Light masses in short distance penguin loops

Details Light masses in short distance penguin loops Light masses in short distance penguin loops

1997-12-11

arxiv.org/abs/hep-ph/9712346v2

Phys.Lett. B437 (1998) 169-176

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 6 ps figures. Revised

Scientific paper

10.1016/S0370-2693(98)00886-7

Penguin diagrams for decays such as $b\to (s,d)\gamma$ involve virtual loops of $u$ or other light quarks. Logarithms of the virtual quark mass could, in principle, influence the phenomenological analysis of the decay. It is thus important to study these logarithms to all orders in QCD perturbation theory. In this paper we show that, at arbitrary order, the matrix elements of operators in the effective hamiltonian contributing to $b\to s\gamma$ are finite for the limit of $m_u \to 0$ in penguin loops.

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