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Title Inverse moment of $B$-meson quasi distribution amplitude
Authors Ji Xu,Xi-Ruo Zhang,Shuai Zhao
JLAB number JLAB-THY-22-3569
LANL number arXiv:2202.13648
Other number DOE/OR/23177-5437
Document Type(s) (Journal Article) 
Associated with EIC: No
Supported by Jefferson Lab LDRD Funding: No
Funding Source: Nuclear Physics (NP)

Compiled for arXiv
Publication Abstract: We perform a study on the structure of inverse moment of quasi distributions, by taking $B$-meson quasi distribution amplitude (quasi-DA) as an example. Based on a one-loop calculation, we find that a naive perturbative matching relation for the first inverse moments of $B$-meson light-cone distribution amplitude (LCDA) and quasi-DA failed. Contrary to the naive expectation, to restore the factorization, the mixing with logarithmic moments must be included. We also derive the renormalization group equation and velocity evolution equation for the first inverse moment of quasi-DA. 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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