The leading twist light-cone distribution amplitudes for the S-wave and P-wave Bc mesons

Xu, Jun; Yang, Deshan

doi:10.1007/jhep07(2016)098

Cited by 10 publications

(14 citation statements)

References 46 publications

(60 reference statements)

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“…[33,[36][37][38], and the relations between the moments of LCDAs for heavy quarkonia and NRQCD matrix elements are known [39][40][41][42]. However, the factorization is only discussed at leading order of the velocity expansion v. In fact, the relativistic corrections are also important for the calculation of LCDAs of quarkonium and B c meson.…”

Section: Jhep12(2017)012mentioning

confidence: 99%

“…[33,[36][37][38], where all of the LCDAs of quarkonia or B c mesons can be factorized into products of perturbatively calculable distribution parts and non-perturbative NRQCD matrix elements. It means that, at the operator level, we have the generic matching equation 8) where n denotes the order of v-expansion, d Γ n (x, µ) is the short-distance coefficient as a distribution over the momentum fraction x, O NRQCD Γ,n is the NRQCD operator which scales O(v n ) in the power-counting, and scale M ≡ m b + m c is introduced to balance the mass dimensions of the NRQCD operators so that the short-distance coefficients d Γ n (x, µ) are set to be dimensionless.…”

Section: Re-factorization Of the Lcdasmentioning

confidence: 99%

“…[38]. The explicit expressions ofφ (0,1) (x) which are the main results of this work will be presented in the next section.…”

Section: Jhep12(2017)012mentioning

confidence: 99%

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Relativistic corrections to light-cone distribution amplitudes of S-wave Bc mesons and heavy quarkonia

Wang

Yang

et al. 2017

J. High Energ. Phys.

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In collinear factorization, light-cone distribution amplitudes (LCDAs) are key ingredients to calculate the production rate of a hadron in high energy exclusive processes. For a doubly-heavy meson system (such as B c , J/ψ, Υ etc), the LCDAs contain perturbative scales that can be integrated out and then are re-factorized into products of perturbatively calculable distribution parts and non-relativistic QCD matrix elements. In this re-factorization scheme, the LCDAs are known at next-to-leading order in the strong coupling constant α s and at leading order in the velocity expansion. In this work, we calculate the O(v 2 ) corrections to twist-2 LCDAs of S-wave B c mesons. These results are applicable to heavy quarkonia like η c,b , J/ψ and Υ by setting m b = m c . We apply these relativistically corrected LCDAs to study their inverse moments and a few Gegenbauer moments which are important for phenomenological study. We point out that the relativistic corrections are sizable, and comparable with the next-to-leading order radiative corrections. These results for LCDAs are useful in future theoretical analyses of the productions of heavy quarkonia and B c mesons.

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Section: Jhep12(2017)012mentioning

confidence: 99%

Section: Re-factorization Of the Lcdasmentioning

confidence: 99%

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Relativistic corrections to light-cone distribution amplitudes of S-wave Bc mesons and heavy quarkonia

Wang

Yang

et al. 2017

J. High Energ. Phys.

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“…(16), we have (18) where the last term is the same as the one-loop correction of decay constant. By eliminating this term one will arrive at the result for LCDA, which was firstly calculated by Bell and Feldmann [19] and later further explored in NRQCD re-factorization approach [35,36].…”

Section: One-loop Correction To Qcd Operatormentioning

confidence: 99%

Heavy quark expansion for heavy-light light-cone operators

Zhao

2020

Phys. Rev. D

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We generalize the celebrated heavy quark expansion to nonlocal QCD operators. By taking nonlocal heavy-light current on the light-cone as an example, we confirm that the collinear singularities are common between QCD operator and the corresponding operator in heavy quark effective theory (HQET), at the leading power of 1/M expansion. Based on a perturbative calculation in operator form at one-loop level, a factorization formula linking QCD and HQET operators is investigated and the matching coefficient is determined. The matching between QCD and HQET light-cone distribution amplitudes (LCDAs) as well as other momentum distributions of hadron can be derived as a consequence.

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“…Before proceeding, we pause to remark that the refactorization program here is in spirit analogous to the factorization of the LCDA of the doubly flavored heavy quarkonium, B c , into the nonperturbative local NRQCD matrix element multiplied with the perturbatively calculable coefficient function [24,25]. It is amusing to point out that the structure of Eq.…”

mentioning

confidence: 99%

Factorization Theorem Connecting the Light-Cone Distribution Amplitudes of Heavy-Flavor Mesons in QCD and Heavy-Quark Effective Theory

et al. 2020

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The light-cone distribution amplitude (LCDA) of a heavy-light meson defined in heavy quark effective theory (HQET) is a fundamental nonperturbative input to account for innumerable B meson exclusive decay and production processes. On the other hand, the conventional heavy-flavored meson LCDA defined in QCD also ubiquitously enters the factorization formula for hard exclusive B production processes. Inspired by the observation that these two LCDAs exhibit the identical infrared behaviors, yet differ in the ultraviolet scale of order m b or greater, we propose a novel factorization theorem for the heavy-light mesons, that the LCDA defined in QCD can be further expressed as a convolution between the LCDA in HQET and a perturbatively calculable coefficient function thanks to asymptotic freedom. This refactorization program can be invoked to fully disentangle the effects from three disparate scales Q, m b , and Λ QCD for a hard exclusive B production process, particularly to facilitate the resummation of logarithms of type ln Q=m b and ln m b =Λ QCD in a systematic fashion.

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The leading twist light-cone distribution amplitudes for the S-wave and P-wave Bc mesons

Cited by 10 publications

References 46 publications

Relativistic corrections to light-cone distribution amplitudes of S-wave Bc mesons and heavy quarkonia

Relativistic corrections to light-cone distribution amplitudes of S-wave Bc mesons and heavy quarkonia

Heavy quark expansion for heavy-light light-cone operators

Factorization Theorem Connecting the Light-Cone Distribution Amplitudes of Heavy-Flavor Mesons in QCD and Heavy-Quark Effective Theory

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