Contribution of the Interference of the O7–O8 for the B → Xsγγ Decay

Rare decays of B-mesons allow one the investigation of physics outside of the SM. For \(B \to {{X}_{s}}{{\gamma \gamma }}\) processes, the potential new physics should be visible not only for the width of the decay but also in the differential distributions for the parameters \(({{s}_{1}},{{s}_{2}})\), defined as \({{s}_{i}} = {{({{p}_{b}} - {{q}_{i}})}^{2}}{\text{/}}m_{b}^{2}\), (i = 1, 2), where \({{p}_{b}}\), \({{q}_{1}},{{q}_{2}}\) are the momenta of the b-quark and the two photons. In this work, the contribution of the order \({{{{\alpha }}}_{s}}\) of the interference of the operators \({{O}_{7}} - {{O}_{8}}\) was calculated. We also consider the dependence of the results from the mass of the s-quark by changing \({{m}_{s}}\) in the range of 400–600 MeV. The contribution of the interference of the operators \({{O}_{7}} - {{O}_{8}}\) into the width of the decay \(B \to {{X}_{s}}{{\gamma \gamma }}\) in the regions of the phase space considered is equal to 2–3%.