Nucleon Self-Energy Including Two-Loop Contributions

被引：2

作者：

Conrad, Nils D. ^{[1
]}

Gasparyan, Ashot M. ^{[1
]}

Epelbaum, Evgeny ^{[1
]}

机构：

[1] Ruhr Univ Bochum, Inst Theoret Phys 2, D-44780 Bochum, Germany

来源：

16TH INTERNATIONAL CONFERENCE ON MESON-NUCLEON PHYSICS AND THE STRUCTURE OF THE NUCLEON, MENU 2023 | 2024年 / 303卷

关键词：

CHIRAL PERTURBATION-THEORY; FEYNMAN-INTEGRALS;

D O I：

10.1051/epjconf/202430302001

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

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(q(6)), 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.

引用

页数：6

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