Ananthanarayan, B and Banik, S and Friot, S and Ghosh, S (2021) Massive one-loop conformal Feynman integrals and quadratic transformations of multiple hypergeometric series. In: Physical Review D, 103 (9).
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Abstract
The computational technique of N-fold Mellin-Barnes (MB) integrals, presented in a companion paper by the same authors, is used to derive sets of series representations of the massive one-loop conformal three-point Feynman integral in various configurations. This shows the great simplicity and efficiency of the method in nonresonant cases (generic propagator powers) as well as some of its subtleties in the resonant ones (for unit propagator powers). We confirm certain results in the physics and mathematics literature and provide many new results, some of them dealing with the more general massive one-loop conformal n-point case. In particular, we prove two recent conjectures that give the massive one-loop conformal n-point integral (for generic propagator powers) in terms of multiple hypergeometric series. We show how these conjectures, that were deduced from a Yangian bootstrap analysis, are related by a tower of new quadratic transformations in hypergeometric functions theory. Finally, we also use our MB method to identify spurious contributions that can arise in the Yangian approach. © 2021 American Physical Society. All rights reserved.
| Item Type: | Journal Article |
|---|---|
| Publication: | Physical Review D |
| Publisher: | American Physical Society |
| Additional Information: | The copyright for this article belongs to Authors |
| Department/Centre: | Division of Physical & Mathematical Sciences > Centre for High Energy Physics |
| Date Deposited: | 17 Aug 2021 11:58 |
| Last Modified: | 17 Aug 2021 11:58 |
| URI: | http://eprints.iisc.ac.in/id/eprint/69177 |
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