Local contributions to factorized soft graviton theorems at loop level

Broedel, Johannes; de Leeuw, Marius; Plefka, Jan; Rosso, Matteo

doi:10.1016/j.physletb.2015.05.018

Local contributions to factorized soft graviton theorems at loop level

Johannes Broedel
(
- Zurich, ETH
)
,
Marius de Leeuw
(
- Zurich, ETH and
- Bohr Inst.
)
,
Jan Plefka
(
- Zurich, ETH and
- Humboldt U., Berlin
)
,
Matteo Rosso
(
- Zurich, ETH
)

Nov 9, 2014

7 pages

Published in:

Phys.Lett.B 746 (2015) 293-299

Published: May 12, 2015

e-Print:

1411.2230 [hep-th]

DOI:

10.1016/j.physletb.2015.05.018

Report number:

HU-EP-14-36

View in:

ADS Abstract Service

reference search33 citations

Citations per year

Abstract: (Elsevier)

We analyze the low-energy behavior of scattering amplitudes involving gravitons at loop level in four dimensions. The single-graviton soft limit is controlled by soft operators which have been argued to separate into a factorized piece and a non-factorizing infrared divergent contribution. In this note we show that the soft operators responsible for the factorized contributions are strongly constrained by gauge and Poincaré invariance under the assumption of a local structure. We show that the leading and subleading orders in the soft-momentum expansion cannot receive radiative corrections. The first radiative correction occurs for the sub-subleading soft graviton operator and is one-loop exact. It depends on only two undetermined coefficients which should reflect the field content of the theory under consideration.

Note:

15 pages, 1 figure

Scattering amplitudes
Graviton amplitudes
Gluon amplitudes
Soft radiation
low-energy theorem
operator: dimension: 4
gravitation
graviton
scattering amplitude
infrared problem

References(32)

Figures(0)

[1]

On BMS Invariance of Gravitational Scattering

Andrew Strominger
(
- Harvard U.
)

- JHEP 07 (2014) 152
•
e-Print:
- 1312.2229
•
DOI:
- 10.1007/JHEP07(2014)152

[1]

BMS supertranslations and Weinberg’s soft graviton theorem

- JHEP 05 (2015) 151
•
e-Print:
- 1401.7026
•
DOI:
- 10.1007/JHEP05(2015)151

[1]

Semiclassical Virasoro symmetry of the quantum gravity $\mathcal{S}$ -matrix

- JHEP 08 (2014) 058
•
e-Print:
- 1406.3312
•
DOI:
- 10.1007/JHEP08(2014)058

[2]

Gravitational waves in general relativity. 7. Waves from axisymmetric isolated systems

- Proc.Roy.Soc.Lond.A 269 (1962) 21-52
•
DOI:
- 10.1098/rspa.1962.0161

[2]

Gravitational waves in general relativity. 8. Waves in asymptotically flat space-times

R.K. Sachs

- Proc.Roy.Soc.Lond.A 270 (1962) 103-126
•
DOI:
- 10.1098/rspa.1962.0206

[2]

Aspects of the BMS/CFT correspondence

Glenn Barnich
(
- Brussels U., PTM and
- Intl. Solvay Inst., Brussels
)
,
Cedric Troessaert
(
- Brussels U., PTM and
- Intl. Solvay Inst., Brussels
)

- JHEP 05 (2010) 062
•
e-Print:
- 1001.1541
•
DOI:
- 10.1007/JHEP05(2010)062

[3]

Photons and Gravitons in $S$ -Matrix Theory: Derivation of Charge Conservation and Equality of Gravitational and Inertial Mass

Steven Weinberg
(
- UC, Berkeley
)

- Phys.Rev. 135 (1964) B1049-B1056,
- Reprinted in *Noz, M.E. (ed.), Kim, Y.S. (ed.): Special relativity and quantum theory* 338-345
•
DOI:
- 10.1103/PhysRev.135.B1049