On a Singular Solution in Higgs Field (2) -A Representation of Certain f 0 Mesons Masses.
|
|
- Terence Barrett
- 6 years ago
- Views:
Transcription
1 On a Singular Solution in Higgs Field () -A Representation of Certain f Mesons Masses. Kazuyoshi KITAZAWA Mitsui Chemicals (DPF Meeting 11, August 9-13, Brown Univ.)
2 Contents We have recently discussed the mass and the basic structure of SM Higgs boson (H ) by obtaining asymptotic solution for their equation of motion of nonlinear Klein-Gordon type PDE. In this paper, we ll treat with above in mind; Masses of glueball (GB) of ground state and of certain f mesons, Ur-SM Higgs boson (ur-h ) which will consist of a number of GBs and/or f above for respective fullerene structure, A representation of these f mesons masses by masses ofπoctet and GB, And transformation of ur-h into H. DPF Meeting 11: Aug. 9-13
3 == Introductory review -SM Higgs mass formula == EOM of Higgs field should have a solution at the point of vacuum expectation value v, or. When we choose an asymptotic form for () s near s as, ( s) avs 1 exp s s, i where s c t x x : relativistically invariant distance from origin i Then, asymptotically, And expanding near s ; 3 (), () 3 ( s ) avs 1 1 s s a vs s 1 s s v a s a as s 1 1 s, where,, < 1. DPF Meeting 11: Aug
4 Higgs Mass Formula So, v, ( ) : Asymptotic singular solution Thus from EOM, Higgs field mass formula is ( ), m W W g (Z ) G, where, infinitesimal Grassmann number W c W W g m, W c (Z ) G m, where c, c :constant Z Z W Z m W W g (Z ) G mw mz 1 k mw mz, where cw cz cw cz k DPF Meeting 11: Aug
5 H 1 M km W km Z (1) (1) H (1) (1) (1) (1) nwm nzm N M Generally, M ( M ) cos ( M )sin, W W Z Z nw where W, N Z n Z N n M ; n M W W Z Z H H H where W Z DPF Meeting 11: Aug
6 1 w k, z k Thus, w z k 1 ( w z) 1 Thus, k MW MZ 1 1 M ( ) H dm ( ) M H d M M M M W, then cos W , MZ W W Z H 1cos W MW MZ DPF Meeting 11: Aug
7 .3. M GeV c H km ' km ' W 1 Z 1 tan tan cos W 41.4 deg DPF Meeting 11: Aug
8 Extended EOM of Higgs scalar field ( ) from Euler-Lagrange equation v m g W W G Z t 4 1 gm WW W GM Z Z 1 1 v b i i i v m bb m c cc mt tt md dd mu uu ms ss i i i DPF Meeting 11: Aug
9 Extended Higgs boson mass formula m W W g mq q q G bsd bsd F G mq q q G + (Z ) cu cu F m tt G i( cu), t i F i( bsd ) DPF Meeting 11: Aug
10 Top quark mass formula We assume that the probability of m t -decay procs e s obeys a binominal distribution of beeing k-times in n-trials (-particles) with r as decay-mode parameter. C r (1 r ) m C r (1 r ) m C r (1 r ) m k nk k1 nk k nk1 n k t n k W ( bsd ) n k Z ( cu) C r (1 r ) (1 r ) m r m, k1 nk1 n k W ( bsd ) Z ( cu) m m / r m / (1 r ) t W ( bsd ) Z ( cu) r 1 DPF Meeting 11: Aug
11 Stationary mass value of top quark r dm t dr, M M M M ( M M M M )( M M M ) W b s d W b s d Z c u M M M M M M M Z c u W b s d M t M M M M M M M GeV/c, M 1 W b s d Z c u 171.6(6) with b 4.68 GeV/c 1S Mass. CDF / D s experimental result : GeV/c C. Amsler et al., Physics LettersB667, 1 8 ; updated(1) 1 4 DPF Meeting 11: Aug
12 H is expected to be a composite scalar meson M ( tt ) * M M 11.1(3) GeV/c H t M M M *.49() GeV/c ( tt ) H little smaller than masses of and is smaller than mass of (tt) * H, K mesons, meson. radiative decay of 1-photon emission DPF Meeting 11: Aug
13 DPF Meeting 11: Aug
14 Basic structure of SM Higgs boson mass (1) Constructed by heavy mesons masses of all spin, such as B B B B D D S S C C S S () Then expected that they will form a polyhedron composed of planes of hexagon, in space. And, effective number of planes of hexagon should be n eff M theory H. Int 4. M B B B B D D S S C C S S DPF Meeting 11: Aug
15 Comparison of SM Higgs boson mass values M (3 ) 3 c, H c,...(exper. values) 1.61 GeV/c, M where, GeV/c M i 1 4 H (theor. with M, M ) W Z B B B B D D S S C C S S DPF Meeting 11: Aug
16 Outer shell from mass of SM Higgs boson D S B S B C B C D S B C B S D S B C B S D S B S B S B C B C D S D S B C B C D S D S B S B S B C B S D S B C B S D S B C D S D S B S B C DPF Meeting 11: Aug
17 M Comparison of Central meson s mass values 3 c (theor.) M i M K K KK 3, MeV/c, where, MeV/c 3 (exper.) c Inner shell from mass of 3η c K K K K K K K K K K DPF Meeting 11: Aug
18 == Structure of ur-sm Higgs Boson == -A Representation of Certain f Mesons Masses. BETHE-SALPETER EQUATION WITH GOLDSTEIN APPROXIMATION The general form of B-S: K p, P I p, P, B Br B B Br where DPF Meeting 11: Aug Br Fa a KB Fa PB p Fb bpb p 4 IB d pi p, p; PB pp, : BS amplitude B B 1, : modified Feynman propagators Fb I p, p; P B : irreversible part of the process., 18
19 The B-S for fermion (t)-antifermion (t_bar) bound state with total four momentum dq S q P x q, PS q P 4 K ; q, q ; P x, x qp, 4 where d x T x x P. 1 1 q P, 1 1 p q P, p q P where q : relative momentum, P : total momentum of bound state S : fermion propagator x :BS-amplitude of spinor T : operator of time ordered DPF Meeting 11: Aug
20 The Goldstein equation for abelian vector gluon model*, with the ladder approximation after putting P μ = and x m q Fq q, F q 5 4 d q 4 i qq F i After the Wick rotation and then the Fourier transform, 1 r mr f K mr 1, where < 1. e 3 4 3, : gauge parameter, q. * K. Higashijima and A. Nishimura, Nucl. Phys., B113, 173 (1976) DPF Meeting 11: Aug. 9-13
21 The required form of (massive) gluon propagator: Dr () m 1 K mr ˆ GeV/c mr ˆ GeV/c r mˆ fm where m, fm, 1. Compton wavelength of glueball in ground state: c.393fm, provided mgb 5.55 m m c GB, 1 MeV/c. (Thus we may put also as r.) c DPF Meeting 11: Aug
22 After all, virtual bound tt_bar decay is expected to have at last the glueball (1),(),,(N) producing process: DPF Meeting 11: Aug. 9-13
23 Color valence of glueball Color valence of glueball =4 DPF Meeting 11: Aug
24 Clustering force between glueballs = Color valence In lattice QCD it is now believed that there might be several scalar mesons of f (137), f (15), f (171) all of which are supposed to have some contents of glueball (GB) of grand state. Then we can expect similar structure of the carbon fullerenes for these scalar mesons. DPF Meeting 11: Aug
25 Glueball (GB) Cluster as ur-sm Higgs Boson By putting each fullerene number for these mesons as N 9, N 8, N 7 with M ur-h =1.611GeV/c, MGB 1 3 M 3 i1 f i ( ) ur-h o i GB i i M N M N 1, N. GB 3 i1, 5.55MeV c as an element of GB4-fullerene.9,.333, , ; i The f (15) will have a glueball for each element of GB 8 since.333 3=1. DPF Meeting 11: Aug
26 Comparison to Experimental Mass Values of Scalar Meson Our Calculation Experiment (PDG_1) f 6 GB f f f DPF Meeting 11: Aug
27 A Hexagon on ur-h (GB 4 ) DPF Meeting 11: Aug
28 Fullerene structure of ur-sm Higgs Boson: GB 4 f(6) 4 I h symmetry 11-Hexagons 1-Pentagons by Euler s theorem for polyhedron DPF Meeting 11: Aug
29 A representation of f masses with πoctet (light pseudoscalar meson) and GB mass m f (137) GB 3 7 K K m i, m f (15) 3GB, m i m f (171) 1 GB K K 3 4. m i DPF Meeting 11: Aug
30 Transformation (decay) of ur-h into H Remind that ( tt )* H, where H condensates into GB fullerene (ur-h ), and M (3 H c c Mi 1) 3 c : 3 1S 3J 3 6f 6, B B B B D D S S C C S S ) 3, S 18f 6 6f 15. ) 1 : c c 5 f 15 3f 6, 1 6f 6 f 15. DPF Meeting 11: Aug
31 3) 4 B B B B D D S S C C S S : B B 6 B B 6 D D 6 f, 4f, S S C C S S 8f, B B B B D D 16f S S C C S S 4 f. After all, we have the transformation under mass invariance that H 4f 6 8f 15 ur-h. 4GB DPF Meeting 11: Aug
32 Fullerenes of Icosahedral (I h ) Symmetry As far as carbon fullerenes, C, C 6, C 8, C 18, C 4 have a common point group: I h which is of the icosahedral symmetry. Thus we expect that GB 8 (f(15)) and GB 4 (ur-h ) also have I h. Therefore, inversely, we could expect that the f meson which has a fullerene structure of I h symmetry, it may consist of pure GB. DPF Meeting 11: Aug
Quantum Field Theory 2 nd Edition
Quantum Field Theory 2 nd Edition FRANZ MANDL and GRAHAM SHAW School of Physics & Astromony, The University of Manchester, Manchester, UK WILEY A John Wiley and Sons, Ltd., Publication Contents Preface
More informationQuantum Field Theory. and the Standard Model. !H Cambridge UNIVERSITY PRESS MATTHEW D. SCHWARTZ. Harvard University
Quantum Field Theory and the Standard Model MATTHEW D. Harvard University SCHWARTZ!H Cambridge UNIVERSITY PRESS t Contents v Preface page xv Part I Field theory 1 1 Microscopic theory of radiation 3 1.1
More informationParticle Physics. experimental insight. Paula Eerola Division of High Energy Physics 2005 Spring Semester Based on lectures by O. Smirnova spring 2002
experimental insight e + e - W + W - µνqq Paula Eerola Division of High Energy Physics 2005 Spring Semester Based on lectures by O. Smirnova spring 2002 Lund University I. Basic concepts Particle physics
More information4. The Standard Model
4. The Standard Model Particle and Nuclear Physics Dr. Tina Potter Dr. Tina Potter 4. The Standard Model 1 In this section... Standard Model particle content Klein-Gordon equation Antimatter Interaction
More informationMesons beyond the quark-antiquark picture: glueballs, hybrids, tetraquarks - part 1 - Francesco Giacosa
Mesons beyond the quark-antiquark picture: glueballs, hybrids, tetraquarks - part 1-55 Cracow School of Theoretical Physics 20 28/6/2015, Zakopane, Poland Outline The Lagrangian of QCD and its symmetries
More informationBack to Gauge Symmetry. The Standard Model of Par0cle Physics
Back to Gauge Symmetry The Standard Model of Par0cle Physics Laws of physics are phase invariant. Probability: P = ψ ( r,t) 2 = ψ * ( r,t)ψ ( r,t) Unitary scalar transformation: U( r,t) = e iaf ( r,t)
More informationPhysics at Hadron Colliders
Physics at Hadron Colliders Part 2 Standard Model Physics Test of Quantum Chromodynamics - Jet production - W/Z production - Production of Top quarks Precision measurements -W mass - Top-quark mass QCD
More informationSpectra of Light and Heavy Mesons, Glueball and QCD Effective Coupling Gurjav GANBOLD Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna
Spectra of Light and Heavy Mesons, Glueball and QCD Effective Coupling Gurjav GANBOLD Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna XIV International Conference on Hadron Spectroscopy 13-17
More informationDr Victoria Martin, Spring Semester 2013
Particle Physics Dr Victoria Martin, Spring Semester 2013 Lecture 3: Feynman Diagrams, Decays and Scattering Feynman Diagrams continued Decays, Scattering and Fermi s Golden Rule Anti-matter? 1 Notation
More informationLecture 3. Experimental Methods & Feynman Diagrams
Lecture 3 Experimental Methods & Feynman Diagrams Natural Units & the Planck Scale Review of Relativistic Kinematics Cross-Sections, Matrix Elements & Phase Space Decay Rates, Lifetimes & Branching Fractions
More informationINTRODUCTION TO THE STANDARD MODEL OF PARTICLE PHYSICS
INTRODUCTION TO THE STANDARD MODEL OF PARTICLE PHYSICS Class Mechanics My office (for now): Dantziger B Room 121 My Phone: x85200 Office hours: Call ahead, or better yet, email... Even better than office
More informationDi-photon at 750 GeV! (A first read)
Di-photon at 750 GeV! (A first read) LianTao Wang ( )! U. Chicago Jan. 1, IAS HKUST Excess around 750 GeV?! Events / 40 GeV 4 3 1 ATLAS Preliminary Data Background-only fit -1 s = 13 TeV, 3. fb Events
More informationlattice QCD and the hadron spectrum Jozef Dudek ODU/JLab
lattice QCD and the hadron spectrum Jozef Dudek ODU/JLab the light meson spectrum relatively simple models of hadrons: bound states of constituent quarks and antiquarks the quark model empirical meson
More informationIX. Electroweak unification
IX. Electroweak unification The problem of divergence A theory of weak interactions only by means of W ± bosons leads to infinities e + e - γ W - W + e + W + ν e ν µ e - W - µ + µ Divergent integrals Figure
More informationSelected results in hadronic final state in DIS at HERA
Stathes Paganis Columbia Univ., Nevis Labs on behalf of H1 and ZEUS collaborations Recontres de Moriond - March 23 23 Outline Forward jet and π production in DIS First observation of K s K s resonances
More informationFundamental Interactions (Forces) of Nature
Chapter 14 Fundamental Interactions (Forces) of Nature Interaction Gauge Boson Gauge Boson Mass Interaction Range (Force carrier) Strong Gluon 0 short-range (a few fm) Weak W ±, Z M W = 80.4 GeV/c 2 short-range
More informationDerivation of Electro Weak Unification and Final Form of Standard Model with QCD and Gluons 1 W W W 3
Derivation of Electro Weak Unification and Final Form of Standard Model with QCD and Gluons 1 W 1 + 2 W 2 + 3 W 3 Substitute B = cos W A + sin W Z 0 Sum over first generation particles. up down Left handed
More informationThe Strong Interaction
The Strong Interaction What is the quantum of the strong interaction? The range is finite, ~ 1 fm. Therefore, it must be a massive boson. Yukawa theory of the strong interaction Relativistic equation for
More informationStandard Model of Particle Physics SS 2013
Lecture: Standard Model of Particle Physics Heidelberg SS 013 Weak Interactions II 1 Important Experiments Wu-Experiment (1957): radioactive decay of Co60 Goldhaber-Experiment (1958): radioactive decay
More informationSUSY Phenomenology & Experimental searches
SUSY Phenomenology & Experimental searches Alex Tapper Slides available at: http://www.hep.ph.ic.ac.uk/tapper/lecture.html Reminder Supersymmetry is a theory which postulates a new symmetry between fermions
More informationMass of Higgs Boson and Branching Ratios
Copyright 2015 by Sylwester Kornowski All rights reserved Mass of Higgs Boson and Branching Ratios Sylwester Kornowski Abstract: Within the Scale-Symmetric Theory we described mass spectrum of the composite
More informationBasics of Higgs Physics
Basics of iggs Physics Sven einemeyer, IFCA (Santander) Karlsruhe, 07/2007 1. The iggs Boson in the SM 2. The iggs Boson in the MSSM Sven einemeyer Basics of iggs Physics presusy07 (Karlsruhe) 23.07.2007
More informationDalitz Decays of Pseudo-Scalar Mesons
Dalitz Decays of Pseudo-calar Mesons Michael Kunkel On behalf on the CLA collaboration Outline 1 Introduction Constituent Quark Model Form Factors 2 CLA etup 3 G12 Experiment 4 Current tate of the Art
More informationStandard Model of Particle Physics SS 2013
Lecture: Standard Model of Particle Physics Heidelberg SS 2012 Experimental Tests of QED Part 2 1 Overview PART I Cross Sections and QED tests Accelerator Facilities + Experimental Results and Tests PART
More informationMeasurements of the W Boson Mass and Trilinear Gauge Boson Couplings at the Tevatron
Measurements of the Boson Mass and Trilinear Gauge Boson Couplings at the Tevatron John Ellison University of California, Riverside, USA Selection of and Z events Measurement of the mass Tests of the gauge
More informationPHL424: Feynman diagrams
PHL424: Feynman diagrams In 1940s, R. Feynman developed a diagram technique to describe particle interactions in space-time. Feynman diagram example Richard Feynman time Particles are represented by lines
More informationLecture 8. September 21, General plan for construction of Standard Model theory. Choice of gauge symmetries for the Standard Model
Lecture 8 September 21, 2017 Today General plan for construction of Standard Model theory Properties of SU(n) transformations (review) Choice of gauge symmetries for the Standard Model Use of Lagrangian
More informationThe Standard Model. 1 st 2 nd 3 rd Describes 3 of the 4 known fundamental forces. Separates particle into categories
The Standard Model 1 st 2 nd 3 rd Describes 3 of the 4 known fundamental forces. Separates particle into categories Bosons (force carriers) Photon, W, Z, gluon, Higgs Fermions (matter particles) 3 generations
More informationb hadron properties and decays (ATLAS)
b hadron properties and decays (ATLAS) Milind V. Purohit Univ. of South Carolina, USA for the ATLAS collaboration M. V. Purohit SM@LHC 2012 1 Outline Detector, Di muon trigger, Performance: Mass, vertex
More informationTetraquarks and Goldstone boson physics
Tetraquarks and Goldstone boson physics Christian S. Fischer Justus Liebig Universität Gießen February 2017 Eichmann, CF, Heupel, PLB 753 (2016) 282-287 Review: Eichmann, Sanchis-Alepuz, Williams, Alkofer,
More informationInteractions/Weak Force/Leptons
Interactions/Weak Force/Leptons Quantum Picture of Interactions Yukawa Theory Boson Propagator Feynman Diagrams Electromagnetic Interactions Renormalization and Gauge Invariance Weak and Electroweak Interactions
More informationHiggs Searches and Properties Measurement with ATLAS. Haijun Yang (on behalf of the ATLAS) Shanghai Jiao Tong University
Higgs Searches and Properties Measurement with ATLAS Haijun Yang (on behalf of the ATLAS) Shanghai Jiao Tong University LHEP, Hainan, China, January 11-14, 2013 Outline Introduction of SM Higgs Searches
More informationPhysics 7730: Particle Physics
Physics 7730: Particle Physics! Instructor: Kevin Stenson (particle physics experimentalist)! Office: Duane F317 (Gamow tower)! Email: kevin.stenson@colorado.edu! Phone: 303-492-1106! Web page: http://www-hep.colorado.edu/~stenson/!
More information2007 Section A of examination problems on Nuclei and Particles
2007 Section A of examination problems on Nuclei and Particles 1 Section A 2 PHYS3002W1 A1. A fossil containing 1 gramme of carbon has a radioactivity of 0.03 disintegrations per second. A living organism
More informationATLAS Discovery Potential of the Standard Model Higgs Boson
ATLAS Discovery Potential of the Standard Model Higgs Boson Christian Weiser University of Freiburg (on behalf of the ATLAS Collaboration) 14th Lomonosov Conference on Elementary Particle Physics Moscow,
More informationLecture 10. September 28, 2017
Lecture 10 September 28, 2017 The Standard Model s QCD theory Comments on QED calculations Ø The general approach using Feynman diagrams Ø Example of a LO calculation Ø Higher order calculations and running
More informationThe Scale-Symmetric Theory as the Origin of the Standard Model
Copyright 2017 by Sylwester Kornowski All rights reserved The Scale-Symmetric Theory as the Origin of the Standard Model Sylwester Kornowski Abstract: Here we showed that the Scale-Symmetric Theory (SST)
More informationsin(2θ ) t 1 χ o o o
Production of Supersymmetric Particles at High-Energy Colliders Tilman Plehn { Search for the MSSM { Production of Neutralinos/Charginos { Stop Mixing { Production of Stops { R Parity violating Squarks
More informationLecture 03. The Standard Model of Particle Physics. Part II The Higgs Boson Properties of the SM
Lecture 03 The Standard Model of Particle Physics Part II The Higgs Boson Properties of the SM The Standard Model So far we talked about all the particles except the Higgs If we know what the particles
More informationCharmed Bottom Mesons from Lattice QCD
Charmed Bottom Mesons from Lattice QCD Nilmani Mathur Department of Theoretical Physics Tata Institute of Fundamental Research, India Collaborators : ILGTI, M. Padmanath, R. Lewis Lattice 2016, University
More informationIntercollegiate post-graduate course in High Energy Physics. Paper 1: The Standard Model
Brunel University Queen Mary, University of London Royal Holloway, University of London University College London Intercollegiate post-graduate course in High Energy Physics Paper 1: The Standard Model
More informationBig Bang Planck Era. This theory: cosmological model of the universe that is best supported by several aspects of scientific evidence and observation
Big Bang Planck Era Source: http://www.crystalinks.com/bigbang.html Source: http://www.odec.ca/index.htm This theory: cosmological model of the universe that is best supported by several aspects of scientific
More informationThe Quest for Light Scalar Quarkonia from elsm
Institut für Theoretische Physik Goethe-Universität Frankfurt am Main The Quest for Light calar Quarkonia from elm Denis Parganlija [Based on arxiv: 5.3647] In collaboration with Francesco Giacosa and
More informationFundamental Forces. David Morrissey. Key Concepts, March 15, 2013
Fundamental Forces David Morrissey Key Concepts, March 15, 2013 Not a fundamental force... Also not a fundamental force... What Do We Mean By Fundamental? Example: Electromagnetism (EM) electric forces
More informationExperimental results on nucleon structure Lecture I. National Nuclear Physics Summer School 2013
Experimental results on nucleon structure Lecture I Barbara Badelek University of Warsaw National Nuclear Physics Summer School 2013 Stony Brook University, July 15 26, 2013 Barbara Badelek (Univ. of Warsaw
More informationRecent Results on J/ψ, ψ and ψ Decays from BESII
Recent Results on J/ψ, ψ and ψ Decays from BESII Xiaoyan SHEN (Representing BES Collaboration) Institute of High Energy Physics, Beijing shenxy@ihep.ac.cn Oct. 17 20, 2007, QWG5, DESY, Germany Outline
More informationConfined chirally symmetric dense matter
Confined chirally symmetric dense matter L. Ya. Glozman, V. Sazonov, R. Wagenbrunn Institut für Physik, FB Theoretische Physik, Universität Graz 28 June 2013 L. Ya. Glozman, V. Sazonov, R. Wagenbrunn (Institut
More informationCLEO Results From Υ Decays
CLEO Results From Υ Decays V. Credé 1 2 1 Cornell University, Ithaca, NY 2 now at Florida State University Tallahassee, FL Hadron 05 Outline 1 Introduction The Υ System CLEO III Detector CLEO III Υ Data
More informationarxiv:hep-ph/ v1 18 Mar 2006
Radiative decays of B c mesons in a Bethe-Salpeter model arxiv:hep-ph/0603139v1 18 Mar 2006 A. Abd El-Hady a,1, J. R. Spence b and J. P. Vary b a) Physics Department, King Khalid University, Abha 9004,
More informationQuantum Field Theory. Kerson Huang. Second, Revised, and Enlarged Edition WILEY- VCH. From Operators to Path Integrals
Kerson Huang Quantum Field Theory From Operators to Path Integrals Second, Revised, and Enlarged Edition WILEY- VCH WILEY-VCH Verlag GmbH & Co. KGaA I vh Contents Preface XIII 1 Introducing Quantum Fields
More informationMost of Modern Physics today is concerned with the extremes of matter:
Most of Modern Physics today is concerned with the extremes of matter: Very low temperatures, very large numbers of particles, complex systems Æ Condensed Matter Physics Very high temperatures, very large
More informationPhysique des Particules Avancées 2
Physique des Particules Avancées Interactions Fortes et Interactions Faibles Leçon 6 Les collisions p p (http://dpnc.unige.ch/~bravar/ppa/l6) enseignant Alessandro Bravar Alessandro.Bravar@unige.ch tél.:
More informationInteractions/Weak Force/Leptons
Interactions/Weak Force/Leptons Quantum Picture of Interactions Yukawa Theory Boson Propagator Feynman Diagrams Electromagnetic Interactions Renormalization and Gauge Invariance Weak and Electroweak Interactions
More informationMost of Modern Physics today is concerned with the extremes of matter:
Most of Modern Physics today is concerned with the extremes of matter: Very low temperatures, very large numbers of particles, complex systems Æ Condensed Matter Physics Very high temperatures, very large
More informationBethe Salpeter studies of mesons beyond rainbow-ladder
Bethe Salpeter studies of mesons beyond rainbow-ladder Richard Williams 1 st June 2010 12th International Conference on Meson-Nucleon Physics and the Structure of the Nucleon College of William and Mary,
More informationLecture 02. The Standard Model of Particle Physics. Part I The Particles
Lecture 02 The Standard Model of Particle Physics Part I The Particles The Standard Model Describes 3 of the 4 known fundamental forces Separates particles into categories Bosons (force carriers) Photon,
More informationGoodbye to Large G? Marek Karliner. Cambridge University and Tel Aviv University. with John Ellis, hep-ph/ ph/
Goodbye to Large G? Marek Karliner Cambridge University and Tel Aviv University with John Ellis, hep-ph/0501115 ph/0501115 LC2005, Cairns, 7/2005 nucleon spin quark helicities: q = Z 1 0 h q (x) q (x)
More informationElementary particles, forces and Feynman diagrams
Elementary particles, forces and Feynman diagrams Particles & Forces quarks Charged leptons (e,µ,τ) Neutral leptons (ν) Strong Y N N Electro Magnetic Y Y N Weak Y Y Y Quarks carry strong, weak & EM charge!!!!!
More informationQED and the Standard Model Autumn 2014
QED and the Standard Model Autumn 2014 Joel Goldstein University of Bristol Joel.Goldstein@bristol.ac.uk These lectures are designed to give an introduction to the gauge theories of the standard model
More informationFinding the Higgs boson
Finding the Higgs boson Sally Dawson, BN XIII Mexican School of Particles and Fields ecture 1, Oct, 008 Properties of the Higgs boson Higgs production at the Tevatron and HC Discovery vs spectroscopy Collider
More informationInteractions and Fields
Interactions and Fields Quantum Picture of Interactions Yukawa Theory Boson Propagator Feynman Diagrams Electromagnetic Interactions Renormalization and Gauge Invariance Strong Interactions Weak and Electroweak
More informationElementary Particles II
Elementary Particles II S Higgs: A Very Short Introduction Higgs Field, Higgs Boson, Production, Decays First Observation 1 Reminder - I Extend Abelian Higgs model to non-abelian gauge symmetry: ( x) +
More informationlattice QCD and the hadron spectrum Jozef Dudek ODU/JLab
lattice QCD and the hadron spectrum Jozef Dudek ODU/JLab a black box? QCD lattice QCD observables (scattering amplitudes?) in these lectures, hope to give you a look inside the box 2 these lectures how
More informationStandard Model of Particle Physics SS 2012
Lecture: Standard Model of Particle Physics Heidelberg SS 2012 Experimental Tests of QED Part 2 1 Overview PART I Cross Sections and QED tests Accelerator Facilities + Experimental Results and Tests PART
More informationIntroduction to Perturbative QCD
Introduction to Perturbative QCD Lecture Jianwei Qiu Iowa State University/Argonne National Laboratory PHENIX Spinfest at RIKEN 007 June 11 - July 7, 007 RIKEN Wako Campus, Wako, Japan June 5, 007 1 Infrared
More informationTopics in Standard Model. Alexey Boyarsky Autumn 2013
Topics in Standard Model Alexey Boyarsky Autumn 2013 New particles Nuclear physics, two types of nuclear physics phenomena: α- decay and β-decay See Introduction of this article for the history Cosmic
More informationQCD Phases with Functional Methods
QCD Phases with Mario PhD-Advisors: Bernd-Jochen Schaefer Reinhard Alkofer Karl-Franzens-Universität Graz Institut für Physik Fachbereich Theoretische Physik Rab, September 2010 QCD Phases with Table of
More informationParticle physics today. Giulia Zanderighi (CERN & University of Oxford)
Particle physics today Giulia Zanderighi (CERN & University of Oxford) Particle Physics Particle Physics is fundamental research, as opposed to many applied sciences (medicine, biology, chemistry, nano-science,
More informationThe Quark Parton Model
The Quark Parton Model Quark Model Pseudoscalar J P = 0 Mesons Vector J P = 1 Mesons Meson Masses J P = 3 /2 + Baryons J P = ½ + Baryons Resonances Resonance Detection Discovery of the ω meson Dalitz Plots
More informationParticle Physics I Lecture Exam Question Sheet
Particle Physics I Lecture Exam Question Sheet Five out of these 16 questions will be given to you at the beginning of the exam. (1) (a) Which are the different fundamental interactions that exist in Nature?
More informationProton Structure and Prediction of Elastic Scattering at LHC at Center-of-Mass Energy 7 TeV
Proton Structure and Prediction of Elastic Scattering at LHC at Center-of-Mass Energy 7 TeV M. M. Islam 1, J. Kašpar 2,3, R. J. Luddy 1 1 Department of Physics, University of Connecticut, Storrs, CT 06269
More informationPhysics 4213/5213 Lecture 1
August 28, 2002 1 INTRODUCTION 1 Introduction Physics 4213/5213 Lecture 1 There are four known forces: gravity, electricity and magnetism (E&M), the weak force, and the strong force. Each is responsible
More informationA Dyson-Schwinger equation study of the baryon-photon interaction.
A Dyson-Schwinger equation study of the baryon-photon interaction. Diana Nicmorus in collaboration with G. Eichmann A. Krassnigg R. Alkofer Jefferson Laboratory, March 24, 2010 What is the nucleon made
More informationDr Victoria Martin, Prof Steve Playfer Spring Semester 2013
Particle Physics Dr Victoria Martin, Prof Steve Playfer Spring Semester 2013 Lecture 12: Mesons and Baryons Mesons and baryons Strong isospin and strong hypercharge SU(3) flavour symmetry Heavy quark states
More informationThe hadronization into the octet of pseudoscalar mesons in terms of SU(N) gauge invariant Lagrangian
The hadronization into the octet of pseudoscalar mesons in terms of SU(N gauge invariant Lagrangian National Research Nuclear University Moscow 115409, Moscow, Russia E-mail: a kosh@internets.ru By breaking
More informationLecture 19. November 2, Comments on HW3. Introduction to EWK symmetry breaking. Hydro Model of a Quark-Gluon Plasma Tianyu Dai
Lecture 19 November 2, 2017 Comments on HW3 Introduction to EWK symmetry breaking Hydro Model of a Quark-Gluon Plasma Tianyu Dai 1 Class Plans Date Lecture Essay presentation (15 minutes) Nov. 2 19 Tianyu
More informationKai Zhu on behalf of BESIII collaboration Institute of High Energy Physics, Beijing March, Moriond QCD 2015
Kai Zhu on behalf of BESIII collaboration Institute of High Energy Physics, Beijing 21-28 March, Moriond QCD 2015 Introduction Charmonium & Exotics states BESIII experiment and BEPCII Exotic charmonium-like
More informationHiggs Signals and Implications for MSSM
Higgs Signals and Implications for MSSM Shaaban Khalil Center for Theoretical Physics Zewail City of Science and Technology SM Higgs at the LHC In the SM there is a single neutral Higgs boson, a weak isospin
More informationarxiv: v1 [hep-ex] 7 Jan 2019
Top quarks and exotics at ATLAS and CMS Leonid Serkin on behalf of the ATLAS and CMS Collaborations 1 arxiv:1901.01765v1 [hep-ex] 7 Jan 2019 INFN Gruppo Collegato di Udine, Sezione di Trieste, Udine and
More information2 Meson Spectroscopy at LEAR with the Crystal Barrel. In collaboration with: Academy of Science (Budapest); Universities of Bochum, Bonn,
8 Meson Spectroscopy at LEAR with the Crystal Barrel 2 Meson Spectroscopy at LEAR with the Crystal Barrel C. Amsler, M. Buchler, P. Giarritta, M. Heinzelmann, F. Ould-Saada, C. Pietra, C. Regenfus and
More informationRadiative penguins at hadron machines. Kevin Stenson! University of Colorado!
Radiative penguins at hadron machines Kevin Stenson! University of Colorado! Introduction γ + b q u,c,t W s q b q u,c,t W + s q b q ν W W + u,c,t s q!! Radiative penguins involve b to s,d transitions with
More informationSEARCHES FOR THE NEUTRAL HIGGS BOSONS OF THE MSSM
SEARCHES FOR THE NEUTRAL HIGGS BOSONS OF THE MSSM USING LEP DATA Elizabeth Locci SPP/DAPNIA Saclay Representing LEP Collaborations 1 Outline LEP performance Theoretical framework Search for neutral Higgs
More informationDimuon asymmetry and electroweak precision with Z
Dimuon asymmetry and electroweak precision with Z Seodong Shin Seoul National University, Seoul, Korea TeV 2011, 20 May 2011 Work in progress with H.D. Kim and R. Dermisek Outline Introduction : Same charge
More informationParticle Physics. Tommy Ohlsson. Theoretical Particle Physics, Department of Physics, KTH Royal Institute of Technology, Stockholm, Sweden
Particle Physics Tommy Ohlsson Theoretical Particle Physics, Department of Physics, KTH Royal Institute of Technology, Stockholm, Sweden International Baccalaureate T. Ohlsson (KTH) Particle Physics 1/
More informationDileptonic Bottomonium Decays: Higgs-Boson Signal
: Higgs-Boson Signal Saime Kerman Dokuz Eylul University, Izmir, TURKEY IOPAS HEP Theory Group Seminar 14 December 2016, Academia Sinica Saime Kerman Dokuz Eylul University, Izmir, TURKEY : Higgs-Boson
More informationTwo loop O N f s 2 corrections to the decay width of the Higgs boson to two massive fermions
PHYSICAL REVIEW D VOLUME 53, NUMBER 9 1 MAY 1996 Two loop O N f s corrections to the decay width of the Higgs boson to two massive fermions K Melnikov Institut für Physik, THEP, Johannes Gutenberg Universität,
More informationCharacterizing dark matter model with Higgs portal at the ILC
Characterizing dark matter model with Higgs portal at the ILC Jinmian Li Korea Institute for Advanced Study May 8th, 217 Collaboration with T. Kamon and P. Ko Pheno 217, University of Pittsburgh Jinmian
More information8.882 LHC Physics. Higgs Physics and Other Essentials. [Lecture 22, April 29, 2009] Experimental Methods and Measurements
8.882 LHC Physics Experimental Methods and Measurements Higgs Physics and Other Essentials [Lecture 22, April 29, 2009] Organization Next week lectures: Monday 2pm and Tuesday 9:30am (which room?) Project
More information2.4 Parity transformation
2.4 Parity transformation An extremely simple group is one that has only two elements: {e, P }. Obviously, P 1 = P, so P 2 = e, with e represented by the unit n n matrix in an n- dimensional representation.
More informationVacuum Energy and Effective Potentials
Vacuum Energy and Effective Potentials Quantum field theories have badly divergent vacuum energies. In perturbation theory, the leading term is the net zero-point energy E zeropoint = particle species
More informationMass Components of Mesons from Lattice QCD
Mass Components of Mesons from Lattice QCD Ying Chen In collaborating with: Y.-B. Yang, M. Gong, K.-F. Liu, T. Draper, Z. Liu, J.-P. Ma, etc. Peking University, Nov. 28, 2013 Outline I. Motivation II.
More informationParticle Physics. Lecture 11: Mesons and Baryons
Particle Physics Lecture 11: Mesons and Baryons Measuring Jets Fragmentation Mesons and Baryons Isospin and hypercharge SU(3) flavour symmetry Heavy Quark states 1 From Tuesday: Summary In QCD, the coupling
More informationStudy of Higgs Boson Decaying to Four Muons at s =14 TeV
Study of Higgs Boson Decaying to Four Muons at s =14 TeV R.M. Aly 1, A.A. Abdelalim 1,2, M.N.El-Bakrey 1 and A. Mahrous 1 1 Department of physics, Faculty of science, Helwan University, Cairo, Egypt. 2
More informationPRINCIPLES OF PHYSICS. \Hp. Ni Jun TSINGHUA. Physics. From Quantum Field Theory. to Classical Mechanics. World Scientific. Vol.2. Report and Review in
LONDON BEIJING HONG TSINGHUA Report and Review in Physics Vol2 PRINCIPLES OF PHYSICS From Quantum Field Theory to Classical Mechanics Ni Jun Tsinghua University, China NEW JERSEY \Hp SINGAPORE World Scientific
More informationAn Introduction to. Michael E. Peskin. Stanford Linear Accelerator Center. Daniel V. Schroeder. Weber State University. Advanced Book Program
An Introduction to Quantum Field Theory Michael E. Peskin Stanford Linear Accelerator Center Daniel V. Schroeder Weber State University 4B Advanced Book Program TT Addison-Wesley Publishing Company Reading,
More informationHow I learned to stop worrying and love the tachyon
love the tachyon Max Planck Institute for Gravitational Physics Potsdam 6-October-2008 Historical background Open string field theory Closed string field theory Experimental Hadron physics Mesons mass
More informationIntroduction to the SM (5)
Y. Grossman The SM (5) TES-HEP, July 12, 2015 p. 1 Introduction to the SM (5) Yuval Grossman Cornell Y. Grossman The SM (5) TES-HEP, July 12, 2015 p. 2 Yesterday... Yesterday: Symmetries Today SSB the
More informationSISSA entrance examination (2007)
SISSA Entrance Examination Theory of Elementary Particles Trieste, 18 July 2007 Four problems are given. You are expected to solve completely two of them. Please, do not try to solve more than two problems;
More informationSearching for the Higgs at the LHC
Searching for the Higgs at the LHC Philip Lawson Boston University - PY 898 - Special Topics in LHC Physics 3/16/2009 1 Outline Theory & Background of Higgs Mechanism Production Modes Decay Modes - Discovery
More informationη π 0 γγ decay in the three-flavor Nambu Jona-Lasinio model
TIT/HEP-38/NP INS-Rep.-3 η π 0 γγ decay in the three-flavor Nambu Jona-Lasinio model arxiv:hep-ph/96053v 8 Feb 996 Y.Nemoto, M.Oka Department of Physics, Tokyo Institute of Technology, Meguro, Tokyo 5,
More information