Further investigations into the graph theory of phi(4)-periods and the c(2) invariant

Hu S, Schnetz O, Shaw J, Yeats K (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Annales de l'Institut Henri Poincaré D European Mathematical Society (EMS)

Book Volume: 9

Pages Range: 473-524

Journal Issue: 3

DOI: 10.4171/AIHPD/123

Abstract

A Feynman period is a particular residue of a scalar Feynman integral which is both physically and number theoretically interesting. Two ways in which the graph theory of the underlying Feynman graph can illuminate the Feynman period are via graph operations which are period invariant and other graph quantities which predict aspects of the Feynman period, one notable example is known as the c(2) invariant. We give results and computations in both these directions, proving a new period identity and computing its consequences up to 11 loops in phi(4)-theory, proving a c(2) invariant identity, and giving the results of a computational investigation of c(2) invariants at 11 loops.

Authors with CRIS profile

Oliver Schnetz Lehrstuhl für Mathematik (Algebra und Geometrie)

Involved external institutions

University of British Columbia CA Canada (CA) University of Waterloo (UW) CA Canada (CA)

How to cite

APA:

Hu, S., Schnetz, O., Shaw, J., & Yeats, K. (2022). Further investigations into the graph theory of phi(4)-periods and the c(2) invariant. Annales de l'Institut Henri Poincaré D, 9(3), 473-524. https://dx.doi.org/10.4171/AIHPD/123

MLA:

Hu, Simone, et al. "Further investigations into the graph theory of phi(4)-periods and the c(2) invariant." Annales de l'Institut Henri Poincaré D 9.3 (2022): 473-524.

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