Dark sectors and enhanced h τµ transitions

Transcription

1 Dark sectors and enhanced h τµ transitions Iftah Galon University of California, Irvine April 2, 217 based on arxiv:171:8767 [hep-ph] w. J. Zupan seeded by arxiv: [hep-ph] w. P. Tanedo and A. Kwa Iftah Galon - UC Irvine April 2, 217 SoCal BSM UC Riverside 1

2 Motivation - Flavor in the Leptonic Sector In the SM: y l ij L i HEj + c ν ij Λ 2 L ihl j H ( EWSB = mi l δ ij 1 + h ) l i l j + m ν v ijν i ν j Higgs Physics drives flavor structure Flavor puzzle: (y e, y µ, y τ ) 1 ( 6, 4, 2), m v tiny, U PMNS O(1) mix LHC - sensitive to underlying flavor theory = New Physics Iftah Galon - UC Irvine April 2, 217 SoCal BSM UC Riverside 2

3 Leptonic Flavor Anomalies Several Hints of (Flavor) New Physics: Higgs LFV decays: h τµ (g 2) µ = Proton radius BR(h τ ± µ ) s=8 in % TeV CMS {.89 ±.39 τ h.53 ±.51 ATLAS τ e.77 ±.62 B leptonic decay ratios CMS result 2.4σ Iftah Galon - UC Irvine April 2, 217 SoCal BSM UC Riverside 3

4 LFV Higgs Couplings Simplest SM-extensions will give rise to L Y l ij L i HE j + λ ij Λ 2 L i HE j ( H H ) Kopp, Harnik & Zupan implies m = v 2 V L ( Y + v 2 2Λ 2 λ Then in the mass basis ) V R, y = 1 ( V L Y + 3 v ) 2 2 2Λ λ V 2 R y ij = m i v δ ij + v 2 2Λ 2 V LλV R Iftah Galon - UC Irvine April 2, 217 SoCal BSM UC Riverside 4

5 τ Physics The dominant τ decay modes Leptonic: τ lν τ ν l 35% Hadronic: τ ν τ π τ ν τ ππ 65% τ ν τ πππ inherent Missing-Energy signature Iftah Galon - UC Irvine April 2, 217 SoCal BSM UC Riverside 5

6 τ The LHC Trigger: leptonic, τ e = lepton triggers: p T > 2 GeV hadronic, τ h = 1-prong, 3-prong: hadron + strips but fully reconstructs τ vis partially reconstructs τ inv (1ν, or 2ν) τ-lhc searches are E T -inclusive Iftah Galon - UC Irvine April 2, 217 SoCal BSM UC Riverside 6

7 τ The LHC τ Reconstruction: The collinear approximation Ellis, Hinchliffe, Soldate, & van der Bij (1988) { p 2 boosted τ : τ vis τ inv = = τinv ) p τinv = ˆp τvis ( p τvis E T The Missing Mass Calculator (MMC) / SVFIT Elagin, Murat, Pranko, & Safonov Bianchini, Conway, Friis, & Veelken Iftah Galon - UC Irvine April 2, 217 SoCal BSM UC Riverside 7

8 CMS h τµ In h τµ CMS uses m Coll = (p µ + p τvis + p ν s) 2 SR: 1 GeV < m Coll < 15 GeV, with cuts from CMS-HIG-14-5 Iftah Galon - UC Irvine April 2, 217 SoCal BSM UC Riverside 8

9 CMS h τµ event yields (minor differences between CDS and arxiv versions) where BR(h τµ) =.89% from CMS-HIG-14-5 Iftah Galon - UC Irvine April 2, 217 SoCal BSM UC Riverside 9

10 CMS h τµ τ e + j τ h + j Events / 1 GeV CMS preliminary fb, Data, µτ e Bckg Uncertainty SM Higgs Z+ττ (embedded) + - Z+l l (not τ µ τ e ) Single top quark tt+jets Wγ / Wγ * s = 8 TeV VV Fake leptons LFV Higgs (Br=.9%) Events / 1 GeV CMS preliminary fb, Data, µτ had Bckg Uncertainty SM H Z+ττ (embedded) + - Z+l l (not τ µ τ ) had Single top quark tt+jets VV Fakes (jet τ) s = 8 TeV LFV Higgs (Br=.9%) Data-Bckg (fit) Bckg (fit) collinear M(µτ ) [GeV] e Data-Bckg (fit) Bckg (fit) collinear M(µτ ) [GeV] had from CMS-HIG-14-5 Iftah Galon - UC Irvine April 2, 217 SoCal BSM UC Riverside 1

11 CMS h τµ τ e + 1j τ h + 1j Events / 1 GeV CMS preliminary fb, Data, µτ e Bckg Uncertainty SM Higgs Z+ττ (embedded) + - Z+l l (not τ µ τ e ) Single top quark tt+jets Wγ / Wγ * s = 8 TeV VV Fake leptons LFV Higgs (Br=.9%) Events / 1 GeV CMS preliminary fb, Data, µτ had Bckg Uncertainty SM H Z+ττ (embedded) + - Z+l l (not τ µ τ ) had Single top quark tt+jets VV Fakes (jet τ) s = 8 TeV LFV Higgs (Br=.9%) Data-Bckg (fit) Bckg (fit) collinear M(µτ ) [GeV] e Data-Bckg (fit) Bckg (fit) collinear M(µτ ) [GeV] had from CMS-HIG-14-5 Iftah Galon - UC Irvine April 2, 217 SoCal BSM UC Riverside 11

12 CMS h τµ τ e + 2j τ h + 2j Events / 2 GeV CMS preliminary fb, Data, µτ e Bckg Uncertainty SM Higgs Z+ττ (embedded) + - Z+l l (not τ µ τ e ) Single top quark tt+jets Wγ / Wγ * s = 8 TeV VV Fake leptons LFV Higgs (Br=.9%) Events / 5 GeV CMS preliminary fb, Data, µτ had Bckg Uncertainty SM H Z+ττ (embedded) + - Z+l l (not τ µ τ ) had Single top quark tt+jets VV Fakes (jet τ) s = 8 TeV LFV Higgs (Br=.9%) Data-Bckg (fit) Bckg (fit) collinear M(µτ ) [GeV] e Data-Bckg (fit) Bckg (fit) collinear M(µτ ) [GeV] had from CMS-HIG-14-5 Iftah Galon - UC Irvine April 2, 217 SoCal BSM UC Riverside 12

13 Conspiracy and Dark Matter Additional E T source: new light complex scalar ϕ 1 h τ L µ R ϕ, Λ 2 or τ 1 h µ L τ R ϕ h ϕ Λ 2 µ + BR s of 2-body and to 3-body are comparable Br(h τ ± µ ϕ /ϕ ) Br(h τ + τ ) 1 6 ( mh ) 2 ( 5GeV ) 2 (.1 ) 2, =.66 4πΛy τ Λ y τ Iftah Galon - UC Irvine April 2, 217 SoCal BSM UC Riverside 13

14 Conspiracy and Dark Matter Can h µτφ mimic h µτ: softer decay products h τµ m ϕ = 5 GeV m ϕ = 1 GeV m ϕ = 15 GeV = 2 GeV m ϕ.1.5 angularly denser µ p 14 [GeV] search acceptance reduced T Iftah Galon - UC Irvine April 2, 217 SoCal BSM UC Riverside 14

15 Conspiracy and Dark Matter Can h µτφ mimic h µτ: Broadening and shifting of m Coll τµ, worry about Z τµ Events / 1 GeV.6 τ e µ N jets =.5 s = 8 TeV h τµ.4.3 m ϕ = 5 GeV m ϕ = 1 GeV m ϕ = 15 GeV m ϕ = 2 GeV.2.1 Events / 1 GeV µ τ h s = 8 TeV N = jets h τµ m ϕ = 5 GeV m ϕ = 1 GeV m ϕ = 15 GeV m ϕ = 2 GeV (Coll) mτµ [GeV] (Coll) mτµ [GeV] Iftah Galon - UC Irvine April 2, 217 SoCal BSM UC Riverside 15

16 Conspiracy and Dark Matter Can h µτφ mimic h µτ: Broadening and shifting of m Coll τµ, worry about Z τµ Events / 1 GeV.5 τ e µ N jets = 1 s = 8 TeV.4 h τµ m ϕ = 5 GeV.3 m ϕ = 1 GeV m ϕ = 15 GeV.2 m ϕ = 2 GeV Events / 1 GeV µ τ h s = 8 TeV N = 1 jets h τµ m ϕ = 5 GeV m ϕ = 1 GeV m ϕ = 15 GeV m ϕ = 2 GeV (Coll) mτµ [GeV] (Coll) mτµ [GeV] Iftah Galon - UC Irvine April 2, 217 SoCal BSM UC Riverside 16

17 Conspiracy and Dark Matter Can h µτφ mimic h µτ: Broadening and shifting of m Coll τµ, worry about Z τµ Events / 2 GeV τ e µ s = 8 TeV N = 2 jets h τµ m ϕ = 5 GeV m ϕ = 1 GeV m ϕ = 15 GeV m ϕ = 2 GeV Events / 2 GeV µ τ h s = 8 TeV N = 2 jets h τµ m ϕ = 5 GeV m ϕ = 1 GeV m ϕ = 15 GeV m ϕ = 2 GeV (Coll) mτµ [GeV] (Coll) mτµ [GeV] Iftah Galon - UC Irvine April 2, 217 SoCal BSM UC Riverside 17

18 Recast Results For Λ = 1 TeV: Decay m ϕ [GeV] Br Coupling h τµ Y 23 = h τµϕ c 23 = 1.4 h τµϕ c 23 = 1.7 h τµϕ c 23 = 2.1 h τµϕ c 23 = 2.7 Reasonable agreement with CMS: Y τµ = (3.7 ±.8) 1 3 Iftah Galon - UC Irvine April 2, 217 SoCal BSM UC Riverside 18

19 Model Building The model: ϕ = mediator to flavorful Dark-Sector L vis. y l ij L i HE j + h.c., L vis med. c ij Λ L i HE j ϕ + c ij Λ L i HE j ϕ + h.c.. L dark g L abϕ χ a P L χ b + g R abϕ χ a P R χ b + h.c., a, b = 1, 2. A flavor theory at Λ = 1 TeV determines all couplings Iftah Galon - UC Irvine April 2, 217 SoCal BSM UC Riverside 19

20 Model Building - Feasibility Account for both Y, c, c, and g L, g R? L EWSB vis med. v 2Λ [ li ( cij P R + c ji P L ) lj ϕ + l i ( c ij P R + c jip L ) lj ϕ ]. induces dipoles ϕ l j li l k c ijp R + c jip L c ki P R + c ikp L L dipole e 8π 2 m j l k σ µν ( c L kjp L + c R kjp R ) lj F µν Iftah Galon - UC Irvine April 2, 217 SoCal BSM UC Riverside 2

21 Constraints Flavor Violating constraints: l j l k γ l j Nuc l k Nuc l j l i l m lk l j l i l m lk ν ν Flavor Conserving constraints: a lj Other constraints: Z l j lm ϕ Z inv l j l i χ χ l 3lϕ/ϕ Z l i l i Universality FB-asymmetry Iftah Galon - UC Irvine April 2, 217 SoCal BSM UC Riverside 21

22 Symmetry Arguments SM lepton flavor symmetry Naively broken by c, c couplings Unless, U(1) e U(1) µ U(1) µ Turn on a single Off-Diagonal coupling,c µτ Then break to residual subgroup U(1) e U(1) µ τ Iftah Galon - UC Irvine April 2, 217 SoCal BSM UC Riverside 22

23 Symmetry Arguments Now ϕ has charge 2: Suppressed CLFV transitions Still contribute to flavor diagonal observables. Can we build a Froggatt-Nielsen realization? Non-trivial, need y, c µτ + Symmetry Structure Iftah Galon - UC Irvine April 2, 217 SoCal BSM UC Riverside 23

24 Froggatt-Nielsen 11 U(1) flavor symmetry = higher-dim op s = Flavorful couplings α ij O(1) L vis. α ij Li HE j ( S or S M ) n Y ij. S - complex is a scalar SM-signlet, [S] Q = 1 n Y ij = [ L i ] Q + [E j ] Q + [H] Q, { n Y ij > S nij Y < S λ = S M Then.2 (Cabibo angle) Y l ij = α ij λ ny ij Iftah Galon - UC Irvine April 2, 217 SoCal BSM UC Riverside 24

25 Froggatt-Nielsen 11 + New Scalar If ϕ is light we can also expect L med. β ij L i HE j ( S or S leading to M ) n c ij ϕ Λ + β ij L i HE j ( S or S M ) n c ij ϕ Λ with L vis med. c ij Λ L i HE j ϕ + c ij Λ L i HE j ϕ c ij λ nc ij, c ij λ nc ij. Similarly, χ ϕ interactions can be generated and chosen to be dominant. Iftah Galon - UC Irvine April 2, 217 SoCal BSM UC Riverside 25

26 The Model [ L 1 ] Q = (7, 1), [E 1 ] Q = ( 7, 7), [ L 2 ] Q = ( 6, 2), [E 2 ] Q = (6, 3), [ L 3 ] Q = ( 2, 4), [E 3 ] Q = (1, 6), [H] Q = (, ), [ϕ] Q = (5, 4). These are consistent with the lepton mass eigenvalues {m e, m µ, m τ } v 2 {λ 8, λ 5, λ 3 }, λ 9 λ 18 λ 1 c λ λ 8 1, λ 5 λ 14 λ 6 λ 17 λ 1 λ 14 c λ λ 6 λ 14. λ 17 λ 4 λ 12 Iftah Galon - UC Irvine April 2, 217 SoCal BSM UC Riverside 26

27 Flavor Checklist LFV Process Present Bound Our Model Radiative Decays Br(µ + e + γ) [?] Br(τ ± e ± γ) [?] Br(τ ± µ ± γ) [?] µ e Conversion in Nuclei Γ(µ e) Au /Γ capture Au at 9% CL [?] Body Decays Br(µ + e + e + e ) [?] D Br(τ µ µ + µ ) [?] T Br(τ e e + e ) [?] D Br(τ e µ + µ ) [?] { T Br(τ µ e + e ) [?] D T Br(τ e + µ µ ) [?] T Br(τ µ + e e ) [?] T Muon g 2 a µ 288(8) 1 11 [?] Iftah Galon - UC Irvine April 2, 217 SoCal BSM UC Riverside 27

28 (g 2) µ The anomalous magnetic moment we express as a µ = m j 16π 2 1 dx(1 x) 2 xm µ c m τ 2Re{c 23 c32}, xmϕ 2 + (1 x)mi 2 x(1 x)mj 2 2. cμτ Br(h τμϕ )=2% 1%.5% a μ explained (95% CL) - Destructive. a μ explained (95% CL) - Constructive..1%.1% m φ [GeV] Iftah Galon - UC Irvine April 2, 217 SoCal BSM UC Riverside 28

29 Conclusions If indeed NP accounts for the excess in h τµ it may teach us about the origins of the SM flavor structure. Alternatively, the excess could be explained by systematics associated with missing-energy (or statistical as the 13 TeV may show) Interestingly, an O(1 GeV) scalar with τ µ couplings can account for the (g 2) µ anomaly. Future Directions: τ and searches for missing energy Iftah Galon - UC Irvine April 2, 217 SoCal BSM UC Riverside 29

30 Backup Slides Iftah Galon - UC Irvine April 2, 217 SoCal BSM UC Riverside 3

31 (g 2) µ The anomalous magnetic moment we express as a lj = m j 16π 2 where i 1 dx(1 x) 2 xm j S (j) i + m i P (j) i, xmϕ 2 + (1 x)mi 2 x(1 x)mj 2 S (j) i = v 2 2Λ 2 ( c ij c ij + c ij c ij + c jic ji + c ji c ji), P (j) i = v 2 2Λ 2 ( c ji c ij + c ijc ji + c ij c ji + c jic ij). Iftah Galon - UC Irvine April 2, 217 SoCal BSM UC Riverside 31

32 The Model - Flavor Basis The flavor dependent couplings in the flavor-basis are λ 8 λ 15 λ 15 Y l λ λ 5 λ 9, λ 12 λ 11 λ 3 λ 9 λ 24 λ 16 c λ λ 14 1, λ 5 λ 2 λ 6 λ 17 λ 1 λ 14 c λ λ 6 λ 18. λ 21 λ 4 λ 12 generate the rotation matrices 1 λ 1 λ 12 1 λ 13 λ 9 V LL λ 1 λ 6, V ER λ 1 λ 8 λ 12 λ 6 1 λ 9 λ 8 1 Iftah Galon - UC Irvine April 2, 217 SoCal BSM UC Riverside 32