Manifesting enhanced cancellations in supergravity: integrands versus integrals

Bern, Zvi; Enciso, Michael; Parra-Martinez, Julio; Zeng, Mao

doi:10.1007/JHEP05(2017)137

Title: Manifesting enhanced cancellations in supergravity: integrands versus integrals

Journal Article · Thu May 25 00:00:00 EDT 2017 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP05(2017)137· OSTI ID:1389282

Bern, Zvi ^[1]; Enciso, Michael ^[1];

^[1]; Zeng, Mao ^[1]

Univ. of California, Los Angeles, CA (United States). Dept. of Physics and Astronomy

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.

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Research Organization:: Univ. of California, Los Angeles, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0009937

OSTI ID:: 1389282

Journal Information:: Journal of High Energy Physics (Online), Vol. 2017, Issue 5; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 13 works

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