26 July 2026 to 1 August 2026
University of Maryland, College Park
US/Eastern timezone

A Software Package for Multiloop Feynman Diagram Calculations on the Lattice

Not scheduled
20m
University of Maryland, College Park

University of Maryland, College Park

Adele H. Stamp Student Union 3972 Campus Dr College Park, MD 20742, United States
Poster presentation Software development and machines

Speaker

Constantinos Costa (Rinnoco Ltd)

Description

We present an efficient Mathematica package for the automated calculation of multiloop Feynman diagrams in quantum field theory, supporting both lattice and dimensional regularization. Perturbative computations on the lattice are substantially more complicated than their continuum counterparts due to the nontrivial momentum dependence of lattice propagators and vertices, as well as the proliferation of terms arising from improved actions. The software addresses these challenges by providing a flexible framework for symbolic generation through contractions among vertices, algebraic manipulation, and numerical evaluation of momentum integrals. The package is designed to accommodate a broad class of lattice actions and composite operators, including advanced formulations such as overlap fermions, and supports a variety of renormalization schemes, including the Gauge-Invariant Renormalization Scheme (GIRS). It is particularly well suited for applications involving renormalization, operator mixing, and conversion factors between different renormalization schemes, including those arising in $\mathcal{N}=1$ supersymmetric quantum field theories. In addition, the package includes functionality for efficient compression of large algebraic expressions, enabling users to store intermediate results and recover them for future use without loss of information. The software aims to reduce the time and human effort required for high-order perturbative work while improving reliability, flexibility, and reproducibility.

Authors

Constantinos Costa (Rinnoco Ltd) Dr Gregoris Spanoudes (University of Cyprus) Haralambos Panagopoulos (University of Cyprus) Dr Marios Costa (Cyprus University of Technology) Panos Chrysanthis (University of Pittsburgh)

Presentation materials