Heavy quark expansion for heavy-light light-cone operators

Abstract

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.

6 pages. Results slightly modified, references updated. Published in Physical Review D

References in corpus (7)

• Exploring hadrons' partonic structure using ab initio lattice QCD calculations
• The three-loop cusp anomalous dimension in QCD
• Modelling light-cone distribution amplitudes from non-relativistic bound states
• Two-loop evolution equation for the B-meson distribution amplitude
• Relativistic corrections to light-cone distribution amplitudes of S-wave $B_c$ mesons and heavy quarkonia
• Two-loop evolution equations for light-ray operators
• Two-loop evolution equations for flavor-singlet light-ray operators

Cited by in corpus (6)

• $B$-meson light-cone distribution amplitude from the Euclidean quantity
• $B$-meson Ioffe-time distribution amplitude at short distances
• 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