The nucleon self-energy is calculated in SU(2) covariant chiral perturbation theory to study the pion mass dependence of the nucleon mass up to chiral order $\mathcal{O}(q^6)$, i.e., including two-loop diagrams.
Applying an algorithm proposed by Tarasov, the contributions of the diagrams are expressed by a small set of (scalar) master integrals.
These master integrals are evaluated by means of the chiral expansion in $d$ dimensions, using the strategy of regions to differentiate between the infrared singular and regular part.
The extended on-mass-shell renormalization scheme is applied, making the renormalized expressions consistent with the power counting.
Two-loop calculation of the nucleon self-energy
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Pre-published on:
February 07, 2024
Published on:
March 07, 2024
Abstract
DOI: https://doi.org/10.22323/1.413.0074
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Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.