Speaker
Nils Dirk Conrad
(I)
Description
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 all two-loop diagrams.
Applying an algorithm from Tarasov (1997), the mathematical expressions of the diagrams were expressed by a small set of (scalar) master integrals.
These master integrals are solved as a chiral expansion in $d$ dimensions, using the strategy of regions to differentiate the infrared singular and regular part.
Extended on-mass-shell renormalization is applied, making the renormalized expressions consistent with the power counting.
Primary author
Nils Dirk Conrad
(I)
