Pion and kaon form factors in the perturbative QCD approach

Cheng, Shan

doi:10.1103/physrevd.100.013007

Cited by 9 publications

(11 citation statements)

References 73 publications

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“…In the full amplitude G, the gauge dependence proportional to k T from the twoparton Fock state cancels with the gauge dependence associated with the three-parton Fock state, then the gauge invariant LCDAs φ defined by the approximate path of Wilson link deduces to the gauge invariance of the NLO (to all order) hard kernel H(ζ, b) [69,70]. The three-particle corrections to pion e.m. and B → π transition form factor are found at most a few percent [71][72][73]. The k T factorization and high power corrections are also surveyed in the ρ meson involved processes [74,75].…”

Section: A Factorization and Form Factorsmentioning

confidence: 98%

“…In Refs. [73,166], high power correction from pion meson DAs up to twist-four is replenished to pion e.m. and transition form factors, showing that the contribution from the three-parton Fock state is at least one order of magnitude smaller than that from the lowest Fock state, and confirming the convergence of twist expansion. The 12 GeV upgrade program at Jefferson Lab will measure more data of F π in the intermediate energy regions, providing a chance to extract the nonperturbative parameters of meson DAs, i.e., the moments in Gegenbauer polynomials expansion, with the precise PQCD predictions.…”

Section: The Key Issues and The Opportunities In The Futurementioning

confidence: 99%

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The PQCD approach towards to next-to-leading order: a short review

Cheng,

Xiao

2020

Preprint

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In this short review we elaborate the significance of resummation in k T factorization theorem, and summarize the recent progresses in the calculations of the next-to-leading order contributions to B meson decays from the perturbative QCD (PQCD) approach. We also comment on the current status of the PQCD approach and highlight some key issues to develop it in the near future for more phenomenological applications.

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Section: A Factorization and Form Factorsmentioning

confidence: 98%

Section: The Key Issues and The Opportunities In The Futurementioning

confidence: 99%

The PQCD approach towards to next-to-leading order: a short review

Cheng,

Xiao

2020

Preprint

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“…Wave function of the single pseudoscalar meson h = π, K is defined by the nonlocal matrix element [72,73], we here take π − for example,…”

Section: Framework and The (Di-)meson Wave Functionsmentioning

confidence: 99%

The role of $D_{(s)}^\ast$ and their contributions in $B_{(s)}\to D_{(s)} h h^\prime$ decays

Chai,

Cheng,

Wang

2021

Preprint

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We demonstrate the roles of D * (s) and their contributions in the quasi-two-body decays B (s) → D (s) hh (h, h = {π, K}) in the perturbative QCD approach, stemming from the quark flavour changing b → c q 2 q1 and b → c q1 q2 with q 1 , q 2 = {s/d, u}. The main motivation of this study is the measurements of significant derivations from the simple phase-space model in the channels B (s) → D (s) hh at B factories and LHC, which is now clarified as the Breit-Wigner-tail effects from the corresponding intermediate resonant states. We confirm that these effect from D * is small (∼ 5%) in the quasi-two-body B (s) → Dππ(K) decaying channels, and predict the tiny (< 1%) contributions from D * s in the B (s) → D s Kπ(K) decaying channels, our result for the B s → DKπ(K) decaying channels contributed only from the Breit-Wigner-tail effect of D * s is in agreement with the current LHCb measurement. The hierarchy of Breit-Wigner-tail effect in different channels shown in this paper can be understood intuitively by the tail of energy dependent width distributed in the invariant mass spectral, which locates above the D (s) h threshold.

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“…One part of these NLO correlations is included in the effective Wilson coefficients, whereas the other parts provide the independent decay amplitudes for certain channels. The second type of NLO QCD corrections carries the dynamics from the scale to the hadronic scale, which are manifested by means of heavy-to-light transition form factors [55,56], the timelike form factors of final light mesons [57][58][59][60][61], Glauber effects in the hard scattering spectator and annihilation amplitudes [62][63][64], and other possible corrections that have not been studied in detail [65]. Besides the QCD correction at NLO, the sub-leading power corrections from high twist light cone distribution amplitudes (LC-DAs) were recently studied for pion form factors and the radiative leptonic decay in the PQCD approach [66][67][68].…”

Section: Introductionmentioning

confidence: 99%

“…The solutions demonstrate that the resummation effect suppresses the shape of the B meson LCDA near the endpoint [118], and the dependence on the choice of is not significant in pion meson wave functions because the joint resummation-improved pion wave function does not exhibit sizable corrections [119]. This is not accidental because the and threshold resummations have previously reshaped the end-point behaviours of meson wave functions [65]. For the sake of simplicity, we can take to eliminate the logarithm term and take a large value of at to reduce the uncertainty on the constant terms from the loop calculation in different momentum regions.…”

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confidence: 99%

Charmless two-body B meson decays in the perturbative QCD factorization approach*

Cheng

Chai

et al. 2022

Chinese Phys. C

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The perturbative QCD (PQCD) approach based on $k_T$ factorization has made a great achievement for the QCD calculation of the hadronic B decays. Regulating the endpoint divergence by the transverse momentum of quarks in the propagators, one can do the perturbation calculation for kinds of diagrams including the annihilation type diagrams. In this paper, we review the current status of PQCD factorization calculation of two-body charmless $B\to PP, PV, VV$ decays up to the next-to-leading order (NLO) QCD corrections. two new power suppressed terms in decaying amplitudes are also taken into account. By using the universal input (non-perturbative) parameters, we collected the branching ratios and ${\bf CP}$ asymmetry parameters for all the charmless two body $B$ decays, calculated in the PQCD approach up to the NLO. The results are compared with the ones from QCD factorization approach, soft-collinear effective theory approach and the current experimental measurements. For most considered B meson decays, the PQCD results for branching ratios agree well with other approaches and the experimental data. The PQCD predictions for the ${\bf CP}$ asymmetry parameters for many of the decay channels do not agree with other approaches, but have a better agreement with the experimental data. The longstanding $K \pi $ puzzle about the pattern of the direct CP asymmetries of the penguin-dominated $B \to K \pi $ decays can be understood after the inclusion of the NLO contributions in PQCD. The NLO corrections and power suppressed terms play an important role in the color suppressed and pure annihilation type $B$ decay modes. These rare decays are more sensitive to different types of corrections, providing opportunity to examine the factorization approach with the more precise experimental measurements. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Article funded by SCOAP3 and published under licence by Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Science and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd

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Pion and kaon form factors in the perturbative QCD approach

Cited by 9 publications

References 73 publications

The PQCD approach towards to next-to-leading order: a short review

The PQCD approach towards to next-to-leading order: a short review

The role of $D_{(s)}^\ast$ and their contributions in $B_{(s)}\to D_{(s)} h h^\prime$ decays

Charmless two-body B meson decays in the perturbative QCD factorization approach*

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