The Two Loop Long Range Effect on the Proton Decay Effective Lagrangian

Abstract

We calculate the two loop long range effect on the proton decay effective Lagrangian. Numerical calculation for suppression factor gives $A_L($2-loop$)=0.321$ for the value of the strong coupling constant ${\alpha }_s(m_Z)=0.116$. Two loop effect to more general effective Lagrangian is also given.

Comments: 11 pages, 1 figures(uuencoded postscript file)