Two-loop<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>n</mml:mi></mml:math>-point all-plus helicity amplitude

Dunbar, David C.; Jehu, Guy R.; Perkins, Warren B.

doi:10.1103/physrevd.93.125006

Cited by 30 publications

(37 citation statements)

References 24 publications

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“…The first amplitude to be computed at five point was the leading in color part of the amplitude with all positive helicity external gluons (the all-plus amplitude) which was computed using d-dimensional unitarity methods [8,9] and was subsequently presented in a very elegant and compact form [10]. In [11], it was shown how four-dimensional unitarity techniques could be used to regenerate the five-point leading in color amplitude. The leading in color five-point amplitudes have been computed for the remaining helicities [12,13].…”

Section: Introductionmentioning

confidence: 99%

n -point QCD two-loop amplitude

2020

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Section: Introductionmentioning

confidence: 99%

n -point QCD two-loop amplitude

2020

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“…Recently a similar technique has been applied to two-loop identical-helicity amplitudes in gauge theory by Dunbar, Jehu and Perkins [27]. Here we repeat the two-loop four-graviton calculation, but in a way that completely avoids dimensional regularization and focuses on the consequences and interpretation of the renormalization scale.…”

Section: Renormalization-scale Dependence Directly From Four-dimmentioning

confidence: 95%

Two-loop renormalization of quantum gravity simplified

et al. 2017

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The coefficient of the dimensionally regularized two-loop R 3 divergence of (nonsupersymmetric) gravity theories has recently been shown to change when non-dynamical three forms are added to the theory, or when a pseudo-scalar is replaced by the anti-symmetric 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 in renormalized scattering processes. In particular, the dependence of the two-loop four-graviton scattering amplitude on the renormalization scale is simple. In this paper, 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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“…To bridge this gap, efforts have been made to make the IR behavior apparent already at the integrand level. A notable example of this is the planar all-plus sector, where the IR structure -reduced in this case to the one-loop complexity -has been exploited to obtain compact two-loop integrands [15,16] and amplitudes [17][18][19][20][21] at five and higher points. In particular, the unrenormalized all-plus integrands were built from loop variables tailored to control IR divergences in specific regions.…”

Section: Introductionmentioning

confidence: 99%

Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes

Kälin

Mogull

Ochirov

et al. 2020

J. High Energ. Phys.

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Using a careful choice of infrared (IR) subtraction scheme, we demonstrate the cancellation of all terms with transcendental weights 0,1,2 from the finite part of the full-color two-loop four-gluon N = 2 supersymmetric QCD amplitude, with N f massless supersymmetric quarks. This generalizes the previously observed cancellation of weight-2 terms in the superconformal theory, where N f = 2N c for gauge group SU(N c ). The subtraction scheme follows naturally both from general IR factorization principles and from an integrand-level analysis of divergences in this amplitude. The divergences are written in terms of scalar triangle integrals whose expressions are known to all orders in the dimensional regulator = (4 − D)/2. We also present integrated expressions for the full-color two-loop four-point amplitudes with both matter and vectors on external legs in which lower-weight terms also cancel using an appropriate IR scheme. This provides us with values for the two-loop cusp, gluonic, and quark anomalous dimensions in N = 2 supersymmetric QCD, which are cross-checked between the three different amplitudes.

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Two-loopn-point all-plus helicity amplitude

Abstract: We propose a compact analytic expression for the polylogarithmic part of the n-point two-loop all-plus helicity amplitude in gauge theory.

Cited by 30 publications

References 24 publications

n -point QCD two-loop amplitude

n -point QCD two-loop amplitude

Two-loop renormalization of quantum gravity simplified

Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes

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