| Issue |
EPJ Web Conf.
Volume 303, 2024
The 16th International Conference on Meson-Nucleon Physics and the Structure of the Nucleon (MENU 2023)
|
|
|---|---|---|
| Article Number | 02001 | |
| Number of page(s) | 6 | |
| Section | Low-Energy Nucleon Structure | |
| DOI | https://doi.org/10.1051/epjconf/202430302001 | |
| Published online | 25 September 2024 | |
https://doi.org/10.1051/epjconf/202430302001
Nucleon Self-Energy Including Two-Loop Contributions
Ruhr University Bochum, Institute of Theoretical Physics II, D-44780 Bochum, Germany
* e-mail: nils.conrad@ruhr-uni-bochum.de
** e-mail: ashot.gasparyan@ruhr-uni-bochum.de
*** e-mail: evgeny.epelbaum@ruhr-uni-bochum.de
Published online: 25 September 2024
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 O(q6), i.e., including two-loop diagrams. The contributions of the diagrams are expressed by a small set of (scalar) master integrals. The extended-on-mass-shell (EOMS) renormalization scheme is applied by systematically subtracting infrared regular parts of the integrals (besides the divergences) to ensure that the renormalized results are consistent with the power counting. The master integrals are evaluated in two ways: Firstly, they are calculated by means of the chiral expansion in d dimensions, using the strategy of regions to differentiate between the infrared singular and regular part. This yields the physical nucleon mass in a 1/m-expansion and is in agreement with the infrared-renormalized result. Secondly, the master integrals are solved numerically without relying on the 1/m-expansion using the sector decomposition method.
© The Authors, published by EDP Sciences, 2024
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