A first computation of three-loop master integrals for the production of two off-shell vector bosons with different masses

Abstract

We present analytic results on physical kinematics for four integral families that are relevant to the production of two off-shell vector bosons with different masses. Our study consists of a ladder-box, a tennis-court, and two reducible ladder-box-like families. The results for the master integrals of these families are expressed up to order six in the dimensional regulator in terms of real-valued multiple polylogarithms. Furthermore, a semi-numeric solution is provided, employing generalized power series expansions using the package DiffExp.

Comments: 33 pages, 52 figures, 4 tables, 2 appendices. Riformulated paragraph after eq. (3.10). Added missing citations in section 3. Replaced "topology" with "sector" in Appendix B. Ancillary files can be downloaded from https://zenodo.org/records/14284044. v3 is the version published in JHEP