On Loop Integrals Numerical Evaluation with LINE

by Francesco Tramontano (Universita di Napoli Federico II (IT))

Monday 3 Mar 2025, 14:00 → 16:00 Europe/Zurich

4/3-006 - TH Conference Room (CERN)

The future of precision experimental physics is extremely promising and requires substantial efforts to ensure that the corresponding theoretical predictions are up to the task. New concepts, alongside well-established numerical techniques, have recently been integrated to create proof-of-concept tools for the numerical evaluation of integrals involved in the calculation of radiative corrections in dimensional regularization. Some of these tools allow for the calculation of integrals at specific points in phase space, while others enable the propagation of calculations to any other point, using the method of differential equations and an initial condition. In fact, when the differential equations that govern the system of master integrals for a given problem are known, the computation at a new point becomes significantly more efficient compared to point-by-point methods. I will present LINE, a code based on the differential equations method, where we have aimed to integrate various functionalities into a single tool. Furthermore, we developed our tool in C and made it fully open-source with the goal of making its use more efficient, even on distributed computing platforms, compared to tools developed with proprietary software.

cern_3_3_25.pdf