Two-Loop Matrix Element of the Current-Current Operator in the Decay B -> X_s gamma

Abstract

We evaluate the important two-loop matrix element <s gamma| Q_2 | b> of the operator (cbar gamma^mu P_L b) (sbar gamma_mu P_L b) contributing to the inclusive radiative decay B -> X_s gamma. The calculation is performed in the NDR scheme, by means of asymptotic expansions method. The result is given as a series in z = m_c^2/m_b^2 up to O(z^6). We confirm the result of Greub, Hurth and Wyler obtained by a different method up to 0(z^3). Higher-order terms are found to be numerically insignificant.

18 pages, 6 figures, 1 table

References in corpus (3)

• Quark mass effects in B -> Xs gamma
• Combining the Muon Anomalous Magnetic Moment with other Constraints on the CMSSM
• Expansion of bound-state energies in powers of m/M

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