The 39th International Symposium on Lattice Field Theory (Lattice 2022)

Aug 8 – 13, 2022
Hörsaalzentrum Poppelsdorf
Europe/Berlin timezone

Noether supercurrent operator mixing from lattice perturbation theory

Aug 8, 2022, 3:00 PM
20m
CP1-HSZ/Ground-0.001 - HS3 (CP1-HSZ)

CP1-HSZ/Ground-0.001 - HS3

CP1-HSZ

50
Oral Presentation Particle physics beyond the Standard Model

Speaker

Dr Marios Costa (University of Cyprus)

Description

In this work we present perturbative results for the renormalization of the supercurrent operator, $S_\mu$, in ${\cal{N}}=1$ Supersymmetric Yang-Mills theory. At the quantum level, this operator mixes with both gauge invariant and noninvariant operators, which have the same global transformation properties. In total, there are 13 linearly independent mixing operators of the same and lower dimensionality. We determine, via lattice perturbation theory, the first two rows of the mixing matrix, which refer to the renormalizations of $S_\mu$, and of the gauge invariant mixing operator, $T_\mu$. To extract these mixing coefficients in the $\overline{MS}$ renormalization scheme and at one-loop order, we compute the relevant two-point and three-point Green’s functions of $S_\mu$ and $T_\mu$ in two regularizations: dimensional and lattice. On the lattice, we employ the plaquette gluonic action and for the gluinos we use the fermionic Wilson action with clover improvement.

Primary authors

Dr Georg Bergner Dr Marios Costa (University of Cyprus) Prof. Haralambos Panagopoulos (University of Cyprus) Ivan Soler (University of Jena) Gregoris Spanoudes (The Cyprus Institute)