Outline: Introduction: The LHC flavour anomalies

Transcription

1 Andreas Crivellin Lepton Flavour Universality Violation in decays and New Physics Supported by a Marie Curie Intra-European Fellowship of the European Community's 7th Framework Programme under contract number (PIEF-GA ).

2 Outline: Introduction: The LHC flavour anomalies 2HDM with gauged quarks K h τµ * µ + µ µ µ L -L µ τ K Ke e φµ + µ s + + and vector-like τ µµµ 2HDM and 3HDM with gauged horizontal charged (no vector-like quarks) Conclusions 2

3 The LHC flavour anomalies 3

4 2-3 σ deviation from the SM mostly in C5 2.6 σ deviation from the theoretically rather clean SM expectation for R(K). 3.1 σ in Contribution to C µµ but not gives simultaneously 9 a good fit 4.3 σ better than SM Explanation: Leptoquarks e.g. G. Hiller, M.Schmaltz, Extra dimensions µµ φµ µ See talks of David Straub and Joaquim Matias C ee 9 ( ) K, and R K s * s φµµ C. Niehoff, P. Stangl, D. Straub, arxiv: Flavour non-universal Z W. Altmannshofer, et al

5 h τµ 2.4 σ difference from zero ( ) 0.37 r[ h µτ ] = 0.89 % CMS-PAS-HIG Can be explained in the effective field theory approach by Q fi eφ =l fφeiφ φ R. Harnik, J. Kopp, and J. Zupan, G. lankenburg, J. Ellis, and G. Isidori, S. Davidson and P. Verdier, No dominant contribution from vector-like fermions A. Falkowski, D. M. Straub, and A. Vicente, Extended Higgs sector A. Dery, et. al M. D. Campos, et. al., A. Celis, et. al., D. Aristizabal Sierra and A. Vicente, C.-J. Lee and J. Tandean, J. Heeck, et. al.,

6 2HDM with vector-quarks Explaining K*µµ, Kµµ/ Kee and h τµ in a two-higgs-doublet model with gauged L µ -L τ PRL, arxiv:

7 Gauged L -L µ τ Vectorial U(1) gauge group: Q(e) = 0, Q(µ) = 1, Q(τ) = -1 Anomaly free Good zero order approximation to the PMNS matrix: M ν maximal atmospheric and X. He, G. C. et al., Phys.Rev. D43, 22 (1991). R. Foot, Mod.Phys.Lett. A6, 527 (1991). vanishing reactor neutrino mixing angle X 0 0 = 0 0 Y 0 Y 0 P. inetruy, et al., hep-ph/ N. F. ell and R. R. Volkas, hep-ph/ S. Choubey and W. Rodejohann, hep-ph/ J. Heeck and W. Rodejohann, reaking necessary for a realistic neutrino sector Z µ, τ µ, τ 7

8 Gauged L L µ τ µ ig ' lf γ Z µ li ( L R ) µ ig γ d Γ P + Γ P d Z f fi L fi R i The Model W. Altmannshofer, S. Gori, M. Pospelov, and I. Yavin, : Z boson with Vector-like quarks charged under m Q Qɶ + m Dɶ D + m Uɶ U + Q L R D L R U L R Effective Z quark couplings v v Γ (Y Y ), Γ (Y Y ) 2 2 dr Φ D D* dl Φ Q Q* ij 2 i j ij 2 i j 2mD 2mQ µ fi h.c. L L µ τ P. Langacker, , A. J. uras, F. De Fazio, and J. Girrbach, Z µ, τ µ, τ b d Γ23 Z 8 s

9 2 nd Doublet breaks Two Higgs doublets Q L µ Yukawa couplings L L ( Ψ 2 ) = 0 ( ) τ l u d Y l f Yi fiψ2ei l3ψ1e2 Qf Yfi Ψ2ui Q f Yfi Ψ 2di + h.c.. δ ξ τµ Q L µ L τ Ψ 1 = 2 Flavour changing SM-like Higgs coupling Γ h τµ m cos( α β ) τ P µ h θ τ P µ h v cos( β )sin( β ) 0 τ 0 R R R Lepton flavour violating Z couplings cos 2θ R sin 2θ R µ g Z ( µ, τ ) γ ν P sin 2 cos 2 R θr θ R τ ɶ L -L µ τ J. Heeck, M. Holthausen, W. Rodejohann and Y. Shimizu, v sinθr ξ cos β 2 sinθ 0 L m τµ τ 9

10 b s d Γ23 b sµµ Z C Γ g m Z µµ dl µ µ m 2 D b s d Γ23 M M s mixing 12 SM 12 ( dl ) 2 23 Γ Z g d Γ23 m b s 2 2 Z allowed regions 10

11 h µτ ψ 0 h 2 and τ µµµ τ ψ 0 H 1 Z µ µ τ µ µ h γγ etc. h ττ h µτ ( tanβ = 50) h µτ ( tanβ = 10) 11

12 τ µµµ and h µτ excluded allowed by h τµ allowed by τ µµµ 12

13 Horizontal charges Andreas Crivellin, Giancarlo D Ambrosio and Julian Heeck Adressing the LHC flavour anomalies with horizontal gauge symmetries (arxiv: ) 13

14 Charge assignment Avoid vector-like quarks by assigning charges to baryons as well same mechanism in the quark and lepton sector Use L L µ τ in the lepton sector good symmetry for the PMNS matrix effect in but not First two quark generations must have the same charges because the large Cabibbo angle would lead to huge effect in Kaon mixing Anomaly free C µµ 9 ( ) = (,, 2 ) Q a a a C ee 9 14

15 F=2: Z contribution R R q K m = m = K SM K q SM q 15

16 LHC limits ATLAS C µµ 9 & s s a = 1 / 2 allowed 16

17 3HDM Same effect in τ µµµ h µτ provided that the mixing among the doublets is small excluded allowed by h τµ allowed by τ µµµ 17

18 Conclusions The LHC found four anomalies in the flavour sector h τµ K * µ + µ Kµ µ Ke e φµ µ s All three anomalies can be explained in a model with gauged L -L µ τ 2HDM with vector-like quarks 3HDM with gauged flavour dependent -L charges Relation to LFUV in tauonic decays? 18

19 F=2: Higgs contributions m = 300 GeV, C = 1.3 µµ H 9 ma m A ma = 350 GeV = 300 GeV = 250 GeV 19

20 Allowed 2σ regions from: (superimposed) b sγ τν K µν / π µν s Dτν µ µ D LHC + Tension from * τν Type-II 2HDM D * τν 20

21 D ( * ) τν in the 2HDM III D ( * ) τν and Dτν can be explained simultaneously 0 0 using. Check model via H, A tc ε u 32 Allowed regions from: Dτν * D τν 21