A study of Feynman integrals with uniform transcendental weights and the symbology from dual conformal symmetry
arXiv:2206.04609 · doi:10.1007/JHEP10(2022)165
Abstract
Multi-loop Feynman integrals are key objects for the high-order correction computations in high energy phenomenology. These integrals with multiple scales, may have complicated symbol structures. We show that the dual conformal symmetry sheds light on the alphabet and symbol structures of multi-loop Feynman integrals. In this paper, first, as a cutting-edge example, we derive the two-loop four-external-mass Feynman integrals with uniform transcendental (UT) weights, based on the latest developments on UT integrals. Then we show that all the symbol letters can be nicely obtained from those of closely-related dual conformal integrals, by sending a dual point to infinity. Certain properties of the symbol such as first two entries and extended Steinmann relations are also studied from analogous properties of dual conformal integrals.
minor changes, more references added
References in corpus (9)
- Classical Polylogarithms for Amplitudes and Wilson Loops
- Conformal properties of four-gluon planar amplitudes and Wilson loops
- Lectures on differential equations for Feynman integrals
- Scattering amplitudes over finite fields and multivariate functional reconstruction
- Bootstrapping a Five-Loop Amplitude Using Steinmann Relations
- Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)
- Reducing differential equations for multiloop master integrals
- Cluster algebras for Feynman integrals
- A first look at the function space for planar two-loop six-particle Feynman integrals