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

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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18 pages, 6 figures, 1 table

Scientific paper

10.1016/S0550-3213(01)00336-4

We evaluate the important two-loop matrix element 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.

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