Relativistic and Binding Energy Corrections to Direct Photon Production In Upsilon Decay

Abstract

A systematic gauge-invariant method is used to calculate the rate for an upsilon meson to decay inclusively into a prompt photon. An expansion is made in the quark relative velocity v, which is a small natural parameter for heavy quark systems. Inclusion of these O(v^2) corrections tends to increase the photon rate in the middle z range and to lower it for larger z, a feature supported by the data.

Comments: 13 pages, LateX, One figure (to be published in Phys. Rev. D, Sept. 1, 1996)