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Multiple Mellin-Barnes integrals with straight contours

Banik, S and Friot, S (2023) Multiple Mellin-Barnes integrals with straight contours. In: Physical Review D, 107 (1).

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Official URL: https://doi.org/10.1103/PhysRevD.107.016007


We show how the conic hull method, recently developed for the analytic and noniterative evaluation of multifold Mellin-Barnes (MB) integrals, can be extended to the case where these integrals have straight contours of integration parallel to the imaginary axes in the complex planes of the integration variables. MB integrals of this class appear, for instance, when one computes the ϵ-expansion of dimensionally regularized Feynman integrals, as a result of the application of one of the two main strategies (called A and B in the literature) used to resolve the singularities in ϵ of MB representations. We upgrade the Mathematica package MBConicHulls.wl which can now be used to obtain multivariable series representations of multifold MB integrals with arbitrary straight contours, providing an efficient tool for the automatic computation of such integrals. This new feature of the package is presented, along with an example of application by calculating the ϵ-expansion of the dimensionally regularized massless one-loop pentagon integral in general kinematics and D=4-2ϵ. © 2023 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.

Item Type: Journal Article
Publication: Physical Review D
Publisher: American Physical Society
Additional Information: The copyright for this article belongs to the Authors.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 10 Feb 2023 08:20
Last Modified: 10 Feb 2023 08:20
URI: https://eprints.iisc.ac.in/id/eprint/80145

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