First Overlap Formulation and Perturbative Results for Supersymmetric QCD

@misc{costa2026first,
  title = {{First Overlap Formulation and Perturbative Results for Supersymmetric QCD}},
  author = {Marios Costa and Elias Antoniou and Herodotos Herodotou and Eleni Ioannou and Constantinos Kartoudes and Gregoris Spanoudes and Haralambos Panagopoulos},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.07745},
  eprint = {2611.07745},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.07745},
}

TY  - UNPB
TI  - First Overlap Formulation and Perturbative Results for Supersymmetric QCD
AU  - Marios Costa
AU  - Elias Antoniou
AU  - Herodotos Herodotou
AU  - Eleni Ioannou
AU  - Constantinos Kartoudes
AU  - Gregoris Spanoudes
AU  - Haralambos Panagopoulos
PY  - 2026
DA  - 2026/11/05
PB  - arXiv
DO  - 10.48550/arxiv.2611.07745
UR  - https://arxiv.org/abs/2611.07745
AB  - We present a lattice formulation of N=1 supersymmetric QCD (SQCD) based on overlap fermions, providing a discretization consistent with the Ginsparg-Wilson relation. Particular emphasis is placed on the construction of Yukawa terms that preserve a lattice-modified chiral symmetry involving overlap quarks and gluinos. To realize this modified chiral symmetry in the Yukawa sector, we follow Lüscher's strategy and introduce auxiliary Dirac and Majorana fermionic fields for the quark and gluino fields, respectively. After functional integration over these auxiliary fields, ultralocal interaction terms arise as additional contributions to the lattice action. Within this framework, and using the Wilson gauge action for gluons, we also carry out one-loop perturbative calculations. In particular, we compute the self-energies of the quark, gluon, gluino, and squark fields in the presence of quark and squark masses, enabling an unambiguous determination of the corresponding field and mass counterterms on the lattice. This work provides a robust foundation for future perturbative determinations of the fine-tunings of the gauge, Yukawa, and quartic couplings, and already shows, as expected, a reduction in the number of required counterterms relative to Wilson-type fermions.
ER  -