A new method that automatically regularizes scattering amplitudes

Abstract

Abstract We present a new regularization procedure called autoregularization.
The new procedure regularizes the divergences, encountered previously 
in a scattering process, using the intrinsic scale of the process. We use 
autoregularization to calculate the amplitudes of several scattering processes 
in QED and compare the calculations with experimental measurements over a 
broad range of center-of-momentum energies (~ MeV to > 200 GeV). The 
calculated amplitudes are found to be in good agreement with experimental data. 
To test autoregularization in a non-Abelian gauge theory, we calculate the 
QCD coupling constant at 1-loop and show that, like the known regularization
schemes, autoregularization also predicts asymptotic freedom in QCD.
Finally, we show that the vacuum energy density of the free fields in the 
Standard Model, calculated using autoregularization, is smaller than the
current estimate of the cosmic critical density.