New uncertainties in QCD--QED rescaling factors

using quadrature method

MAHADEV PATGIRI1,* and N NIMAI SINGH2,3

1Department of Physics, Cotton College, Guwahati 781 001, India

2Department of Physics, Gauhati University, Guwahati 781 014, India

3The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy

*Corresponding author. E-mail: mahadev@scientist.com; nimai03@yahoo.com

Abstract. In this paper we briefly outline the quadrature method

for estimating uncertainties in

a function which depends on several variables, and apply it to estimate the numerical

uncertainties in QCD--QED rescaling factors. We employ here the

one-loop order in QED and three-loop

order in QCD evolution equations of the fermion mass renormalisation.

Our present calculation is found to be new and also reliable when

compared to the earlier values employed by various authors.

Keywords. Fermion mass renormalisation; quadrature method;

uncertainties; QCD-- QED rescaling factors.

PACS Nos 12.20.-m; 12.20.Ds; 12.38.-t