Inverse moment of the $B$-meson quasi distribution amplitude

Abstract

We perform a study on the structure of inverse moment (IM) of quasi distributions, by taking $B$-meson quasi distribution amplitude (quasi-DA) as an example. Based on a one-loop calculation, we derive the renormalization group equation and velocity evolution equation for the first IM of quasi-DA. We find that, in the large velocity limit, the first IM of $B$-meson quasi-DA can be factorized into IM as well as logarithmic moments of light-cone distribution amplitude (LCDA), accompanied by short distance coefficients. Our results can be useful either in understanding the patterns of perturbative matching in Large Momentum Effective Theory or evaluating inverse moment of $B$-meson LCDA on the lattice.

arXiv comment7 pages, 1 figure. Discussions extended. References updated. Accepted for publication in Physical Review D

References in corpus (47)

• QCD Factorization for $B\to \pi \pi$ Decays: Strong Phases and CP Violation in the Heavy Quark Limit
• QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states
• QCD factorization for B->PP and B->PV decays
• QCD Factorization in B -> pi K, pi pi Decays and Extraction of Wolfenstein Parameters
• Parton Physics on Euclidean Lattice
• Systematic approach to exclusive B ->V l^+l^-, V gamma decays
• Asymptotics of Heavy-Meson Form Factors
• Quasi-PDFs, momentum distributions and pseudo-PDFs
• Large-Momentum Effective Theory
• Exploring hadrons' partonic structure using ab initio lattice QCD calculations
• The B-Meson Distribution Amplitude in QCD
• Factorization and Endpoint Singularities in Heavy-to-Light decays
• $B\to P$ and $B\to V$ Form Factors from $B$-Meson Light-Cone Sum Rules beyond Leading Twist
• Exclusive processes in position space and the pion distribution amplitude
• Form Factors from Light-Cone Sum Rules with B-Meson Distribution Amplitudes
• A guide to light-cone PDFs from Lattice QCD: an overview of approaches, techniques and results
• Perturbative Renormalization of quasi-PDFs
• Renormalization-Group Evolution of the B-Meson Light-Cone Distribution Amplitude
• Radiative leptonic decays of B mesons in QCD
• B meson distribution amplitude from B --> γl ν
• Matching the Quasi Parton Distribution in a Momentum Subtraction Scheme
• QCD corrections to $B\to \pi$ form factors from light-cone sum rules
• Next-to-leading-order corrections to $B\to \pi$ form factors in $k_T$ factorization
• Ioffe-time distributions instead of parton momentum distributions in description of deep inelastic scattering
• More On Large-Momentum Effective Theory Approach to Parton Physics
• Moments of Ioffe time parton distribution functions from non-local matrix elements
• Factorization, the light-cone distribution amplitude of the B-meson and the radiative decay B -> gamma l nu_l
• A Hybrid Renormalization Scheme for Quasi Light-Front Correlations in Large-Momentum Effective Theory
• Precision calculations of $B\to V$ form factors in QCD
• $B\to D^{(\ast )}$ Form Factors from QCD Light-Cone Sum Rules
• Subleading-power corrections to the radiative leptonic $B\to \gamma \ell \nu$ decay in QCD
• Perturbative corrections to $B\to D$ form factors in QCD
• Quark Pseudo-Distributions at Short Distances
• B->gamma e nu Transitions from QCD Sum Rules
• Factorization and dispersion relations for radiative leptonic $B$ decay
• QCD calculations of $B\to \pi ,K$ form factors with higher-twist corrections
• $B$-meson light-cone distribution amplitude from the Euclidean quantity
• Structure of parton quasi-distributions and their moments
• Factorization in B->V gamma Decays
• Note on lattice regularization and equal-time correlators for parton distribution functions
• Theory and applications of parton pseudodistributions
• QCD factorization for the four-body leptonic $B$-meson decays
• Precision calculations of the double radiative bottom-meson decays in soft-collinear effective theory
• Quasi Distribution Amplitude of Heavy Quarkonia
• $B$-meson Ioffe-time distribution amplitude at short distances
• Heavy quark expansion for heavy-light light-cone operators
• A factorization theorem connecting the light-cone distribution amplitudes of heavy-flavor mesons in QCD and HQET

Cited by in corpus (6)

• FLAG Review 2024
• Continuum limit of parton distribution functions from the pseudo-distribution approach on the lattice
• Generalized parton distributions from the pseudo-distribution approach on the lattice
• Light Cone Distribution Amplitude for the $\Lambda$ Baryon from Lattice QCD
• Power corrections to quasi-distribution amplitudes of a heavy meson
• Matching the B-meson quasidistribution amplitude in the RI/MOM scheme