Built on

F. Bloch and A. Nordsieck, “Note on the Radiation Field of the electron,” Phys. Rev
1937
Earlier work this paper cites.
M. Gell-Mann and M. L. Goldberger, Phys. Rev
1954
Earlier work this paper cites.
F. E. Low, Phys. Rev
1958
Earlier work this paper cites.
T. Kinoshita, “Mass singularities of Feynman amplitudes,” J. Math. Phys
1962
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,” Phys. Rev
1964
Earlier work this paper cites.
T. D. Lee and M. Nauenberg, “Degenerate Systems and Mass Singularities,” Phys. Rev
1964
Earlier work this paper cites.
S. Weinberg, “Infrared photons and gravitons,” Phys. Rev
1965
Earlier work this paper cites.
T. H. Burnett and N. M. Kroll, Phys. Rev. Lett
1968
Earlier work this paper cites.
D. J. Gross and R. Jackiw, “Low-Energy Theorem for Graviton Scattering,” Phys. Rev
1968
Earlier work this paper cites.
R. Jackiw, “Low-Energy Theorems for Massless Bosons: Photons and Gravitons,” Phys. Rev
1968
Earlier work this paper cites.
S. Saito, Phys. Rev
1969
Earlier work this paper cites.
J. S. Bell and R. Van Royen, Nuovo Cim
1969
Earlier work this paper cites.
P. P. Kulish and L. D. Faddeev, ÒAsymptotic conditions and infrared divergences in quantum electrodynamics,Ó Theor. Math. Phys
1970
Earlier work this paper cites.
P. C. Peters, “Relativistic Gravitational Bremsstrahlung.”, Phys. Rev
1970
Earlier work this paper cites.
M. Ademollo, A. D’Adda, R. D’Auria, F. Gliozzi, E. Napolitano, S. Sciuto and P. Di Vecchia, “Soft Dilations and Scale Renormalization in Dual Theories,” Nucl. Phys. B
1975
Earlier work this paper cites.
J. A. Shapiro, “On the Renormalization of Dual Models,” Phys. Rev. D
1975
Earlier work this paper cites.
V. Del Duca, Nucl. Phys
1990
Earlier work this paper cites.
W. D. Goldberger and A. Ross, “Gravitational radiative corrections from effective field theory,” Phys. Rev. D
Original
2010
Earlier work this paper cites.
C. D. White, “Factorization Properties of Soft Graviton Amplitudes,” JHEP
Original
2011
Earlier work this paper cites.
R. A. Porto, A. Ross and I. Z. Rothstein, “Spin induced multipole moments for the gravitational wave amplitude from binary inspirals to 2.5 Post-Newtonian order,” JCAP
Original
2012
Earlier work this paper cites.
J. Ware, R. Saotome and R. Akhoury, “Construction of an asymptotic S matrix for perturbative quantum gravity,” JHEP
Original
2013
Earlier work this paper cites.
E. Casali, “Soft sub-leading divergences in Yang-Mills amplitudes,” JHEP
Original
2014
Earlier work this paper cites.
B. U. W. Schwab and A. Volovich, “Subleading Soft Theorem in Arbitrary Dimensions from Scattering Equations,” Phys. Rev. Lett
Original
2014
Earlier work this paper cites.
Z. Bern, S. Davies and J. Nohle, “On Loop Corrections to Subleading Soft Behavior of Gluons and Gravitons,” Phys. Rev. D
Original
2014
Earlier work this paper cites.
S. He, Y. t. Huang and C. Wen, “Loop Corrections to Soft Theorems in Gauge Theories and Gravity,” JHEP
Original
2014
Earlier work this paper cites.

Similar

A. J. Larkoski, “Conformal Invariance of the Subleading Soft Theorem in Gauge Theory,” Phys. Rev. D
Original
2014
Cited alongside, same era.
B. U. W. Schwab, “Subleading Soft Factor for String Disk Amplitudes,” JHEP
Original
2014
Cited alongside, same era.
J. Broedel, M. de Leeuw, J. Plefka and M. Rosso, “Constraining subleading soft gluon and graviton theorems,” Phys. Rev. D
Original
2014
Cited alongside, same era.
Z. Bern, S. Davies, P. Di Vecchia and J. Nohle, “Low-Energy Behavior of Gluons and Gravitons from Gauge Invariance,” Phys. Rev. D
Original
2014
Cited alongside, same era.
C. D. White, “Diagrammatic insights into next-to-soft corrections,” Phys. Lett. B
Original

Then

T. He, V. Lysov, P. Mitra and A. Strominger, “BMS supertranslations and WeinbergÕs soft graviton theorem,” JHEP
Original
2015
Later among the works it cites.
M. Campiglia and A. Laddha, “New symmetries for the Gravitational S-matrix,” JHEP
Original
2015
Later among the works it cites.
M. Campiglia and A. Laddha, “Asymptotic symmetries of QED and Weinberg?s soft photon theorem,” JHEP
Original
2015
Later among the works it cites.
M. Campiglia and A. Laddha, “Asymptotic symmetries of gravity and soft theorems for massive particles,” JHEP
Original
2015
Later among the works it cites.
A. L. Guerrieri, “Soft behavior of string amplitudes with external massive states,” Nuovo Cim. C

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2018

Logarithmic Terms in the Soft Expansion in Four Dimensions

Laddha, Alok, Sen, Ashoke

Understand

It has been shown that in larger than four space-time dimensions, soft factors that relate the amplitudes with a soft photon or graviton to amplitudes without the soft particle also determine the low frequency radiative part of the electromagnetic and gravitational fields during classical scattering.

In four dimensions the S-matrix becomes infrared divergent making the usual definition of the soft factor ambiguous beyond the leading order.
However the radiative parts of the electromagnetic and gravitational fields provide an unambiguous definition of soft factor in the classical limit up to the usual gauge ambiguity.
We show that the soft factor defined this way develops terms involving logarithm of the energy of the soft particle at the subleading order in the soft expansion.