Abstract:
We give detailed results of O ( α ) QED corrections (both real emission and virtual corrections) to B → K ℓ + ℓ − modes. Requiring the real emission to be gauge invariant, the structure of the contact term(s) is fixed. The calculation is done with a fictitious photon mass as the IR regulator and results are shown to be independent of it, establishing the cancellation of the soft divergences. Results are presented for a choice of photon energy, k max , and photon angle θ cut . The QED effects are negative, thereby reducing the rate compared to that without QED effects. Electron channels are shown to receive large corrections ( O ( 20 % ) ). Impacts on lepton flavor universality ratio R μ e K are also discussed.