Leading logarithms of heavy quark masses in processes with light and heavy quarks☆
Review articleOpen access

AbstractThe matrix elements of operators containing both heavy quark (Q) and light quark (q) fields can contain large logarithms of the type ln(mQ2/μ2), where μ is a typical QCD mass scale and mQ is the heavy quark mass. We outline a method for summing leading logarithms of this type. We apply it to the decay constant fM of a low lying pseudoscalar meson M with Q̄q flavor quantum numbers and predict the ratios of decay constants for mesons with different heavy flavors. We also apply it to a matrix element of a four-quark operator which is relevant for B0−B̄0 mixing.

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