
Johan Bijnens, Alexey A. Vladimirov (Lund)
Leading logarithms for the nucleon mass
Abstract
Within the heavy baryon chiral perturbation theory approach, we have studied the leading logarithm behaviour of the nucleon mass up to fourloop order exactly and we present some results up to sixloop order as well as an allorder conjecture. The same methods allow to calculate the main logarithm multiplying the terms with fractional powers of the quark mass. We calculate thus the coefficients of m2n+1log(n−1)(μ2/m2) and m2n+2logn(μ2/m2), with m the lowestorder pion mass. A side result is the leading divergence for a general heavy baryon loop integral.
LU TP 1435
