Measurement of the CKM angle γ at LHCb
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1 Measurement of the CKM angle γ at LHCb A. Bertolin on behalf of the LHCb collaboration Outlook: short introduction a time-integrated γ measurement a time-dependent γ measurement the LHCb γ combination new channel to measure γ summary and future prospects A. Bertolin, INFN (Padova) 1
2 The CKM angle γ ( ϕ 3 ) the angle γ: is the least well known phase of the CKM matrix it can be determined: from tree-level decay not affected by BSM processes standard candle for BSM-sensitive measurements using indirect measurements: global CKM fit: using direct measurements: BaBar (DK -, D*K - and DK* - ): Belle (DK - and D*K - ): LHCb (more on this talk): not included in the global CKM fit PRD 87 (2013) arxiv: [hep-ex] JHEP 10 (2014) 97 need to fill the gap between the uncertainty of the direct and indirect measurements A. Bertolin, INFN (Padova) 2
3 LHCb at the LHC p beams 3
4 Time integrated γ measurement with B ± D K ± and D K 0 s h + h - JHEP 10 (2014) 097 method: γ obtained comparing the distribution of the events in the D K 0 s h + h - Dalitz plot for reconstructed B + and B - mesons, h = π, K data sample: 3.0 fb -1 ( ) D K 0 s ( π + π ) π + π long long B + B - downstream downstream m ± = m(k 0 s h ± ) total number of evts 2500 A. Bertolin, INFN (Padova) 4
5 Time integrated γ measurement with B ± D K ± and D K 0 s h + h - JHEP 10 (2014) 097 flattish dotted histo in the right plot: expectation with no CPV continuous histo: expectation with best fit values of the CPV parameters i.e. r B δ B and γ histo not identically at 0 because the B + and B measured yields are not identical final outcome: consistent and competitive with other (more mature) experiments A. Bertolin, INFN (Padova) 5
6 Time dependent γ measurement with B s D s K ± JHEP 11 (2014) 060 method: γ obtained from the study of the time-dependent decay rates of the initially produced flavor eigenstates data sample: 1.0 fb -1 (2011) Γ s, Γ s, m s : fixed from other measurements only 5 parameters: fixed from other measurements γ 2 β S week phase difference r Ds K magnitude δ strong phase difference A. Bertolin, INFN (Padova) 6
7 Time dependent γ measurement with B s D s K ± JHEP 11 (2014) 060 D S K K π D S π π π total number of evts 1800 D S K π π red: failing particle id black: passing particle id A. Bertolin, INFN (Padova) 7
8 Time dependent γ measurement with B s D s K ± JHEP 11 (2014) 060 fit the decay time distribution to extract: C f, A f, A fbar, S f and S fbar extract γ from them: -2 β S under minimal theoretical assumptions is a small correction consistent with 0 folded time dependent decay rate asymmetry: shows clearly the effect of CPV A. Bertolin, INFN (Padova) 8
9 γ combination LHCb-CONF several decay channels can be used to measure γ some are more sensitive to γ than others (large r helps) mostly due to unfavorable BRs have O(2000) events for the most sensitive ones combine them all to squeeze the uncertainty on γ h + = K + parameters of the combined fit parameters constrained using external inputs: CLEO-c, CLEO, Belle, HFAG, LHCb (for example for 2β S ) 9
10 γ combination LHCb-CONF final outcome: how to improve further: add more luminosity add new channels do both A. Bertolin, INFN (Padova) 10
11 First observation of B s D * s K ± with D * s D s γ arxiv: [hep-ex], submitted to JHEP it looks easy to replace the D s with a D s * BUT BR(D s * D s γ) 94 % BR(D s * D s π 0 ) 6 % (experimentally even worse than the former because of the 2 γ) 1 GeV total number of evts 1000 with 3.0 fb -1 and the K K π decay mode 11
12 First observation of B s D * s K ± with D * s D s γ arxiv: [hep-ex] PRL 104 (2010) so far so good next step: add this decay mode to the LHCb γ combination A. Bertolin, INFN (Padova) 12
13 Summary and future prospects competitive γ results have been reached by LHCb: high statistic, manageable backgrounds using decay modes involving also neutrals! in the present γ combination mixture of 1 and 3 fb -1 data sets update all channels to 3 fb -1 add new channels: B s D * s ( D s γ) h ± B D ( h + h - π 0, K π ± π 0 ) h arxiv: [hep-ex] stay tuned for an updated γ combination! have also B 0 s h + h - (h= π, K) data, JHEP 10 (2013) 183, that should be merged in the big picture last but not least, new pp collisions in LHC are coming closer and closer, will boost the γ accuracy LHCb-CONF A. Bertolin, INFN (Padova) 13
14 Backup slides A. Bertolin, INFN (Padova) 14
15 Time integrated γ measurement with B ± D K ± and D K 0 s h + h - A. Bertolin, INFN (Padova) 15
16 A. Bertolin, INFN (Padova) 16
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