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OPE for B-meson distribution amplitude and dimension-5 HQET operators
| Content Provider | Semantic Scholar |
|---|---|
| Author | Kawamura, Hiroyuki Tanaka, Kazuhiro |
| Copyright Year | 2009 |
| Abstract | The B-meson light-cone distribution amplitude (LCDA) is defined as the matrix element of a quark-antiquark bilocal light-cone operator in the heavyquark 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 b tween the quark and antiquark fields, the scale∼ 1/t separates the UV and IR regions, which induce the cusp singul arity in radiative corrections and the mixing of multiparticle states in nonpe rturbative corrections, respectively. We treat the bilocal HQET operator based on the operator produc t expansion (OPE), disentangling the singularities from the IR and UV regions systematically . The matching at the next-to-leading orderαs is performed in theMS scheme with a complete set of local operators of dimension d ≤ 5, through a manifestly gauge-invariant calculation organ izing 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 theB-meson LCDA for t less than∼ 1 GeV−1, in terms ofΛ̄ = mB−mb and the two additional HQET parameters as matrix elements of dimension-5 operators. The impact of the se novel HQET parameters on the integral relevant to exclusive B decays,λB, is also discussed. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/0905.2729v1.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Coefficient Cone-Rod Dystrophies Exhibits as Topic Matrix element (physics) Mesons Quark (kernel) The Matrix phosphoethanolamine pi-Mesons |
| Content Type | Text |
| Resource Type | Article |