Hindered M1 Radiative Decay of from Lattice NRQCD
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1 Introduction Mon 25th July, Lattice 2016 Hindered M1 Radiative Decay of and from Lattice NRQCD arxiv: , R. Dowdall, C. Davies, R. Horgan, G. Von Hippel, M. Wingate
2 Motivation Terminology M1 Radiative Decay Requires Spin Flip
3 Motivation Terminology M1 Allowed M1 : Radiative Decay Requires Spin Flip
4 Motivation Terminology M1 Allowed M1 : Hindered M1 : Radiative Decay Requires Spin Flip
5 Motivation Inspirational Motivation!! Full Understanding of Low-Lying States/Decays
6 Motivation Inspirational Motivation!! Full Understanding of Low-Lying States/Decays 2015 PDG
7 Motivation Inspirational Motivation!! Full Understanding of Low-Lying States/Decays?? 2015 PDG
8 Motivation Inspirational Motivation!! Full Understanding of Low-Lying States/Decays Production of Spin Singlets:
9 Motivation Inspirational Motivation!! Full Understanding of Low-Lying States/Decays Production of Spin Singlets: Exclusion of parity odd Higgs
10 Motivation Inspirational Motivation!! Full Understanding of Low-Lying States/Decays Production of Spin Singlets: Exclusion of parity odd Higgs Laboratory to test relativistic effects: NRQCD =? Experiment
11 Theory Decay Rate:
12 Theory Decay Rate:
13 Theory NRQCD Evolution: as
14 Theory Currents and Power Counting from NRQCD + NRQED
15 Theory Currents and Power Counting from NRQCD + NRQED
16 Theory Currents and Power Counting from NRQCD + NRQED Need matching coefficient of L.O. Current Operator: with,
17 Theory Currents and Power Counting from NRQCD + NRQED Need matching coefficient of L.O. Current Operator: with,
18 Lattice NRQCD Lattice Methodology
19 Lattice NRQCD Lattice Methodology on one slide 1. Get one of these:
20 Lattice NRQCD Lattice Methodology on one slide 1. Get one of these: 2. Compute the 2pt functions:
21 Lattice NRQCD Lattice Methodology on one slide 1. Get one of these: 2. Compute the 2pt functions: 3. Compute the 3pt functions:
22 Lattice NRQCD Lattice Methodology on one slide 1. Get one of these: 2. Compute the 2pt functions: 3. Compute the 3pt functions: 4. Fit the data in your favourite way!
23 Lattice NRQCD Lattice Methodology on one slide NB: Details swept under the rug, ask if interested! For this talk, only necessary to know that it is possible to accurately extract energies and matrix elements from lattice QCD
24 Lattice NRQCD Results for Form Factors Not 10% of!!
25 Lattice NRQCD Results for Form Factors Not 10% of!!
26 Lattice NRQCD Results for Form Factors Not 10% of!! N.B., In hindered decays ( ) the leading order matrix element is suppressed, making sub-leading currents appreciable N.B., Destructive Interference occurs in the decay
27 Lattice NRQCD Results for Form Factors
28 Lattice NRQCD Results for Form Factors
29 Lattice NRQCD Results for Form Factors Overlap Suppressed N.B.
30 Lattice NRQCD Results for Form Factors
31 Lattice NRQCD Results for Form Factors N.B., In hindered decays the leading order matrix element is suppressed, making particular relativistic corrections due to perturbative potentials (arising from terms in the Hamiltonian) appreciable
32 Lattice NRQCD Extrapolation
33 Wrapping Up What did we learn?
34 Wrapping Up What did we learn? Due to suppression of L.O. matrix element in hindered M1 decays, in order to accurately predict one needs: Relativistic corrections in current (Need multiple current corrections)
35 Wrapping Up What did we learn? Due to suppression of L.O. matrix element in hindered M1 decays, in order to accurately predict one needs: Relativistic corrections in current (Need multiple current corrections) Relativistic corrections in action (Need relativistic corrections in action)
36 Wrapping Up What did we learn? Due to suppression of L.O. matrix element in hindered M1 decays, in order to accurately predict one needs: Relativistic corrections in current (Need multiple current corrections) Relativistic corrections in action (Need relativistic corrections in action) Radiative corrections in action (Need precise matching coefficients)
37 Wrapping Up What did we learn? Due to suppression of L.O. matrix element in hindered M1 decays, in order to accurately predict one needs: Relativistic corrections in current (Need multiple current corrections) Relativistic corrections in action (Need relativistic corrections in action) Radiative corrections in action (Need precise matching coefficients) We (HPQCD) Have Done THIS!!!
38 Experimental Aside Radiative Decays What do experimentalists see?! Picture
39 Experimental Aside Line Shape from CLEO:ArXiv:
40 Experimental Aside Line Shape from KEDR:ArXiv: CLEO:ArXiv: N.B., Need Energy Dependence of matrix element ( damping function) to fit line shape correctly.
41 Experimental Aside Mass of the 2015 PDG From Hindered M1 Decays From E1 Decays
42 Experimental Aside Mass of the 2015 PDG From Hindered M1 Decays From E1 Decays Reason for tension here: Correct damping function (matrix element including suppression effects) needs to be used when fitting line shape from hindered M1 decays???
43 Current Work The Hindered M1 Decay
44 Ending What Did We learn? Hindered M1 decays are difficult to predict as the L.O. matrix element is suppressed
45 Ending What Did We learn? Hindered M1 decays are difficult to predict as the L.O. matrix element is suppressed This produces sensitivity to relativistic and radiative corrections
46 Ending What Did We learn? Hindered M1 decays are difficult to predict as the L.O. matrix element is suppressed This produces sensitivity to relativistic and radiative corrections Yet, it is possible to accurately and reliably calculate from first principles (using LQCD)
47 Ending What Did We learn? Hindered M1 decays are difficult to predict as the L.O. matrix element is suppressed This produces sensitivity to relativistic and radiative corrections Yet, it is possible to accurately and reliably calculate from first principles (using LQCD) A damping function (including suppression effects) might be needed when fitting the experimental line-shape from hindered M1 decays
48 Ending Future/Questions Get width from needed for new-physics search in (arxiv: )
49 Ending Future/Questions Get width from needed for new-physics search in (arxiv: ) Questions!?!
50 Ending Back Up Slides
51 Lattice NRQCD Two Point Calculation a 1. Build interpolating operators, which overlap with states having specific quantum numbers, e.g., 2. Calculate on the lattice numerically
52 Lattice NRQCD Three Point Calculation 1. Build current operators which we are interested in: 2. Calculate numerically with the same twist as in the two point calculation
53 Lattice NRQCD Bayesian Fitting Simultaneously fit two point correlator for data to and three point correlator data in order to and extract what we need:
54 Lattice NRQCD Coulomb Gauge Fixed Ensembles MILC da Configurations ( HISQ)
55 Theory Fitting
56 Theory Potential Model for L.O. Matrix Element
57 Theory Potential Model for L.O. Matrix Element
58 Theory Potential Model for L.O. Matrix Element Suppressed. Difficult to predict.
59 Theory L.O. Matrix Element dependence on spin-spin potential ArXiv:
60 Current Work The Hindered M1 Decay
61 Current Work The Hindered M1 Decay
62 Current Work The Hindered M1 Decay N.B., Matrix element dependence on spinspin potential has opposite sign in this decay relative to (backup slides) N.B., spin-spin potential contribution dominates and L.O. matrix element becomes negative
63 Current Work The Hindered M1 Decay
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