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arXiv · 1409.6127

Leading logarithms for the nucleon mass

Johan Bijnens·Alexey A. Vladimirov
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Abstract

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 $m^{2n+1}\log^{(n-1)}(μ^2/m^2)$ and $m^{2n+2}\log^n(μ^2/m^2)$, with $m$ the lowest-order pion mass. A side result is the leading divergence for a general heavy baryon loop integral.

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Johan Bijnens, Alexey A. Vladimirov. 2015-01-09. Leading logarithms for the nucleon mass. https://doi.org/10.1016/j.nuclphysb.2014.12.015

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