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Matching QCD and heavy-quark effective theory heavy-light currents at two loops and beyond

Matching QCD and heavy-quark effective theory heavy-light currents at two loops and beyond

Heavy-light QCD currents are matched with heavy-quark effective theory (HQET) currents at two loops and leading order in 1/m. A single formula applies to all current matchings. As a by-product, a master formula for the two-loop anomalous dimension of the QCD current q\ifmmode\bar\else\textasciimacron\fi{}${\ensuremath{\gamma}}_{1}^{[\mathrm{\ensuremath{\mu}}}$...${\ensuremath{\gamma}}_{\mathit{n}]}^{\mathrm{\ensuremath{\mu}}}$q is obtained, yielding a new result for …