Manifestly dual-conformal loop integration

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Manifestly dual-conformal loop integration. / Bourjaily, Jacob L.; Dulat, Falko; Panzer, Erik.

I: Nuclear Physics B, Bind 942, 2019, s. 251-302.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Bourjaily, JL, Dulat, F & Panzer, E 2019, 'Manifestly dual-conformal loop integration', Nuclear Physics B, bind 942, s. 251-302. https://doi.org/10.1016/j.nuclphysb.2019.03.022

APA

Bourjaily, J. L., Dulat, F., & Panzer, E. (2019). Manifestly dual-conformal loop integration. Nuclear Physics B, 942, 251-302. https://doi.org/10.1016/j.nuclphysb.2019.03.022

Vancouver

Bourjaily JL, Dulat F, Panzer E. Manifestly dual-conformal loop integration. Nuclear Physics B. 2019;942:251-302. https://doi.org/10.1016/j.nuclphysb.2019.03.022

Author

Bourjaily, Jacob L. ; Dulat, Falko ; Panzer, Erik. / Manifestly dual-conformal loop integration. I: Nuclear Physics B. 2019 ; Bind 942. s. 251-302.

Bibtex

@article{c92ba47ecbb5410c99b8b9aa7c25e8b5,
title = "Manifestly dual-conformal loop integration",
abstract = "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 na{\"i}vely 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.",
author = "Bourjaily, {Jacob L.} and Falko Dulat and Erik Panzer",
year = "2019",
doi = "10.1016/j.nuclphysb.2019.03.022",
language = "English",
volume = "942",
pages = "251--302",
journal = "Nuclear Physics, Section B",
issn = "0550-3213",
publisher = "Elsevier BV * North-Holland",

}

RIS

TY - JOUR

T1 - Manifestly dual-conformal loop integration

AU - Bourjaily, Jacob L.

AU - Dulat, Falko

AU - Panzer, Erik

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

U2 - 10.1016/j.nuclphysb.2019.03.022

DO - 10.1016/j.nuclphysb.2019.03.022

M3 - Journal article

AN - SCOPUS:85063939086

VL - 942

SP - 251

EP - 302

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

SN - 0550-3213

ER -

ID: 241108293