The Hierarchy Problem on Neutral

Transcription

1 The Hierarchy Problem on Neutral Natural Theories with Colorless Top Partners Gustavo Burdman University of São Paulo - IAS Princeton

2 Is the discovery of the Higgs the End of Naturalness?

3 Naturalness and the LHC Is the Electroweak scale natural? The LHC found the Higgs Plus nothing else. M Planck E bounds v EW } Little hierarchy

4 Naturalness and the LHC Is the Electroweak scale natural? The LHC found the Higgs Plus nothing else. M Planck E bounds few TeV Tuned E bounds SM } Little hierarchy v EW

5 Naturalness and the LHC UV sensitivity of m 2 h dominated by top quark + ) { Top partners X carry color Easily produced at the LHC

6 Colorless Top Partners Last refuge of naturalness? Top partners need not carry color If symmetry protecting m 2 h does not commute with SU(3) c Exchanges SU(3) c! SU(3) 0 The X s are charged under SU(3) 0 Bounds on m X not as stringent Colorless X models are more natural

7 Colorless Top Partners General idea To solve the Little Hierarchy problem M Planck E bounds v EW } Little hierarchy SM + colorless top partners

8 Colorless Top Partners Ingredients for neutral naturalness Symmetry protecting the Higgs: spontaneously broken global symmetry, SUSY, Extend the color gauge symmetry to have at least [SU(3)] 2 Either impose a discrete symmetry or orbifold In general, CTP theories can be obtained from orbifolding N.Craig, S.Knapen, P. Longhi, , Models Twin Higgs Folded SUSY Z. Chacko, H. Goh and R. Harnik, hep-ph/ G.B., Z.Chacko, H. Goh, R. Harnik, hep-ph/ Quirky Little Higgs H. Cai, H.-C. Cheng, J. Terning,

9 The Twin Higgs Z. Chacko, H. Goh and R. Harnik, hep-ph/ Higgs is a pngb of a spontaneously broken global symmetry Starting with a fundamental with potential V (H) = m 2 H H + (H H) 2 SU(4)! SU(3) 7 NGBs

10 The Twin Higgs Gauge a subgroup: SU(2) A SU(2) B H = HA H B Choose hhi so that H A stays massless SM Higgs doublet Gauge interactions break global symmetry explicitly Quadratically divergent contributions to V

11 Gauge loops lead to The Twin Higgs gah 2 A H A 2 A + gbh 2 B H B 2 B But imposing a Z 2 symmetry g A = g B = g, A = B g2 2 H H is SU(4) symmetric

12 The Twin Higgs Extend to all SM interactions Mirror SM sector SM A SM B E.g. Top Yukawas: AH A q A t A + B H B q B t B generate A H A H A 2 A + 2 BH B H B 2 B Z H H

13 Twin Higgs in Non-linear Representation H = HA H B = e i f f 1 C A with = h h h 1 h C A and all the B NGBs were eaten by B gauge bosons The SM Higgs is h1 h = h 2

14 Cancellation t hq A t A + t f 1 2f h h q B t B t A t f h t t h q B t B q A h t/2f h But q B,t B have SU(3) B color

15 Breaking of Z 2 Symmetry If Z 2 is exact v EW = f Adding a soft breaking term µ 2 H A 2 allows v EW <f Couplings of the Higgs to SM fields suppressed by cos = cos v p 2 f

16 Twin Higgs Models Identical Twin: Chacko, Goh, Harnik Complete copy of the SM f v ' 3 10 ) 0 QCD > QCD Light quarks and leptons U(1) B?

17 Twin Higgs and Higgs Physics All Higgs couplings to SM states suppressed by cos E.g.: (pp! ) = SM(pp! h) cos 2 (! A cos 2 i )= SM(h! SM i ) Invisible width (! B) = SM (h) sin 2 with <1 for v EW <f

18 Identical Twin Higgs couplings G.B., Z.Chacko, R.Harnik, L. Lima, C. Verhaaren,

19 Twin Higgs Models Fraternal Twin: Craig, Katz, Strassler, Sundrum, Only minimal fermion content to solve hierarchy problem Q 3, t R, b R, L 3, R 3rd generation twin fermions Higgs glueballs SM c 0 18m 10 GeV m 0 7 f 750 GeV 4

20 Twin Higgs Dark Matter Twin strong sector generates a higher strong scale 0 QCD > QCD ) m n ' few m n Possible Asymmetric Dark Matter candidate

21 Twin Higgs Dark Matter Twin strong sector generates a higher strong scale 0 QCD > QCD ) m n ' few m n Possible Asymmetric Dark Matter candidate M. Farina, CDMSlite SuperCDMS Lux

22 Fraternal Twin Higgs Dark Matter Asymmetric DM: I. Garcia, R. Lasemby, J. March-Rusell, Twin bottom baryons b Thermal Relic (TWIMP?) Mostly I. Garcia, R. Lasemby, J. March-Rusell, N. Craig, A. Katz,

23 Colorless Top Partners in Supersymmetry

24 Folded Supersymmetry G.B., Z.Chacko, H. Goh, R. Harnik, hep-ph/ Cancellation of top divergence u q, ũ H u t t H u q H u 2 t H u Squarks need to be charged under SU(2) L Need not be charged under SU(3) c But how?

25 Bifold Protection Global U(N) SQ i Qi i =1...,N M 2 S is quadratically divergent Supersymmetrize Duplicate index running in loop: i =1,...,2N

26 Bifold Protection Define = C A 1. N N +1. 2N Theory is invariant under { S! S Z 2 Q i! Q i Q i! Qi 2R{ fermions odd Z bosons even

27 Orbifold projection: Bifold Protection Project out states odd under Z 2 Z 2R Z 2 q 1... q q N q N+1... q 2N q N q N+1... q 2N 1 +1 Z 2R

28 Bifold Protection Project out states odd under Z 2 Z 2R Z 2 q 1... q q N q N+1... q 2N q N q N+1... q 2N 1 +1 Z 2R

29 Bifold Protection Accidental SUSY: spectrum not supersymmetric q 1. q N + q N+1. q 2N But still cancels one-loop quadratic divergence q i S S S S q j i =1,...,N j = N +1,...,2N Large-N orbifold correspondence: S.Kachru, E. Silverstein, hep-th/ ; M.Schmaltz, hep-th/ M.Bershadsky, A.Johansen, hep-th/ ;

30 Realistic Folded SUSY Model Gauge symmetry: SU(3) A SU(3) B Z 2 SU(2) L U(1) Y Orbifold so that: q A,u A + q B, ũ B remain in the spectrum No gauginos Yukawas obey ( t h u q A u A +h.c.)+ 2 t q B h u t ũ B 2 h u 2 Accidental SUSY still protects m 2 h

31 Folded SUSY UV Completion Can be realized in 5D compactified on S 1 /Z 2 H U,H D SU(3) A SU(3) B Z 2 SU(2) L U(1) Y SUSY broken by BCs (Scherk-Schwarz) ˆQ A, ˆQ B, ÛA, ÛB, ˆD A, ˆD B ˆL A, ˆL B, ÊA, ÊB BCs break Z 2 at R 0 R

32 Fermion zero modes from Folded SUSY Spectrum ˆQ A, ÛA, ˆD A, ˆL A, ÊA Scalar zero modes from ˆQ B, ÛB, ˆD B, ˆL B, ÊB Localize Higgses at y =0 (y) t {Q 3A H U U 3A + Q 3B H U U 3B } generates desired Yukawas at low energies

33 Folded SUSY Spectrum Zero-mode Folded sfermions: A. Delgado, A. Pomarol, M Quiros, hep-ph/ m 2 Q = K m 2 U = K m 2 D = K m 2 L = K m 2 E = K g g g g g g2 1 R g g2 1 R g g2 1 R 2 1 R 2 1 R 2 plus Yukawa contributions for 3rd generation m 2 Q 3 = K 2 t R 2 m 2 U 3 = K 2 t R 2

34 Folded SUSY R <4 1 R 5D SUSY Accidental SUSY 1 R (5 7) TeV v EW

35 Folded SUSY Signals

36 Folded SUSY Signals at the LHC Electroweak pair production of F-squarks But m T 0 QCD ' few GeV they do not hadronize q p p q squirks have to come back for annihilation

37 Squirk Annihilation G.B., Z.Chacko, H.Goh, R. Harnik, C. Krenke, q W ± ũ W ± q d Annihilation is prompt Onium is in s-wave before annihilation

38 Bounds from the LHC G.B., Z.Chacko, R.Harnik, L. Lima, C. Verhaaren, Assumes No smearing No decay m T m T >{ } GeV Direct search better than Higgs couplings

39 Folded Sleptons (G.B., R. D'Agnolo, 150x.xxxx) In the minimal model, lepton hypermultiplets ˆL A (1, 1, 2, 1/2) ˆLB (1, 1, 2, 1/2) Ê A (1, 1, 1, 1) Ê B (1, 1, 1, 1) Zero modes: Leptons F-sleptons Lightest F-slepton is stable! Need to add Z 2 preserving HDOs Z E.g. (y) d 2 UA U A D A E B + U BU B D B E A Highly displaced vertices

40 Folded SUSY Glueball Decays D. Curtin, m t (GeV) [Folded SUSY] m T (GeV) [Twin Higgs] m 0 (GeV) Will start being competitive at HL-LHC

41 Summary We still have natural theories of EWSB not ruled out by data Signals at colliders are different The LHC has sensitivity for a lot of the parameter space But not impossible that HL-LHC ends and some "natural" parameter space still there (e.g. Identical Twin Higgs) All these theories have low cutoffs (< 20 TeV) Experiment: Higher energies Theory: UV completions Interesting for DM model building (especially ADM)