出版社:SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要:The B-meson light-cone distribution amplitude (LCDA) is defined as the matrix element of a
quark-antiquark bilocal light-cone operator in the heavy-quark effective theory (HQET) and is
a building block of QCD factorization formula for exclusive B-meson decays. When the corresponding
bilocal HQET operator has a light-like distance t between the quark and antiquark fields,
the scale » 1=t separates the UV and IR regions, which induce the cusp singularity in radiative
corrections and the mixing of multiparticle states in nonperturbative corrections, respectively. We
treat the bilocal HQET operator based on the operator product expansion (OPE), disentangling
the singularities from the IR and UV regions systematically. The matching at the next-to-leading
order as is performed in the MS scheme with a complete set of local operators of dimension
d · 5, through a manifestly gauge-invariant calculation organizing all contributions in the coordinate
space. The result exhibits the Wilson coefficients with Sudakov-type double logarithms and
the higher-dimensional operators with additional gluons. This OPE yields the B-meson LCDA
for t less than » 1 GeV¡1, in terms of L¯ = mB¡mb and the two additional HQET parameters as
matrix elements of dimension-5 operators. The impact of these novel HQET parameters on the
integral relevant to exclusive B decays, lB, is also discussed.