Project Summary: SUPER_QUANTA aims to enhance analytical computations in Quantum Field Theories (QFTs), studying interactions among quarks, gluons, and their superpartners. It focuses on models which are forerunners to supersymmetric extensions of the Standard Model and provides mechanisms for new Beyond-the-Standard-Model Physics.
In four-dimensional N=1 Supersymmetric Yang-Mills (SYM) theories, SUPER_QUANTA will investigate the "current" supermultiplet, consisting of the Noether Supercurrent operator, the axial current, and the Energy-Momentum tensor, using improved discretizations and stout smearing on the lattice. Advanced perturbative methods will be employed to disentangle operator mixing due to quantum corrections. Furthermore, the project will utilize a coordinate-space Gauge-Invariant Renormalization Scheme (GIRS) to explore Green's functions of Noether currents within the Wess-Zumino gauge.
In addition, the project aims to determine all fine-tunings and counterterms on the lattice using the overlap fermion action to simulate specific Supersymmetric (SUSY) models, including Supersymmetric QCD. This will facilitate quantitative investigations of phase structures, transitions, chiral symmetry, and SUSY violation phenomena on the lattice. To this end, several two-, three-, and four-point Green's functions must be computed at one-loop order; from these Green's functions, the renormalization of all fields, masses, and couplings on the lattice will be determined.
Lastly, the project will develop user-friendly software to improve multi-loop Feynman diagram calculations on the lattice, incorporating Graph Theory and chirally invariant lattice actions. This project will also adapt a compression tool to reduce the storage space of data coming from the calculation of Feynman diagrams, as well as simulation data.

Details:

Programme	EXCELLENCE HUBS
Proposal Number	EXCELLENCE/0524/0208
Proposal Acronym	SUPER_QUANTA
Funding	The project is implemented under the programme of social cohesion “THALIA 2021- 2027” co-funded by the European Union, through Research and Innovation Foundation.