A factorization theorem connecting the light-cone distribution amplitudes of heavy-flavor mesons in QCD and HQET

Abstract

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 ${\Lambda }_{\mathrm{QCD}}$ for a hard exclusive $B$ production process, particularly to facilitate the resummation of logarithms of type $\ln Q/m_b$ and $\ln m_b/{\Lambda }_{\mathrm{QCD}}$ in a systematic fashion.

8 pages

References in corpus (6)

• Modelling light-cone distribution amplitudes from non-relativistic bound states
• Exclusive Radiative Decays of W and Z Bosons in QCD Factorization
• NRQCD Factorization for Twist-2 Light-Cone Wave-Functions of Charmonia
• Refactorizing NRQCD short-distance coefficients in exclusive quarkonium production
• $W$ radiative decay to heavy-light mesons in HQET factorization through $\mathcal{O}({\alpha }_s)$
• Optimized predictions for $W\to B_c+\gamma$ by combining light-cone and NRQCD approaches

Cited by in corpus (5)

• Power corrections to quasi-distribution amplitudes of a heavy meson
• Inverse moment of the $B$-meson quasi distribution amplitude
• Matching the B-meson quasidistribution amplitude in the RI/MOM scheme
• Probing heavy meson lightcone distribution amplitudes with heavy quark spin symmetry
• Semileptonic $W$ Decay to the $B$ Meson with Lepton Pairs in Heavy Quark Effective Theory Factorization upto $\mathcal{O}$$({\alpha }_s)$