Dipion light-cone distribution amplitudes and 
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 form factors

Cheng, Shan

doi:10.1103/physrevd.99.053005

Cited by 6 publications

(4 citation statements)

References 87 publications

(116 reference statements)

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“…It is easy to see the overwhelming role of f 0 , while the contributions from f 0 and f 0 account only ∼ 5%. The result at the full recoiled energy q 2 F (l=0) t (1, 0)/m B s = 54.0 +4.0 −7.0 is much larger than the result for S−wave B → ππ form factors obtained in the LCSRs with 2π DAs [98][99][100], with the asymptotic prediction q 2 F (l=0) t,asy (4m 2 π , 0)/m B = 5.40 ± 1.00, this discrepancy is explained by the strong threshold effect of f 0 in thē B s → K K decay.…”

Section: Numericscontrasting

confidence: 61%

$$\bar{B}_s \rightarrow f_0(980)$$ form factors and the width effect from light-cone sum rules

Cheng

Shen

2020

Eur. Phys. J. C

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In this paper we calculate theB s → f 0 (980) form factors from light-cone sum rules with B meson DAs. With adopting the quark-antiquark configuration of light scalar mesons, the high twist two-particle and the threeparticle contributions are found to be ∼ 25% individual, and totally they give about 50% correction to certain form factors in the considered energy regions. We further explore the lightcone sum rules approach to study the S−waveB s → K K form factors, the f 0 + f 0 + f 0 resonance model is proposed and the result shows that the background effect from f 0 + f 0 accounts ∼ 5%. As a by-product, we extract the strong coupling |g f 0 K K | = 1.08 +0.05 −0.14 GeV with taking thē B s → f 0 (980) form factors calculated previous under the narrow width approximation.

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Section: Numericscontrasting

confidence: 61%

$$\bar{B}_s \rightarrow f_0(980)$$ form factors and the width effect from light-cone sum rules

Cheng

Shen

2020

Eur. Phys. J. C

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“…In the literature, similar B → ππ form factors in B → πππ decays have been studied extensively [24][25][26][27][28][29][30]. In the kinematic regime where the dipion state has a large energy and a low invariant mass,B 0 → π þ π 0 form factors have been studied using QCD light-cone sum rules with B-meson distribution amplitudes [28][29][30]. The interference of ρð770Þ with the excited ρ resonances such as ρð1450Þ and ρð1750Þ are regarded as effective "nonresonant" contributions.…”

Section: B Nonresonant Contributionsmentioning

confidence: 99%

Branching fractions and CP violation in B−→K+K−π−

Cheng

Chua

2020

Phys. Rev. D

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We present in this work a study of tree-dominated charmless three-body decays of B mesons, B − → K þ K − π − and B − → π þ π − π − , within the factorization approach. The main results are: (i) There are two distinct sources of nonresonant contributions: one arises from the b → u tree transition and the other from the nonresonant matrix element of scalar densities hM 1 M 2 jq 1 q 2 j0i NR. It turns out that even for treedominated three-body decays, dominant nonresonant contributions originate from the penguin diagram rather than from the b → u tree process, as implied by the large nonresonant component observed recently in the π − K þ system which accounts for one third of the B − → K þ K − π − rate. (ii) The calculated branching fraction of B − → f 2 ð1270Þπ − → K þ K − π − is smaller than the LHCb by a factor of ∼7 in its central value, but the predicted BðB − → f 2 ð1270Þπ − → π þ π − π − Þ is consistent with the data. Branching fractions of B − → f 2 ð1270Þπ − extracted from the LHCb measurements of these two processes also differ by a factor of seven! Therefore, it is likely that the f 2 ð1270Þ contribution to B − → K þ K − π − is largely overestimated experimentally. Including 1=m b power corrections from penguin annihilation inferred from QCD factorization (QCDF), a sizable CP asymmetry of 25% in the f 2 ð1270Þ component agrees with experiment. (iii) A fraction of 5% for the ρð1450Þ component in B − → π þ π − π − is in accordance with the theoretical expectation. However, a large fraction of 30% in B − → K þ K − π − is entirely unexpected. This issue needs to be clarified in the future. (iv) We study final-state ππ ↔ KK rescattering and find that the rescattering contributions to both B − → K þ K − π − and B − → π þ π − π − seem to be overestimated experimentally by a factor 4. (v) Using the QCDF expression for the B − → σ=f 0 ð500Þπ − amplitude to study the decay B − → σπ − → π þ π − π − , the resultant branching fraction and CP violation of 15% agree with experiment. (vi) CP asymmetry for the dominant quasi-two-body decay mode B − → ρ 0 π − was found by the LHCb to be consistent with zero in all three S-wave models. In the QCDF approach, 1=m b power corrections, namely, penguin annihilation and hard spectator interactions contribute destructively to A CP ðB − → ρ 0 π − Þ to render it consistent with zero. (vii) A significant CP asymmetry has been seen in the ρ 0 ð770Þ region for positive-and negative-helicity angle cosines. Considering the low π þ π − invariant mass region of the B þ → π þ π þ π − Dalitz plot of CP asymmetries divided into four zones, the pattern of CP violation in each zone is well described by the interference between ρð770Þ and σð500Þ as well as the nonresonant background.

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“…Therefore, nonperturbative wave functions include two-meson light-cone distributions, which contain both resonant and nonresoant contributions. For instance, the measurement of by LHCb [5] indicates that the resonances , of the S-wave -pair are dominant, which is confirmed by the theoretical calculation in the framework of PQCD [42][43][44][45][46][47]. In this work, we focus on and include the contributions.…”

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confidence: 61%

S-wave contributions to in the perturbative QCD framework *

Xing

2019

Chinese Phys. C

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is induced by the / transitions, which can interfere if a CP-eigenstate is formed. The interference contribution is sensitive to the CKM angle . In this work, we study the S-wave contributions to the process in the perturbative QCD factorization. In the factorization framework, we adopt two-meson light-cone distribution amplitudes, whose normalization is parametrized by the S-wave time-like two-pion form factor with resonance contributions from , . We find that the branching ratio of is of the order of , and that significant interference exists in . Future measurement could not only provide useful constraints on the CKM angle , but would also be helpful for exploring the multi-body decay mechanism of heavy mesons.

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Dipion light-cone distribution amplitudes and B→ππ form factors

Cited by 6 publications

References 87 publications

$$\bar{B}_s \rightarrow f_0(980)$$ form factors and the width effect from light-cone sum rules

$$\bar{B}_s \rightarrow f_0(980)$$ form factors and the width effect from light-cone sum rules

Branching fractions and CP violation in B−→K+K−π−

S-wave contributions to in the perturbative QCD framework *

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