U-spin breaking in CP asymmetries in B decays

Gronau, Michael

doi:10.1016/j.physletb.2013.09.056

Cited by 57 publications

(39 citation statements)

References 53 publications

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“…[10][11][12]. Typical U-spin breaking corrections are expected to be around the 30% level [30,31]. In the limit of strict U-spin symmetry, one has d = d , ϑ = ϑ and |D| = |D |.…”

Section: Determination Of γ Andmentioning

confidence: 99%

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Determination of γ and−2βsfrom charmless two-body decays of beauty mesons

collaboration¹,

Aaij²,

Beteta³

et al. 2015

Physics Letters B

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Determination of γ and −2β s from charmless two-body decays of beauty mesons .LHCb Collaboration a r t i c l e i n f o a b s t r a c tUsing the latest LHCb measurements of time-dependent CP violation in the B 0 s → K + K − decay, a U-spin relation between the decay amplitudes of B 0 s → K + K − and B 0 → π + π − decay processes allows constraints to be placed on the angle γ of the unitarity triangle and on the B 0 s mixing phase −2β s .Results from an extended approach, which uses additional inputs on B 0 → π 0 π 0 and B + → π + π 0 decays from other experiments and exploits isospin symmetry, are also presented. The dependence of the results on the maximum allowed amount of U-spin breaking is studied. At 68% probability, the value γ = (63.5 +7.2 −6.7 ) • modulo 180 • is determined. In an alternative analysis, the value −2β s = −0.12 +0.14 −0.16 rad is found. In both measurements, the uncertainties due to U-spin breaking effects up to 50% are included. decays are related by the U-spin symmetry of strong interactions. This symmetry, related to the exchange of d and s quarks in the decay diagrams, can be exploited to determine the unknown hadronic factors. A more sophisticated analysis has also been proposed [13], where it is suggested to combine the U-spin analysis of B 0 → π + π − and B 0 s → K + K − decays with the isospin analysis of B 0 → π + π − , B 0 → π 0 π 0 and B + → π + π 0 decays [14], in order to achieve a more robust determination of γ with respect to U-spin breaking effects. The B 0, can also be determined with either analysis approach. An analysis based on Bayesian statistics, aimed at determining probability density functions (PDFs) for γ and −2β s , is presented in this Letter. This uses the latest LHCb measurements of time-dependent CP violation in the B 0 s → K + K − decay, exploiting U-spin symmetry with the B 0 → π + π − decay. An extended analysis, including measurements on B 0 → π 0 π 0 and B + → π + π 0 decays from other experiments, is also performed. The Letter is organized as follows. First, the theoretical formalism needed to describe CP violation is introduced in Section 2, including the SM parameterization of the decay amplitudes of the various decays.

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“…[10][11][12]. Typical U-spin breaking corrections are expected to be around the 30% level [30,31]. In the limit of strict U-spin symmetry, one has d = d , ϑ = ϑ and |D| = |D |.…”

Section: Determination Of γ Andmentioning

confidence: 99%

“…5. Typical U-spin breaking effects, including factorizable contributions, are expected to be much smaller, around the 30% level [30,31]. With up to 50% non-factorizable U-spin breaking, the approach of Ref.…”

Section: Hfag [17]mentioning

confidence: 99%

Determination of γ and−2βsfrom charmless two-body decays of beauty mesons

collaboration¹,

Aaij²,

Beteta³

et al. 2015

Physics Letters B

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“…Invariance of CPT symmetry constrains hadron rescattering so that the sum of the partial decay widths, for all channels with the same final-state quantum numbers related by the S matrix, must be equal for charge-conjugated decays. Effects of SU(3) flavor symmetry breaking have also been investigated and partially explain the observed patterns [19,21,22].…”

Section: H Y S I C a L R E V I E W L E T T E R Smentioning

confidence: 99%

Measurement ofCPViolation in the Phase Space ofB±→K+

Aaij¹,

Adeva²,

Adinolfi³

et al. 2014

Phys. Rev. Lett.

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“…For these decay modes, both the resonant and nonresonant contributions may appear, as well as the possible significant final-state interactions (FSIs) [13][14][15]. Different frameworks have been developed for the study of the three-body hadronic B meson decays, based on the symmetry principles [16][17][18][19][20][21][22][23][24] or factorization theorems [25][26][27][28][29][30][31][32][33][34]. The QCD-improved factorization (QCDF) [31][32][33][34] has been widely used in the study of the three-body charmless hadronic B meson decays [35][36][37][38][39][40][41].…”

Section: Introductionmentioning

confidence: 99%

Quasi-two-body decays B(s)→Pρ→Pππ in the perturbative QCD approach

Xiao

et al. 2017

Phys. Rev. D

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In this work, we calculate the CP -averaged branching ratios and the direct CP -violating asymmetries of the quasi-two-body decays B (s) → P (ρ →)ππ by employing the perturbative QCD (PQCD) approach (here P stands for a light pseudoscalar meson π, K, η or η ′ ). The vector current timelike form factor Fπ, which contains the final-state interactions between the pion pair in the resonant region associated with the P -wave states ρ(770) along with the two-pion distribution amplitudes, is employed to describe the interactions between the ρ and the pion pair under the hypothesis of the conserved vector current. We found that (a) the PQCD predictions for the branching ratios and the direct CP -violating asymmetries for most considered B (s) → P (ρ →)ππ decays agree with currently available data within errors, (b) for B(B → π 0 ρ 0 → π 0 (π + π − ), the PQCD prediction is much smaller than the measured one, and (c) for the B + → π + (ρ 0 →)π + π − decay mode, there is a negative CP asymmetry (−27.5 +3.0 −3.7 )%, which agrees with other theoretical predictions but is different in sign from those reported by BABAR and LHCb Collaborations.

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U-spin breaking in CP asymmetries in B decays

Cited by 57 publications

References 53 publications

Determination of γ and−2βsfrom charmless two-body decays of beauty mesons

Determination of γ and−2βsfrom charmless two-body decays of beauty mesons

Measurement ofCPViolation in the Phase Space ofB±→K+

Quasi-two-body decays B(s)→Pρ→Pππ in the perturbative QCD approach

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