高エネルギーe^+e^-→μ^+μ^-過程への輻射補正

概要

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We have evaluated radiative corrections to the process e^+e^-→μ^+μ^- including a hard photon bremsstrahlung and a Z° effect with finite width. In this note we report the first part of our results, namely radiative corrections up to order α^3 of QED. In order that this note can be used as a manual, we set up a general frame of the calculation and compile necessary kinematics formulas extensively. Emphases are put on an analysis of QED singularity distributions in the kinemtical phase space and on the method of numerical phase space integrations. Numerical integrations are done by an adaptive Monte Carlo integration program VEGAS. We have independently performed integrations analytically for the case when no experimental cut-off is imposed. We have seen complete agreement between analytic and numerical results. We also compared our results with existing previous ones. The second part of our results concerning various aspects of the Z° effect will be discussed in a forthcoming paper by our group.
明治大学の論文