Conveners
Session 2: Morning Session 2
- Radja Boughezal
Session 2: Morning Session 4
- Lorenzo Tancredi (Technische Universitat Munchen (DE))
Session 2: Morning Session 6
- Fabrizio Arturo Caola (University of Oxford (GB))
I will introduce an algorithmic procedure to build epsilon-factorised bases of differential equations, when the corresponding master integrals cannot be expressed in terms of multiple polylogarithms.
The calculation and manipulation of large multi-variable rational functions is a key bottleneck in multi-loop calculations. In this talk I will present work using p-adic numbers to reconstruct rational functions in a compact form. I will apply this to examples such as rational functions appearing in non-planar 2-loop 5-point amplitudes.
We describe a new method for computing Feynman integrals based on solving inequality constraints. The starting point is the simple observation that a convergent Euclidean integral is non-negative if its integrand is non-negative. Combined with integration-by-parts reduction, this places powerful constraints on the values of master integrals, which can be solved efficiently using the numerical...
We present a new method for Feynman integrals reduction, which can significantly improve the computational efficiency over finite fields. We demonstrate this method by analytically reducing a three-loop four-point integral family with multiple massive lines.
