Direct CP violation in $B \rightarrow \pi^{ + }\pi^{-}\pi$ : determination of $\alpha$ without discrete ambiguity

Leitner, O.; Guo, Xin-Heng; Thomas, A. W.

doi:10.1140/epjc/s2003-01332-0

Cited by 25 publications

(32 citation statements)

References 31 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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“…Charged B decays offer a large statistics sample with which to determine additional resonant or nonresonant contributions to the three-pion Dalitz plot that can affect the measurement of α. For example, the Dalitz plot analysis of B ± → π ± π ± π ∓ allows one to check for effects from B ± → ω(782)π ± , that could cause large direct CP violation due to ρ-ω mixing [13]. It is particularly important to limit the possible effects of broad scalar structures [including the so-called f 0 (600) or σ] and nonresonant contributions [14,15,16,17,18,19].…”

Section: Introductionmentioning

confidence: 99%

Dalitz plot analysis ofB±→π±π±π∓decays

Aubert¹,

Karyotakis²,

Lees³

et al. 2009

Phys. Rev. D

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We present a Dalitz plot analysis of charmless B ± decays to the final state π ± π ± π ∓ using a sample of (465 ± 5) × 10 6 BB pairs collected by the BABAR experiment at √ s = 10.58 GeV. We measure the branching fractions B(B ± → π ± π ± π ∓ ) = (15.2 ± 0.6 ± 1.2 ± 0.4) × 10 −6 , B(B ± → ρ 0 (770)π ± ) = (8.1 ± 0.7 ± 1.2 +0.4 −1.1 ) × 10 −6 , B(B ± → f2(1270)π ± ) = (1.57 ± 0.42 ± 0.16 +0.53−0.19 ) × 10 −6 , and B(B ± → π ± π ± π ∓ nonresonant) = (5.3 ± 0.7 ± 0.6 +1.1 −0.5 ) × 10 −6 , where the uncertainties are statistical, systematic, and model-dependent, respectively. Measurements of branching fractions for the modes B ± → ρ 0 (1450)π ± and B ± → f0(1370)π ± are also presented. We observe no significant direct CP asymmetries for the above modes, and there is no evidence for the decays B ± → f0(980)π ± , B ± → χc0π ± , or B ± → χc2π ± .PACS numbers: 13.25. Hw, 12.15.Hh, 11.30.Er INTRODUCTIONDecays of B mesons to three-body charmless final states probe the properties of the weak interaction through their dependence on the complex quark couplings described in the Cabibbo-Kobayashi-Maskawa (CKM) matrix [1,2]. Furthermore, these decays test dynamical models for hadronic B decays.One can measure direct CP asymmetries and constrain magnitudes and phases of the CKM matrix elements using individual channels that appear as intermediate resonances in the B ± → π ± π ± π ∓ decay. For example, the CKM angle γ could be extracted from the interference between the decay B ± → χ c0 π ± , which has no CPviolating phase (in the standard parametrization), and other modes such as B ± → ρ 0 (770)π ± [3,4,5,6,7,8].Studies of B ± → π ± π ± π ∓ can also be useful for a precise measurement of the CKM angle α. A theoretically clean determination of this angle can be obtained from the decay-time dependence of the interference between [11,12]). Charged B decays offer a large statistics sample with which to determine additional resonant or nonresonant contributions to the three-pion Dalitz plot that can affect the measurement of α. For example, the Dalitz plot analysis of B ± → π ± π ± π ∓ allows one to check for effects from B ± → ω(782)π ± , that could cause large direct CP violation due to ρ-ω mixing [13]. It is particularly important to limit the possible effects of broad scalar structures [including the so-called f 0 (600) or σ] and nonresonant contributions [14,15,16,17,18,19].Furthermore, a number of unexplained structures have been observed in charmless B decays to Kππ [20,21,22,23,24,25], KKπ [26,27], and KKK [23,28,29] final states. Verifying the presence of these structures in B± → π ± π ± π ∓ decays would help to determine their nature and involvement in hadronic B decays.In this paper we present an amplitude analysis of GeV. An additional total integrated luminosity of 44 fb −1 was recorded 40 MeV below the Υ (4S) resonance ("off-peak" data) and was used to study backgrounds. Compared to our previous publication [32], in addition to doubling the data sample we have included several improvements in reconstruction algorithms t...

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“…(17) and (18) compared with the case of single ρ-ω interference [28][29][30][31][32][33][34][35][36]. From Eqs.…”

Section: The Effective Hamiltonianmentioning

confidence: 99%

CP violation induced by the double resonance for pure annihilation decay process in perturbative QCD

Lü

et al. 2017

Eur. Phys. J. C

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In a perturbative QCD approach we study the direct CP violation in the pure annihilation decay process ofB 0 s → π + π − π + π − induced by the ρ and ω double resonance effect. Generally, the CP violation is small in the pure annihilation type decay process. However, we find that the CP violation can be enhanced by double ρ-ω interference when the invariant masses of the π + π − pairs are in the vicinity of the ω resonance. For the decay process ofB 0+0.05+0.28+7.13 −0.15−0.31−6.11 %.

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Direct CP violation in $B \rightarrow \pi^{ + }\pi^{-}\pi$ : determination of $\alpha$ without discrete ambiguity

Cited by 25 publications

References 31 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

Dalitz plot analysis ofB±→π±π±π∓decays

CP violation induced by the double resonance for pure annihilation decay process in perturbative QCD

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