Collinear limits beyond the leading order from the scattering equations - INSPIRE

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Collinear limits beyond the leading order from the scattering equations

Dhritiman Nandan
(
- Humboldt U., Berlin
)
,
Jan Plefka
(
- Humboldt U., Berlin
)
,
Wadim Wormsbecher
(
- Humboldt U., Berlin
)

Aug 16, 2016

38 pages

Published in:

JHEP 02 (2017) 038

Published: Feb 8, 2017

e-Print:

1608.04730 [hep-th]

DOI:

10.1007/JHEP02(2017)038

Report number:

HU-EP-16-26

View in:

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Abstract: (Springer)

The structure of tree-level scattering amplitudes for collinear massless bosons is studied beyond their leading splitting function behavior. These near-collinear limits at sub-leading order are best studied using the Cachazo-He-Yuan (CHY) formulation of the S-matrix based on the scattering equations. We compute the collinear limits for gluons, gravitons and scalars. It is shown that the CHY integrand for an n-particle gluon scattering amplitude in the collinear limit at sub-leading order is expressed as a convolution of an (n − 1)-particle gluon integrand and a collinear kernel integrand, which is universal. Our representation is shown to obey recently proposed amplitude relations in which the collinear gluons of same helicity are replaced by a single graviton. Finally, we extend our analysis to effective field theories and study the collinear limit of the non-linear sigma model, Einstein-Maxwell-Scalar and Yang-Mills-Scalar theory.

Note:

38 pages

Scattering Amplitudes
Effective field theories
gluon: scattering amplitude
sigma model: nonlinear
higher-order: 0
effective field theory
tree approximation
splitting function
S-matrix
Einstein-Maxwell equation

References(54)

Figures(0)

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