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Title: Manifesting enhanced cancellations in supergravity: integrands versus integrals

We have found examples of `enhanced ultraviolet cancellations' with no known standard-symmetry explanation in a variety of supergravity theories. Furthermore, by examining one- and two-loop examples in four- and five-dimensional half-maximal supergravity, we argue that enhanced cancellations in general cannot be exhibited prior to integration. In light of this, we explore reorganizations of integrands into parts that are manifestly finite and parts that have poor power counting but integrate to zero due to integral identities. At two loops we find that in the large loop-momentum limit the required integral identities follow from Lorentz and SL(2) relabeling symmetry. We carry out a nontrivial check at four loops showing that the identities generated in this way are a complete set. We propose that at L loops the combination of Lorentz and SL(L) symmetry is sufficient for displaying enhanced cancellations when they happen, whenever the theory is known to be ultraviolet finite up to (L - 1) loops.
Authors:
 [1] ;  [1] ; ORCiD logo [1] ;  [1]
  1. Univ. of California, Los Angeles, CA (United States). Dept. of Physics and Astronomy
Publication Date:
Grant/Contract Number:
SC0009937
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 5; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
Univ. of California, Los Angeles, CA (United States)
Sponsoring Org:
USDOE Office of Science (SC)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Scattering Amplitudes; Models of Quantum Gravity; Supergravity Models
OSTI Identifier:
1389282

Bern, Zvi, Enciso, Michael, Parra-Martinez, Julio, and Zeng, Mao. Manifesting enhanced cancellations in supergravity: integrands versus integrals. United States: N. p., Web. doi:10.1007/JHEP05(2017)137.
Bern, Zvi, Enciso, Michael, Parra-Martinez, Julio, & Zeng, Mao. Manifesting enhanced cancellations in supergravity: integrands versus integrals. United States. doi:10.1007/JHEP05(2017)137.
Bern, Zvi, Enciso, Michael, Parra-Martinez, Julio, and Zeng, Mao. 2017. "Manifesting enhanced cancellations in supergravity: integrands versus integrals". United States. doi:10.1007/JHEP05(2017)137. https://www.osti.gov/servlets/purl/1389282.
@article{osti_1389282,
title = {Manifesting enhanced cancellations in supergravity: integrands versus integrals},
author = {Bern, Zvi and Enciso, Michael and Parra-Martinez, Julio and Zeng, Mao},
abstractNote = {We have found examples of `enhanced ultraviolet cancellations' with no known standard-symmetry explanation in a variety of supergravity theories. Furthermore, by examining one- and two-loop examples in four- and five-dimensional half-maximal supergravity, we argue that enhanced cancellations in general cannot be exhibited prior to integration. In light of this, we explore reorganizations of integrands into parts that are manifestly finite and parts that have poor power counting but integrate to zero due to integral identities. At two loops we find that in the large loop-momentum limit the required integral identities follow from Lorentz and SL(2) relabeling symmetry. We carry out a nontrivial check at four loops showing that the identities generated in this way are a complete set. We propose that at L loops the combination of Lorentz and SL(L) symmetry is sufficient for displaying enhanced cancellations when they happen, whenever the theory is known to be ultraviolet finite up to (L - 1) loops.},
doi = {10.1007/JHEP05(2017)137},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2017,
place = {United States},
year = {2017},
month = {5}
}