Complete Computation of All Three-Loop Five-Point Massless Planar Integrals.

Authors

Dmitry Chicherin, Yu Wu, Zihao Wu, Yongqun Xu, Shun-Qing Zhang, Yang Zhang

Published in

Physical review letters. Volume 137. Issue 11. Pages 111603. Sep 11, 2026.

Abstract

We calculate all three-loop, five-point, massless planar Feynman integral families in the dimensional regularization scheme. This is a new milestone in Feynman integral computations. The analysis covers four distinct families of Feynman integrals for this configuration, for all of which we derive the canonical differential equations. Our results also confirm a prediction on the three-loop five-point alphabet. The boundary values are analytically determined. These differential equations offer a promising route toward efficient high-precision evaluation of the integrals. Our work establishes the foundation for next-to-next-to-next-to-leading-order calculations of the production of three massless final states, as well as corresponding bootstrap studies in gauge theories.

PMID:
42789894
Bibliographic data and abstract were imported from PubMed on 26 Sep 2026.

Read full publication at:
Please sign in to see all details.

Stats

1-terrible, 9-excellent. How would you rate this publication? Sign in in to submit your rating.

Post a comment

You need to be signed in to post comments. You can sign in here.

Comments

There are no comments yet.