Calculation of Magnetic Penguin Amplitudes in B -> phi K Decays using PQCD Approach

Details Calculation of Magnetic Penguin Amplitudes in B -> phi K Decays using PQCD Approach Calculation of Magnetic Penguin Amplitudes in B -> phi K Decays using PQCD Approach

2003-05-07

arxiv.org/abs/hep-ph/0305073v2

Prog.Theor.Phys. 110 (2003) 549-561

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 3 figures, LaTeX with the PTP style, minor changes of typos

Scientific paper

10.1143/PTP.110.549

New physics contributions to B decays often arise through chromo-magnetic penguin operators. To look for new physics effects in B decays, it is useful to be able to estimate the hadronic matrix elements for the chromo-magnetic operator. We compute this contribution to B ->phi K decays using PQCD methods. It is shown that, if the Wilson coefficient of the new physics is same order of magnitude as that of the Standard Model, this operator gives a non-negligible contribution compared to that of the Standard Model (about 30%). We also investigate the value of q^2, which is the momentum transferred by the gluon in the chromo-magnetic penguin operator. We find that the expectation value is approximately M^2_B/4, in agreement with a naive guess. This result, however, is very sensitive to the scale dependence of the Wilson coefficient. We also show that the matrix element for the chromo-magnetic penguin operator is independent of the choice of energy scale to a very good approximation.

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