Gravity loop integrands from the ultraviolet

Edison, Alex; Herrmann, Enrico; Parra-Martinez, Julio; Trnka, Jaroslav

doi:10.21468/SciPostPhys.10.1.016

SciPost Physics

Gravity loop integrands from the ultraviolet

Alex Edison, Enrico Herrmann, Julio Parra-Martinez, Jaroslav Trnka

SciPost Phys. 10, 016 (2021) · published 25 January 2021

doi: 10.21468/SciPostPhys.10.1.016
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Abstract

We demonstrate that loop integrands of (super-)gravity scattering ampli- tudes possess surprising properties in the ultraviolet (UV) region. In particular, we study the scaling of multi-particle unitarity cuts for asymptotically large momenta and expose an improved UV behavior of four-dimensional cuts through seven loops as com- pared to standard expectations. For N=8 supergravity, we show that the improved large momentum scaling combined with the behavior of the integrand under BCFW deformations of external kinematics uniquely fixes the loop integrands in a number of non-trivial cases. In the integrand construction, all scaling conditions are homoge- neous. Therefore, the only required information about the amplitude is its vanishing at particular points in momentum space. This homogeneous construction gives indirect evidence for a new geometric picture for graviton amplitudes similar to the one found for planar N=4 super Yang-Mills theory. We also show how the behavior at infinity is related to the scaling of tree-level amplitudes under certain multi-line chiral shifts which can be used to construct new recursion relations.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.10.1.016
TI  - Gravity loop integrands from the ultraviolet
PY  - 2021/01/25
UR  - https://www.scipost.org/SciPostPhys.10.1.016
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 10
IS  - 1
SP  - 016
A1  - Edison, Alex
AU  - Herrmann, Enrico
AU  - Parra-Martinez, Julio
AU  - Trnka, Jaroslav
AB  - We demonstrate that loop integrands of (super-)gravity scattering ampli- tudes possess surprising properties in the ultraviolet (UV) region. In particular, we study the scaling of multi-particle unitarity cuts for asymptotically large momenta and expose an improved UV behavior of four-dimensional cuts through seven loops as com- pared to standard expectations. For N=8 supergravity, we show that the improved large momentum scaling combined with the behavior of the integrand under BCFW deformations of external kinematics uniquely fixes the loop integrands in a number of non-trivial cases. In the integrand construction, all scaling conditions are homoge- neous. Therefore, the only required information about the amplitude is its vanishing at particular points in momentum space. This homogeneous construction gives indirect evidence for a new geometric picture for graviton amplitudes similar to the one found for planar N=4 super Yang-Mills theory. We also show how the behavior at infinity is related to the scaling of tree-level amplitudes under certain multi-line chiral shifts which can be used to construct new recursion relations.
ER  -

@Article{10.21468/SciPostPhys.10.1.016,
	title={{Gravity loop integrands from the ultraviolet}},
	author={Alex Edison and Enrico Herrmann and Julio Parra-Martinez and Jaroslav Trnka},
	journal={SciPost Phys.},
	volume={10},
	pages={016},
	year={2021},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.10.1.016},
	url={https://scipost.org/10.21468/SciPostPhys.10.1.016},
}

Cited by 8

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¹ ² Alex Edison,
³ Enrico Herrmann,
² Julio Parra-Martinez,
⁴ Jaroslav Trnka

Funders for the research work leading to this publication