Five-loop four-point integrand of supergravity as a generalized double copy
Abstract
Here, we use the recently developed generalized double-copy procedure to construct an integrand for the five-loop four-point amplitude of supergravity. This construction starts from a naive double copy of the previously computed corresponding amplitude of super-Yang-Mills theory. This is then systematically modified by adding contact terms generated in the context of the method of maximal unitarity cuts. For the simpler generalized cuts, whose corresponding contact terms tend to be the most complicated, we derive a set of formulas relating the contact contributions to the violations of the dual Jacobi identities in the relevant gauge-theory amplitudes. For more complex generalized unitarity cuts, which tend to have simpler contact terms associated with them, we use the method of maximal cuts more directly. The five-loop four-point integrand is a crucial ingredient towards future studies of ultraviolet properties of supergravity at five loops and beyond. We further propose a nontrivial check of the consistency of the integrand, based on modern approaches for integrating over the loop momenta in the ultraviolet region.
- Authors:
-
- Univ. of California, Los Angeles, CA (United States)
- Univ. Paris-Saclay, Gif-sur-Yvette (France)
- Uppsala Univ. (Sweden); KTH Royal Inst. of Technology, Stockholm (Sweden)
- Pennsylvania State Univ., University Park, PA (United States)
- Publication Date:
- Research Org.:
- Univ. of California, Los Angeles, CA (United States); Univ. of California, Santa Barbara, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP); European Research Council (ERC); Knut and Alice Wallenberg Foundation; Ragnar Söderberg Foundation; National Science Foundation (NSF); Swedish Research Council (SRC)
- OSTI Identifier:
- 1609071
- Alternate Identifier(s):
- OSTI ID: 1414329
- Grant/Contract Number:
- SC0009937; SC0013699; PHY11-25915
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 96; Journal Issue: 12; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Bern, Zvi, Carrasco, John Joseph, Chen, Wei-Ming, Johansson, Henrik, Roiban, Radu, and Zeng, Mao. Five-loop four-point integrand of N=8 supergravity as a generalized double copy. United States: N. p., 2017.
Web. doi:10.1103/PhysRevD.96.126012.
Bern, Zvi, Carrasco, John Joseph, Chen, Wei-Ming, Johansson, Henrik, Roiban, Radu, & Zeng, Mao. Five-loop four-point integrand of N=8 supergravity as a generalized double copy. United States. https://doi.org/10.1103/PhysRevD.96.126012
Bern, Zvi, Carrasco, John Joseph, Chen, Wei-Ming, Johansson, Henrik, Roiban, Radu, and Zeng, Mao. Wed .
"Five-loop four-point integrand of N=8 supergravity as a generalized double copy". United States. https://doi.org/10.1103/PhysRevD.96.126012. https://www.osti.gov/servlets/purl/1609071.
@article{osti_1609071,
title = {Five-loop four-point integrand of N=8 supergravity as a generalized double copy},
author = {Bern, Zvi and Carrasco, John Joseph and Chen, Wei-Ming and Johansson, Henrik and Roiban, Radu and Zeng, Mao},
abstractNote = {Here, we use the recently developed generalized double-copy procedure to construct an integrand for the five-loop four-point amplitude of N=8 supergravity. This construction starts from a naive double copy of the previously computed corresponding amplitude of N=4 super-Yang-Mills theory. This is then systematically modified by adding contact terms generated in the context of the method of maximal unitarity cuts. For the simpler generalized cuts, whose corresponding contact terms tend to be the most complicated, we derive a set of formulas relating the contact contributions to the violations of the dual Jacobi identities in the relevant gauge-theory amplitudes. For more complex generalized unitarity cuts, which tend to have simpler contact terms associated with them, we use the method of maximal cuts more directly. The five-loop four-point integrand is a crucial ingredient towards future studies of ultraviolet properties of N=8 supergravity at five loops and beyond. We further propose a nontrivial check of the consistency of the integrand, based on modern approaches for integrating over the loop momenta in the ultraviolet region.},
doi = {10.1103/PhysRevD.96.126012},
journal = {Physical Review D},
number = 12,
volume = 96,
place = {United States},
year = {Wed Dec 20 00:00:00 EST 2017},
month = {Wed Dec 20 00:00:00 EST 2017}
}
Web of Science
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Works referencing / citing this record:
An Asymptotically Safe Guide to Quantum Gravity and Matter
journal, January 2019
- Eichhorn, Astrid
- Frontiers in Astronomy and Space Sciences, Vol. 5
Type D spacetimes and the Weyl double copy
journal, February 2019
- Luna, Andrés; Monteiro, Ricardo; Nicholson, Isobel
- Classical and Quantum Gravity, Vol. 36, Issue 6
Positive helicity Einstein-Yang-Mills amplitudes from the double copy method
journal, February 2019
- Faller, Josua; Plefka, Jan
- Physical Review D, Vol. 99, Issue 4
Gravitational radiation from the classical spinning double copy
text, January 2018
- Li, Jingping; Prabhu, Siddharth G.
- arXiv
An asymptotically safe guide to quantum gravity and matter
preprint, January 2018
- Eichhorn, Astrid
- arXiv
Type D Spacetimes and the Weyl Double Copy
text, January 2018
- Luna, Andres; Monteiro, Ricardo; Nicholson, Isobel
- arXiv
Positive helicity Einstein-Yang-Mills amplitudes from the Double Copy
text, January 2018
- Faller, Josua; Plefka, Jan
- arXiv