Johan Bijnens, Alexey A. Vladimirov (Lund)
Leading logarithms for the nucleon mass


Within the heavy baryon chiral perturbation theory approach, we have studied the leading logarithm behaviour of the nucleon mass up to four-loop order exactly and we present some results up to six-loop order as well as an all-order 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 lowest-order pion mass. A side result is the leading divergence for a general heavy baryon loop integral.

LU TP 14-35