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  • Letter
  • Open Access

Inverse moment of the B-meson quasidistribution amplitude

Ji Xu1,*, Xi-Ruo Zhang1,†, and Shuai Zhao2,3,‡

  • 1School of Physics and Microelectronics, Zhengzhou University, Zhengzhou, Henan 450001, China
  • 2Department of Physics, Old Dominion University, Norfolk, Virginia 23529, USA
  • 3Theory Center, Thomas Jefferson National Accelerator Facility, Newport News, Virginia 23606, USA

  • *Corresponding author. xuji_phy@zzu.edu.cn
  • †Corresponding author. ZXRxiruo@163.com
  • ‡Corresponding author. shzhao@jlab.org

Phys. Rev. D 106, L011503 – Published 26 July, 2022

DOI: https://doi.org/10.1103/PhysRevD.106.L011503

Abstract

We perform a study on the structure of the inverse moment (IM) of quasidistributions, by taking B-meson quasidistribution 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.

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