Leading Logarithms of Heavy Quark Masses in Processes with Light and Heavy Quarks

Politzer, H.David; Wise, Mark B.

doi:10.1016/0370-2693(88)90718-6

Leading Logarithms of Heavy Quark Masses in Processes with Light and Heavy Quarks

Mar 25, 1988

4 pages

Published in:

Phys.Lett.B 206 (1988) 681-684

Published: 1988

DOI:

10.1016/0370-2693(88)90718-6

Report number:

CALT-68-1486

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Abstract: (Elsevier)

The matrix elements of operators containing both heavy quark (Q) and light quark (q) fields can contain large logarithms of the type ln( m Q 2 / μ 2 ), where μ is a typical QCD mass scale and m Q is the heavy quark mass. We outline a method for summing leading logarithms of this type. We apply it to the decay constant f M 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 B 0 −B̄ 0 mixing.

heavy quark
QUARK: MASS
MASS: QUARK
QUANTUM CHROMODYNAMICS
AMPLITUDE ANALYSIS
PSEUDOSCALAR MESON: DECAY MODES
DECAY MODES: PSEUDOSCALAR MESON
B0 anti-B0: mixing
FEYNMAN GRAPH: HIGHER-ORDER
APPROXIMATION: LEADING LOGARITHM

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