PoS(2008LHC)080. Implications of β s measurements

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1 Implicatin f β meaurement INFN, Sez. di Rma, P.le A. Mr, 5, I-185 Rme, Italy luca.ilvetrini@rma1.infn.it We preent an update f the analyi f mixing by the UTfit Cllabratin, including the very recent tagged analye f J/Ψ by the CDF and DØ cllabratin. We find that the phae f the mixing amplitude deviate mre than 2.9σ frm the Standard Mdel predictin. Thi reult pint t extenin f the Standard Mdel with new urce f CP vilatin. We cmpare thi reult with the analyi f B d mixing and hw that preent data favur the preence f a new urce f flavur vilatin. PS(28LHC)8 Phyic at LHC September - Octber 4, 28 Split, Cratia Speaker. Member f the UTfit Cllabratin. c Cpyright wned by the authr() under the term f the Creative Cmmn Attributin-NnCmmercial-ShareAlike Licence.

2 Implicatin f β meaurement SM /A NP A C B C B NP Figure 1: Frm left t right and frm tp t bttm, 68% (dark) and 95% (light) prbability regin in the B C B and A NP NP plane and p.d.f fr C B and B. PS(28LHC)8 Within the Standard Mdel (SM), CP vilatin in mixing i very well predicted and mall, the phae f the mixing amplitude being predicted a in2β =.37 ±.2 1. (1) The reult abve i al valid in extenin f the SM with Minimal Flavur Vilatin (MFV). Even allwing fr the preence f arbitrary New Phyic (NP) in all ectr, the SM cntributin t the phae f the mixing amplitude i till tightly cntrained: in2β =.41 ±.4 1. (2) Thu, berving a mixing phae ignificantly different frm the value in eq. (2) wuld be a very clean ignal f NP in mixing. The UTfit Cllabratin ha recently reprted evidence f a mixing phae much larger than expected in the SM, with a ignificance f mre than 3σ 1. Thi reult wa btained by 2

3 Implicatin f β meaurement 68% Prb. 95% Prb. B (-19 ± 8) (-69 ± 7) 6,-5-83,-54 C B.94 ±.19.63,1.43 A SL ± ,.1 A µµ SL ± ,-.5 Γ /Γ (.13 ±.6) (-.12 ±.5).2, ,-.2 Table 1: Fit reult fr NP parameter, emileptnic aymmetrie and width difference. Whenever preent, we lit the tw lutin due t the ambiguity f the meaurement. The firt line crrepnd t the ne cler t the SM. cmbining all available experimental infrmatin with the methd ued by the UTfit Cllabratin fr UT analye and decribed in Ref. 2. We preent here an update f thi analyi, including the very recent data preented at the ummer cnference. We refer the reader t Ref. 1 fr the detail f the analyi. We perfrm a mdel-independent tudy f NP cntributin t mixing uing the fllwing parametrizatin 3: C B e 2i B = ASM e 2iβ + A NP e A SM 2i( NP β ) e 2iβ = H full eff H SM eff, (3) where Heff full i the effective Hamiltnian generated by bth SM and NP, while Heff SM nly cntain SM cntributin. We ue the fllwing experimental input: the CDF meaurement f m 4, the emileptnic aymmetry in decay A SL 5, the dimun charge aymmetry Aµµ SL frm DØ 6 and CDF 7, the meaurement f the lifetime frm flavur-pecific final tate 8, the tw-dimeninal likelihd rati fr Γ and = 2(β B ) frm the time-dependent tagged angular analyi f J/ψ decay by CDF 9 and DO 1. The value fr input parameter can be fund in Ref. 1, except fr A SL fr which we ue the new value frm DØ A SL =.2 ±.119 and fr the tagged analyi by DØ, fr which we ue the new analyi perfrmed with n aumptin n the trng phae. The reult f ur analyi are ummarized in Table 1. The phae B deviate frm zer at 99.6% prbability, equivalent t 2.9σ. In Fig. 1 we preent the tw-dimeninal 68% and 95% prbability regin fr the NP parameter C B and B and the ne-dimeninal ditributin fr NP parameter. Ntice that the ambiguity f the tagged analyi f J/Ψ i lightly brken by the preence f the CKM-ubleading term in the exprein f Γ 12 /M 12 (ee fr example eq. (5) f ref. 11). The lutin arund B 2 crrepnd t NP 5 and A NP 75% (ee Fig. 1. The ecnd lutin i much mre ditant frm the SM and it require a dminant NP cntributin (A NP 19%). In thi cae the NP phae i thu very well determined. The trng phae ambiguity affect the ign f c and thu A NP c NP, while A NP in NP.74 in any cae. T illutrate the impact f the experimental cntraint, we hw in Fig. 2 the p.d.f. fr B btained with variu ubet f experimental cntraint. Including nly the CDF tagged analyi, we btain B = ( 25±11) ( 63±11) ( 83, 5 at 95% prbability). The SM value B = PS(28LHC)8 3

4 Implicatin f β meaurement Figure 2: Frm left t right and frm tp t bttm, p.d.f. fr B withut the tagged analyi f J/Ψ, including nly the CDF analyi, including nly the DØ analyi, including nly the tagged analyi f J/Ψ frm bth experiment. We hw 68% (dark) and 95% (light) prbability regin. PS(28LHC)8 i nly preent in the 98% prbability range (2.4σ). Uing nly the DØ tagged analyi, we get B = ( 14 ± 1) ( 75 ± 1) ( 99, 52 38,1 at 95% prbability), and the SM i included in the 81% prbability range (1.3σ). Uing bth analye, we btain B = ( 19 ± 8) ( 7 ± 7) ( 84, 54 36, 4 at 95% prbability), and the SM i included in the 99% prbability range (2.6σ). Semileptnic aymmetrie alne give B = ( 45 ± 42) ( 124,33 at 95% prbability). We tre that the different cntraint in Fig. 2 are all cnitent amng themelve and with the cmbined reult. Fr cmpletene, in Table 1 we al qute the fit reult fr A SL, Aµµ SL and fr Γ /Γ. It i remarkable that t explain the reult btained fr, new urce f CP vilatin beynd the CKM phae are required, trngly difavuring the MFV hypthei. Thee new phae will in general prduce crrelated effect in B = 2 prcee and in b decay. Thee crrelatin cannt be tudied in a mdel-independent way, but it will be intereting t analye them in the 4

5 Implicatin f β meaurement MSSM. Befre ding, we cmment n the hierarchy in NP cntributin t F = 2 tranitin required by preent data. Frm ref. 12 we learn that the NP cntributin t B d mixing cannt exceed 4% f the SM ne if NP carrie a phae arund 13 a required by mixing. Thi i marginally cmpatible with the NP amplitude arund 7% f the SM a btained abve. Thu, /ANP λ c, where λ c i the Cabibb angle, rather than O(1) a expected in mdel f Next-t-Minimal Flavur vilatin, in which NP cntributin enjy the ame Cabibb upprein a SM ne. We cnclude that the NP cauing the berved deviatin in Φ B mut have a nntrivial flavur tructure t uppre NP cntributin t B d and K mixing mre than what expected frm a SM-like Cabibb tructure. It i a pleaure t thank all the UTfit Cllabratin member fr a mt enjyable cllabratin. We acknwledge partial upprt frm RTN Eurpean cntract MRTN-CT The Quet fr Unificatin, MRTN-CT FLAVIAnet and MRTN-CT Heptl. L.S. i aciated t the Dipartiment di Fiica, Univerità di Rma La Sapienza. if NP i preent in mixing, we mut have A NP d Reference A SM 1 M. Bna et al. UTfit Cllabratin, arxiv: hep-ph. /A SM d 2 M. Ciuchini et al., JHEP 17, 13 (21) arxiv:hep-ph/ J. M. Sare and L. Wlfentein, Phy. Rev. D 47, 121 (1993); T. Gt, N. Kitazawa, Y. Okada and M. Tanaka, Phy. Rev. D 53, 6662 (1996) arxiv:hep-ph/956311; N. G. Dehpande, B. Dutta and S. Oh, Phy. Rev. Lett. 77, 4499 (1996) arxiv:hep-ph/968231; J. P. Silva and L. Wlfentein, Phy. Rev. D 55, 5331 (1997) arxiv:hep-ph/96128; A. G. Chen et al., Phy. Rev. Lett. 78, 23 (1997) arxiv:hep-ph/961252; Y. Grman, Y. Nir and M. P. Wrah, Phy. Lett. B 47, 37 (1997) arxiv:hep-ph/ A. Abulencia et al. CDF Cllabratin, Phy. Rev. Lett. 97, 2423 (26) arxiv:hep-ex/ V. M. Abazv et al. DØ Cllabratin, Phy. Rev. Lett. 98, (27) arxiv:hep-ex/ V. M. Abazv et al. DØ Cllabratin, Phy. Rev. D 74, 921 (26) arxiv:hep-ex/ CDF Cllabratin, CDF nte D. Bukulic et al. ALEPH Cllabratin, Phy. Lett. B 377, 25 (1996); F. Abe et al. CDF Cllabratin, Phy. Rev. D 59, 324 (1999) arxiv:hep-ex/9883; P. Abreu et al. DELPHI Cllabratin, Eur. Phy. J. C 16, 555 (2) arxiv:hep-ex/1777; K. Ackertaff et al. OPAL Cllabratin, Phy. Lett. B 426, 161 (1998) arxiv:hep-ex/9822; V. M. Abazv et al. DØ Cllabratin, Phy. Rev. Lett. 97, (26) arxiv:hep-ex/6446; CDF Cllabratin, CDF nte 7386; CDF Cllabratin, CDF nte 7757; E. Barberi et al. HFAG, arxiv:hep-ex/633; CDF Cllabratin, CDF nte T. Aaltnen et al. CDF Cllabratin, arxiv: hep-ex. 1 V. M. Abazv et al. DØ Cllabratin, arxiv: hep-ex. 11 M. Bna et al. UTfit Cllabratin, Phy. Rev. Lett. 97, (26) arxiv:hep-ph/ M. Bna et al. UTfit Cllabratin, JHEP 83 (28) 49 arxiv: hep-ph. PS(28LHC)8 5