Two-loop renormalization of quantum gravity simplified

Bern, Zvi; Chi, Huan -Hang; Dixon, Lance; Edison, Alex

doi:10.1103/PhysRevD.95.046013

Title: Two-loop renormalization of quantum gravity simplified

Journal Article · Wed Feb 22 00:00:00 EST 2017 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.95.046013· OSTI ID:1355723

Bern, Zvi ^[1]; Chi, Huan -Hang ^[2]; Dixon, Lance ^[2]; Edison, Alex ^[1]

Univ. of California, Los Angeles, CA (United States)
Stanford Univ., Stanford, CA (United States). SLAC National Accelerator Lab.

The coefficient of the dimensionally regularized two-loop R ³ divergence of (nonsupersymmetric) gravity theories has recently been shown to change when nondynamical three-forms are added to the theory, or when a pseudoscalar is replaced by the antisymmetric two-form field to which it is dual. This phenomenon involves evanescent operators, whose matrix elements vanish in four dimensions, including the Gauss-Bonnet operator which is also connected to the trace anomaly. On the other hand, these effects appear to have no physical consequences for renormalized scattering processes. In particular, the dependence of the two-loop four-graviton scattering amplitude on the renormalization scale is simple. As a result, we explain this result for any minimally-coupled massless gravity theory with renormalizable matter interactions by using unitarity cuts in four dimensions and never invoking evanescent operators.

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

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: AC02-76SF00515; SC0009937

OSTI ID:: 1355723

Alternate ID(s):: OSTI ID: 1344612

Report Number(s):: SLAC-PUB-16905; PRVDAQ

Journal Information:: Physical Review D, Vol. 95, Issue 4; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 33 works

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