Work

Feynman integral reductions by intersection theory with orthogonal bases and closed formulae

Year: 2024

Type: article

Abstract: A bstract We present a prescription for choosing orthogonal bases of differential n -forms belonging to quadratic twisted period integrals, with respect to the intersection number inner product. To evaluate these inner products, we additionally propose a new closed formula for intersection numbers beyond d log forms. These findings allow us to systematically construct orthonormal bases between twisted period integrals of this type. In the context of Feynman integrals, this represents all diagrams at one-loop.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep09(2024)018

Authors: Giulio Crisanti, Sid Smith

Institutions: University of Padua, Max Planck Institute for Physics, Istituto Nazionale di Fisica Nucleare, Sezione di Padova, University of Edinburgh

Language: English

Topic: Particle physics theoretical and experimental studies

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4402322112

FWCI: 0.864

Cites: 50

Cited by: 12

Related to: 10