Manifestly dual-conformal loop integration

Bourjaily, Jacob L.; Dulat, Falko; Panzer, Erik

doi:10.1016/j.nuclphysb.2019.03.022

Title: Manifestly dual-conformal loop integration

Journal Article · Wed May 01 00:00:00 EDT 2019 · Nuclear Physics. B

DOI:https://doi.org/10.1016/j.nuclphysb.2019.03.022· OSTI ID:1547539

Bourjaily, Jacob L.; Dulat, Falko; Panzer, Erik

Local, manifestly dual-conformally invariant loop integrands are now known for all finite quantities associated with observables in planar, maximally supersymmetric Yang-Mills theory through three loops. These representations, however, are not infrared-finite term by term and therefore require regularization; and even using a regulator consistent with dual-conformal invariance, ordinary methods of loop integration would naïvely obscure this symmetry. In this work, we show how any planar loop integral through at least two loops can be systematically regulated and evaluated directly in terms of strictly finite, manifestly dual-conformal Feynman-parameter integrals. We apply these methods to the case of the two-loop ratio and remainder functions for six particles, reproducing the known results in terms of individually regulated local loop integrals, and we comment on some of the novelties that arise for this regularization scheme not previously seen at one loop.

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Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-76SF00515; DNRF91; 757978; 341344

OSTI ID:: 1547539

Alternate ID(s):: OSTI ID: 1529396

Journal Information:: Nuclear Physics. B, Journal Name: Nuclear Physics. B Vol. 942 Journal Issue: C; ISSN 0550-3213

Publisher:: ElsevierCopyright Statement

Country of Publication:: Netherlands

Language:: English

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Cited by: 20 works

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References (39)

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