Quark flavour observables in the flavor precision era: 331 models vs other NP scenarios

Quark flavour observables in the flavor precision era: 331 models vs other NP scenarios Fulvia De Fazio INFN- Bari Vienna, March 25th 2014 Summary Experimental results that challenge SM predicfons Anatomy of flavour observbles in 331 models deviations in angular observables in B K * µ + µ - Based on works in collaborafons with A.J. Buras, J. Girrbach P. Colangelo, P. Biancofiore Fulvia De Fazio 1

Some results for flavour observables Two scenarios 1. Vub fixed to the exclusive (smaller) value 2. Vub fixed to the inclusive (larger) value Using γ 68 : V ub in scenario 1 V ub in scenario 2 requires NP enhancing B(B τ ν τ ) no NP required for B(B τ ν τ ) reproduces the experimental value for S J/ψKs S J/ψKs higher than experiment suppresses ε K w.r.t. experiment ε K consistent with experiment ΔM s,d agree within uncertainfes, slightly preferring models predicfng a small suppression 2 Fulvia De Fazio 2

Recent results for flavour observables deviafng from SM predicfons BR(B s µ + µ - ) close to SM while BR(B d µ + µ - ) higher than its SM value (LHCb + CMS) LHCb+ CMS Bobeth et al, 1311.0903 Fulvia De Fazio 3

Bin analysis of angular observables in B K * µ + µ - deviate from SM (LHCb) Form factor (almost) independent observables: Fulvia De Fazio 4

Observables in B K * µ + µ - : LHCb results LHCB Collab. PRL 111 (2013) 191801 One measurement turns out to be discrepant Fulvia De Fazio 5

I discuss predicfons for these observables in 331 models in comparison with RS model with custodial protecfon A.J. Buras, J. Girrbach, M.V. Carlucci, FDF JHEP 1302 (2013) 023 A.J. Buras, J. Girrbach, FDF JHEP 1402 (2014) 112 P. Biancofiore, P, Colangelo, FDF 1403.2944 Fulvia De Fazio 6

331 Models: general features P. Frampton, PRL 69 (92) 2889 F. Pisano & V. Pleitez, PRD 46 (92) 410 Gauge group: SU(3) C X SU(3) L X U(1) X Spontaneously broken to SU(3) C X SU(2) L X U(1) X Spontaneously broken to SU(3) C X U(1) Q Nice features: requirement of anomaly cancelafon + asympofc freedom of QCD implies number of generafons= number of colors two quark generafons transform as triplets under SU(3) L, one as an anftriplet this may allow to understand why top mass is so large Fundamental relafon: Q T + β T + = 3 8 X Key parameter: defines the variant of the model β=±1/ 3, ± 2/ 3 lead to interesfng phenomenology for β=±1/ 3 the new gauge bosons have integer charge 7

331 Model: new parfcle content New Gauge Bosons A new heavy Z mediates tree level FCNC in the quark sector Extended Higgs sector Three SU(3) L triplets, one sextet New heavy fermions D,S,T new heavy quarks E l new heavy neutrinos (both L & R) 8

331 Models: gauge sector SU(3) L Gauge Bosons: W a a=1, 8 Charged ones: SM ones New Gauge Bosons, with charges depending on β Neutral ones: U(1) X Gauge Boson: X Fulvia De Fazio 9

331 Models: gauge sector Mixing palern among the neutral gauge bosons g SU(3) L gauge coupling constant g X U(1) X gauge coupling constant It turns out that θ W is the Weinberg angle Fulvia De Fazio 10

331 Models: Fermions Len- handed quarks SM quarks SU(3) L triplets anftriplet Corresponding right- handed quarks are singlets Len- handed leptons The choice of the third component depends on the variant of the model anftriplets Fulvia De Fazio 11

331 Models: Fermions Fulvia De Fazio 12

331 Models: quark mixing Quark mass eigenstates defined upon rotafon through two unitary matrices U L & V L In contrast to SM only one of them can be traded for VCKM, the other one enters in Z couplings to quarks 13

331 Models: Z couplings to quarks The case of B d,b s,k systems FCNC involve only len- handed quarks depend only on four new parameters: B d system only on s 13 and δ 1 B s system only on s 23 and δ 2 Specific feature of this model Not true in general! K system on s 13, s 23 and δ 2 - δ 1 stringent correlafons between observables expected M Z is fixed to 3 TeV, safsfying lower bounds from LEPII and low energy constraints 14

331 Models: Z couplings to leptons Fulvia De Fazio 15

Oases in the parameter space from ΔF=2 observables ΔM d Mass difference in the Bqd B d system S ψks CP asymmetry in B d J/ψ K s ΔM s Mass difference in the Bqs B s system S ψφ CP asymmetry in B s J/ψ φ Example of NP contribufon: The case of B d mixing Imposing the experimental constraints: One finds the allowed oases for the parameters s 13, s 23 >0 & 0<δ 23 <2π 0<δ 13 <2π 16

Oases in the parameter space from ΔF=2 observables Example for β=- 2/ 3 6 5 constraint from S ψφ d2 HradL 4 3 2 constraints from ΔM s 1 0 0.00 0.02 0.04 0.06 0.08 0.10 s é 23 Fulvia De Fazio 17

The decays B s,d µ + µ - SM effecfve hamiltonian one master funcfon Y 0 (x t ) Z contribufon modifies this funcfon to: independent on the decaying meson and on the lepton flavour SM EXP 18

The decays B s,d µ + µ - SM effecfve hamiltonian one master funcfon Y 0 (x t ) Z contribufon modifies this funcfon to: independent on the decaying meson and on the lepton flavour SM EXP 19

The decays B s,d µ + µ - SM effecfve hamiltonian one master funcfon Y 0 (x t ) Z contribufon modifies this funcfon to: independent on the decaying meson and on the lepton flavour SM EXP 20

The decay B K * µ + µ - Most relevant operators MagneFc penguin operators Semileptonic electroweak penguin operators Fulvia De Fazio 21

The decay B K * µ + µ - How large should be the NP contribufons to the relevant Wilson coefficients to explain the observed anomalies? The result depends on how many coefficients are assumed to be affected by NP W. Altmanshofer, D. Straub EPJC73 (2013) 2646 Fulvia De Fazio 22

Wilson coefficients C 9 and C 10 Fulvia De Fazio 23

Wilson coefficients C 9 and C 10 The same coupling entering in ΔY governing B s,d µ + µ - Fulvia De Fazio 24

Wilson coefficients C 9 and C 10 Requires the invesfgafon of the rafo The same coupling entering in ΔY governing B s,d µ + µ - Fulvia De Fazio 25

The rafo R 1 : e.g. invesfgafng the correlafon between the B K * µ + µ - anomalies and B s µ + µ - For β < 0 R 1 is negafve => NP contribufons to C 9 and B s µ + µ - are correlated Large negative ΔC 9 required to reproduce present data in B K * µ + µ - would imply a suppression of BR(B s µ + µ - ) as presently required by data The opposite happens for β=2/ 3 which might be considered if data change Fulvia De Fazio 26

CorrelaFon between C 9 and BR(B s µ + µ - ) Fulvia De Fazio 27

CorrelaFon between C 9 and BR(B s µ + µ - ) Fulvia De Fazio 28

C 9 Fulvia De Fazio 29

Scenario with the largest possible deviafons from SM C 9 Fulvia De Fazio 30

C 10 Fulvia De Fazio 31

C 10 Scenario with the largest possible deviafons from SM Fulvia De Fazio 32

BR(B d µ + µ - ) In this model independendently of β the large exp result for BR(B d µ + µ - ) cannot be reproduced Fulvia De Fazio 33

The B K * µ + µ - anomaly in another NP model: RS c Fulvia De Fazio 34

Main features of the RS model L. Randall, R. Sundrum, PRL83 (99) 8370 Planck (UV) brane SM (IR) brane bulk All fields propagate in the bulk, Higgs localized close to or on the IR brane possibility of solving the hierarchy problem Explaining the observed palern in fermion masses and mixing Fulvia De Fazio 35

Custodially protected RS c model Agashe et al, PLB641 (06) 62 Carena et al.,npb 759 (06) 202 Cacciapaglia et al PRD75 (07) 015003 Gauge group enlarged to SU(3) c x SU(2) L x SU(2) R x U(1) X x P L,R Implies a mirror acfon of the two SU(2) groups Benefits: Prevents large Z couplings to len- handed fermions Consitent with electroweak precision observables without large fine- tuning even for KK masses a a few TeV (LHC reach) ParFcle content: SM parfcles+ their KK excitafons New parfcles Zero modes idenffied with SM fields Boundary condifons disfnuish fields with or without a zero mode Fulvia De Fazio 36

Tree level FCNC in RS c model X= A (1) (1st KK of the γ) Z, Z H, Z (from mixing of 0- and 1- modes) G (1) (1st KK of the g) does not contribute to decays to leptons New contribufons to the Wilson coefficients Fulvia De Fazio 37

Modified Wilson coefficients in RS c model Blanke et al, JHEP 0903 (09) 108 Albrecht et al, JHEP 0909 (09) 064 Fulvia De Fazio 38

Modified Wilson coefficients in RS c model Blanke et al, JHEP 0903 (09) 108 Albrecht et al, JHEP 0909 (09) 064 Couplings to leptons Fulvia De Fazio 39

Modified Wilson coefficients in RS c model Blanke et al, JHEP 0903 (09) 108 Albrecht et al, JHEP 0909 (09) 064 Couplings to leptons Couplings to quarks Fulvia De Fazio 40

Modified Wilson coefficients in RS c model New contribufons to C 7,8 are sfll loop induced Fulvia De Fazio 41

Parameters of the RS c model KK decomposifon for each field: effecfve 4D fields 5D profiles Fermion profiles (0- mode) bulk mass Bulk mass parameters are the same for len- handed fermions of the same generafon: (u d) L (c s) L (t b) L (e ν e ) L (µ ν µ ) L (τ ν τ ) L Fulvia De Fazio 42

Parameters of the RS c model 4D Yukawa coulings: Constraints: λ u,d should reproduce quark masses CKM elements 5D Yukawa matrices quark rotafon matrices depend on the λ u,d elements Fulvia De Fazio 43

Parameters of the RS c model 4D Yukawa coulings: Constraints: λ u,d should reproduce quark masses CKM elements 5D Yukawa matrices quark rotafon matrices depend on the λ u,d elements remaining independent parameters Fulvia De Fazio 44

Results 0.1 C9 10 2 0.0 0.1 0.2 0.3 Constraints from V us and V ub Constraints from V cb and V ub Constraints from Brs 0.4 0.06 0.04 0.02 0.00 0.02 0.04 0.06 C 7 Fulvia De Fazio 45

Results 0.05 0.00 0.03 DC9 10 2-0.05-0.10-0.15-0.20 DC10 0.02 0.01 0.04-0.25 0.00 0.02-0.30-0.05-0.04-0.03-0.02-0.01 0.00-0.05-0.04-0.03-0.02-0.01 0.00 C 7 ' 0.00-0.02 0.04 DC 7 0.1 0.0 DC 7-0.04-0.05-0.04-0.03-0.02-0.01 0.00 DC 7 DC'9 0.03 0.02 0.01 DC'10-0.1-0.2-0.3 0.00-0.4-0.01-0.05-0.04-0.03-0.02-0.01 0.00-0.5-0.05-0.04-0.03-0.02-0.01 0.00 DC 7 DC 7 Largest deviafons from SM results: Fulvia De Fazio 46

Results 0.020 DC10 0.015 0.010 Linear relafon 0.005 0.000-0.0015-0.0010-0.0005 0.0000 DC 9 C 9 ( ) and C 10 ( ) essenfally depend on λ d 23 Fulvia De Fazio 47

Results SM result. Uncertainty on FF taken into account RS c result. Uncertainty reflects only the variafon of input parameters RS c result. Uncertainty reflects the variafon of input parameters & FF errors LHCb Data DeviaFons from SM results are possible Presently hidden by hadronic uncertainfes Anomalies in data cannot be explained Fulvia De Fazio 48

Results: τ in the final state No measurements available yet to test SM Fulvia De Fazio 49

More results BHBd ô m + m - L 10 10 5 4 3 2 1 ModificaFon wrt the SM: C 10 > C 10 - C 10 RS c result SM result 2.0 2.5 3.0 3.5 4.0 BHB s ô m + m - L 10 9 data In a region of the parameter space the SM result is reproduced The allowed range in RS c is larger than in SM BR in the B d case sfll lower than data Fulvia De Fazio 50

Conclusions 331 models might be in accordance with data but - Re[C 9 ] cannot be smaller than -1 - for β<0 the 1 bin -deviation in P 5 in B K * µ + µ - can be softened and BR(B s µ + µ - ) can be shifted closer to data - by no means the experimental datum for BR(B d µ + µ - ) can be reproduced RS c predicts Wilson coefficients that may deviate from SM ones DeviaFons are not enough to explain present puzzles τ modes represent interesfng cross check of SM predicfons vs NP scenarios Fulvia De Fazio 51

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