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On the Subleading-Soft Behaviour of QCD Amplitudes · Around

2014

On the Subleading-Soft Behaviour of QCD Amplitudes

Luo, Hui, Mastrolia, Pierpaolo, Bobadilla, William J. Torres

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We elaborate on the radiative behaviour of tree-level scattering amplitudes in the soft regime.

We show that the sub-leading soft term in single-gluon emission of quark-gluon amplitudes in QCD is controlled by differential operators, whose universal form can be derived from both on-shell recursion relation and gauge invariance, as it was shown to hold for graviton- and gluon-scattering.

Built on

F. Low, Bremsstrahlung of very low-energy quanta in elementary particle collisions
1958
Earlier work this paper cites.
S. Weinberg, Photons and Gravitons in s Matrix Theory: Derivation of Charge Conservation and Equality of Gravitational and Inertial Mass
1964
Earlier work this paper cites.
R. Britto, F. Cachazo, and B. Feng, New recursion relations for tree amplitudes of gluons
2005
Earlier work this paper cites.
R. Britto, F. Cachazo, B. Feng, and E. Witten, Direct proof of tree-level recursion relation in Yang-Mills theory
2005
Earlier work this paper cites.
M.-x. Luo and C.-k. Wen, Compact formulas for all tree amplitudes of six partons
2005
Earlier work this paper cites.

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C. D. White, Factorization Properties of Soft Graviton Amplitudes
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F. Cachazo and A. Strominger, Evidence for a New Soft Graviton Theorem
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Z. Bern, S. Davies, P. Di Vecchia, and J. Nohle, Low-Energy Behavior of Gluons and Gravitons from Gauge Invariance
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S. He, Y.-t. Huang, and C. Wen, Loop Corrections to Soft Theorems in Gauge Theories and Gravity
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Then

B. U. W. Schwab and A. Volovich, Subleading soft theorem in arbitrary dimension from scattering equations
Original
2014
Closest in time.
A. J. Larkoski, Conformal Invariance of the Subleading Soft Theorem in Gauge Theory
Original
2014
Closest in time.
V. Lysov, S. Pasterski, and A. Strominger, Low’s Subleading Soft Theorem as a Symmetry of QED
Original
2014
Closest in time.
J. Broedel, M. de Leeuw, J. Plefka, and M. Rosso, Constraining subleading soft gluon and graviton theorems
Original
2014
Closest in time.

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