Differential equations, recurrence relations, and quadratic constraints for L-loop two-point massive tadpoles and propagators.

Abstract We consider L-loop two-point tadpole (watermelon) integral with arbitrary masses, regularized both dimensionally and analytically. We derive differential equation system and recurrence relations (shifts of dimension and denominator powers). Since the L-loop sunrise integral corresponds to t...

Full description

Bibliographic Details
Main Authors: Roman N. Lee, Andrei A. Pomeransky
Format: Article
Language:English
Published: SpringerOpen 2019-08-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP08(2019)027