Contribution of the interference of the O7–O8 for the decay B → Xsγγ

Rare decays of B-mesons allow investigations of physics outside of the SM. For B→ X_s γγ potential new physics should be clearly visible not only for the width of the decay, but also in the differential distributions with respect to the parameters (s₁, s₂ ) , defined as s_i=(p_b - q_i )² / m_b² , (i = 1, 2), where p_b, q₁, q₂ are the momenta of the b-quark and the two photons. In the paper the contribution of order αs of the interference of the operators O₇ -O₈ was calculated. We also consider the dependency of the results from the mass of the s-quark by changing m_s in the range 400–600 MeV. The contribution of the interference of the operators O₇ -O₈ in the width of the decay B →X_s γγ in the regions of the phase space considered by us is equal to 2–3%