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Gronau, Michael; Zupan, Jure

doi:10.1103/physrevd.71.074017

Cited by 74 publications

(86 citation statements)

References 71 publications

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“…While, in [106], the authors found that B 0 → ρ 0 π 0 process could receive large contributions from the heavy-meson B * and B 0 backgrounds. Since the isospin-violating effect is visible in the e + e − → π + π − data at s = m 2 ω [110], the ρ 0 -ω mixing need to be taken into studies [105,[111][112][113][114][115]. We leave the gap between the data in [91] and the PQCD prediction B = (0.11 +0.07 −0.03 ) × 10 −6 to the future studies.…”

Section: Numerical Results and Discussionmentioning

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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Section: Numerical Results and Discussionmentioning

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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“…The isospin analysis allows to resolve α up to an eight-fold ambiguity within [0, π]. The isospinbreaking effects have been estimated in [24,25] and are smaller than the current precision on α. Neglecting the electroweak penguin in B → ππ amounts to a shift of α by −2.1 • [7].…”

Section: Ut Angle αmentioning

confidence: 99%

“…With more statistics, many assumptions (Q2B approximation, Breit-wigner shape, large-finite ρ width, non-resonant background, isospin-breaking effects, etc.) will need a closer look [37] in the extraction of B → ρπ (B → ρρ) from the dynamics of B → 3π (B → 4π) final states.…”

Section: Combined Analysismentioning

confidence: 99%

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CKM Fits: What the Data Say (Focused on B Physics)

T’Jampens

2007

Nuclear Physics B - Proceedings Supplements

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An up-to-date profile of the Cabibbo-Kobayashi-Maskawa matrix is given with emphasis on the interpretation of recent results on CP violation from the B factories. We provide a review of the relevant experimental and theoretical inputs from the contributing domains of the electroweak interaction. We give numerical and graphical constraints on the CKM parameters and predictions of related physical observables. We discuss the impact of what the data actually say on model-independent studies of new physics. The Unitary-exact Wolfenstein Parametrization and Rephasing-invariant QuantitiesThe Standard Model (SM) of electroweak interactions describes CP violation in weak interactions as a consequence of a single non-vanishing complex phase in the three-generation Cabibbo-Kobayashi-Maskawa (CKM) quark-mixing matrix [1,2]. The CKM matrix V has four quantities which are fundamental constants. These may be parametrized in a variety of ways. The standard parametrization, proposed by Chau-Keung [3] and advocated by the Particle Data Group [4], uses three mixing angles θ 12 , θ 23 , θ 13 and one CP-odd phase δ 13 which generates CP violation. The fact that there is only one independent CP-violating parameter in the electroweak sector means that this is a very predictive and testable model. Following the observation of a hierarchy between different matrix elements, Wolfenstein [5] proposed an expansion of the CKM matrix in terms of four parameters, A, λ, ρ and η (λ being the expansion parameter). Defining [6] λ ≡ sin θ 12 , Aλ 2 ≡ sin θ 13 and Aλ 3 (ρ + iη) ≡ sin θ 13 e −iδ13 to all orders in λ (i.e., these expressions are exact by definition; they are not corrected by terms of higher order in λ) ensures a unitary-exact Wolfenstein parametrization. Moreover, physically meaningful quantities must be rephasing-invariant quantities. Such invariants are the moduli, |V ij |, and the quadri-products, V ij V kl V * il V * jk . The Wolfenstein parameters, being physical quantities, must be phase-convention invariant:. ρ and η with ρ + iη = V * ub /(Aλ 3 ) are not phaseconvention invariant, in contrast to ρ + iη [7]. The results given in this paper use the unitary-exact Wolfenstein parametrization and rephasing-invariant quantities. λ is determined from |V ud | (superallowed nuclear transitions) and |V us | (semileptonic kaon decays) to a combined precision of 0.5%. A is determined from |V cb | (inclusive and exclusive semileptonic B decays) to a combined precision of about 2%. While λ and A are well-known, the parameters ρ and η are much more uncertain (about 20% for ρ and 7% for η). The main goal of CP-violation experiments is to over-constrain these parameters by measuring both the three angles and the sides of the unitarity triangle (UT) and, possibly, to find inconsistencies suggesting the existence of physics beyond the SM. What is important is thus the capability of the CKM mechanism to describe flavor dynamics of many constraints from vastly different scales and not the measurement of the CKM phase's value per se. CKM Metrology:...

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“…The most stringent constraint from data on such contamination uses SU(3) and the measured branching fractions of the decays B 0 → η ′ η, B 0 → ηπ 0 , B 0 → η ′ π 0 [5,12,13]. Recently it has also been suggested [16,17] that B 0 → η ′ π 0 and B 0 → ηπ 0 can be used to constrain the contribution from isospin-breaking effects on the value of sin2α in B → π + π − decays.…”

mentioning

confidence: 99%

Isospin-breaking effects onαextracted inB→ππ,ρρ,ρ

Cited by 74 publications

References 71 publications

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

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

CKM Fits: What the Data Say (Focused on B Physics)

Observation ofB+→ηρ+and search forB0decays toη
Aubert¹,
Bóna²,
Karyotakis³
et al. 2008
Phys. Rev. D
11
0
0
0
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Isospin-breaking effects onαextracted inB→ππ,ρρ,ρ

Cited by 74 publications

References 71 publications

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

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

CKM Fits: What the Data Say (Focused on B Physics)

Observation ofB+→ηρ+and search forB0decays toηAubert1, Bóna2, Karyotakis3 et al. 2008Phys. Rev. D11000View full textAdd to dashboardCite

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Observation ofB+→ηρ+and search forB0decays toη
Aubert¹,
Bóna²,
Karyotakis³
et al. 2008
Phys. Rev. D
11
0
0
0
View full text Add to dashboard Cite