Built on

M. Fael and M. Passera, Muon-Electron Scattering at Next-To-Next-To-Leading Order: The Hadronic Corrections , Phys. Rev. Lett. 122
Original
1901
Earlier work this paper cites.
F. Buccioni, J.-N. Lang, J. M. Lindert, P. Maierhöfer, S. Pozzorini, H. Zhang et al., OpenLoops 2 , Eur. Phys. J. C 79
Original
1907
Earlier work this paper cites.
M. Beneke, A. Broggio, S. Jaskiewicz and L. Vernazza, Threshold factorization of the Drell-Yan process at next-to-leading power , JHEP 07
Original
1912
Earlier work this paper cites.
F. E. Low, Bremsstrahlung of very low-energy quanta in elementary particle collisions , Phys. Rev. 110
1958
Earlier work this paper cites.
D. R. Yennie, S. C. Frautschi and H. Suura, The infrared divergence phenomena and high-energy processes , Annals Phys. 13
1961
Earlier work this paper cites.
S. L. Adler and Y. Dothan, Low-energy theorem for the weak axial-vector vertex , Phys. Rev. 151
1966
Earlier work this paper cites.
T. H. Burnett and N. M. Kroll, Extension of the low soft photon theorem , Phys. Rev. Lett. 20
1968
Earlier work this paper cites.
V. N. Baier, V. S. Fadin and V. A. Khoze, Quasireal electron method in high-energy quantum electrodynamics , Nucl. Phys. B 65
1973
Earlier work this paper cites.
F. A. Berends, R. Kleiss, P. De Causmaecker, R. Gastmans, W. Troost and T. T. Wu, Multiple Bremsstrahlung in Gauge Theories at High-Energies. 2. Single Bremsstrahlung , Nucl. Phys. B 206
1982
Earlier work this paper cites.
R. Kleiss, Hard Bremsstrahlung Amplitudes for e + e − e^{+}e^{-} Collisions With Polarized Beams at LEP / SLC Energies , Z. Phys. C 33
1987
Earlier work this paper cites.
V. Del Duca, High-energy Bremsstrahlung Theorems for Soft Photons , Nucl. Phys. B 345
1990
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar and D. A. Kosower, One loop n n point gauge theory amplitudes, unitarity and collinear limits , Nucl. Phys. B 425
1994
Earlier work this paper cites.
M. Beneke and V. A. Smirnov, Asymptotic expansion of Feynman integrals near threshold , Nucl. Phys. B 522
1998
Earlier work this paper cites.
D. A. Kosower and P. Uwer, One loop splitting amplitudes in gauge theory , Nucl. Phys. B 563
1999
Earlier work this paper cites.
V. A. Smirnov, Problems of the strategy of regions , Phys. Lett. B 465
1999
Earlier work this paper cites.

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S. Dittmaier, A General approach to photon radiation off fermions , Nucl. Phys. B 565
2000
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2000
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P. S. B. Dev, W. Rodejohann, X.-J. Xu and Y. Zhang, MUonE sensitivity to new physics explanations of the muon anomalous magnetic moment , JHEP 05
Original
2002
Cited alongside, same era.
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2002
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2004
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Then

Z. Bern, S. Davies, P. Di Vecchia and J. Nohle, Low-Energy Behavior of Gluons and Gravitons from Gauge Invariance , Phys. Rev. D 90
Original
2014
Later among the works it cites.
D. Bonocore, E. Laenen, L. Magnea, S. Melville, L. Vernazza and C. D. White, A factorization approach to next-to-leading-power threshold logarithms , JHEP 06
Original
2015
Later among the works it cites.
A. J. Larkoski, D. Neill and I. W. Stewart, Soft Theorems from Effective Field Theory , JHEP 06
Original
2015
Later among the works it cites.
C. M. Carloni Calame, M. Passera, L. Trentadue and G. Venanzoni, A new approach to evaluate the leading hadronic corrections to the muon g g -2 , Phys. Lett. B 746
Original
2015
Later among the works it cites.
D. Bonocore, E. Laenen, L. Magnea, L. Vernazza and C. D. White, Non-abelian factorisation for next-to-leading-power threshold logarithms , JHEP 12

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2021

Universal structure of radiative QED amplitudes at one loop

Engel, Tim, Signer, Adrian, Ulrich, Yannick

Understand

We present two novel results about the universal structure of radiative QED amplitudes in the soft and in the collinear limit.

On the one hand, we extend the well-known Low-Burnett-Kroll theorem to the one-loop level and give the explicit relation between the radiative and non-radiative amplitude at subleading power in the soft limit.
On the other hand, we consider a factorisation formula at leading power in the limit where the emitted photon becomes collinear to a light fermion and provide the corresponding one-loop splitting function.
In addition to being interesting in their own right these findings are particularly relevant in the context of fully-differential higher-order QED calculations.

Built on

M. Fael and M. Passera, Muon-Electron Scattering at Next-To-Next-To-Leading Order: The Hadronic Corrections , Phys. Rev. Lett. 122
Original
1901
Earlier work this paper cites.
F. Buccioni, J.-N. Lang, J. M. Lindert, P. Maierhöfer, S. Pozzorini, H. Zhang et al., OpenLoops 2 , Eur. Phys. J. C 79
Original
1907
Earlier work this paper cites.
M. Beneke, A. Broggio, S. Jaskiewicz and L. Vernazza, Threshold factorization of the Drell-Yan process at next-to-leading power , JHEP 07
Original
1912
Earlier work this paper cites.
F. E. Low, Bremsstrahlung of very low-energy quanta in elementary particle collisions , Phys. Rev. 110
1958
Earlier work this paper cites.
D. R. Yennie, S. C. Frautschi and H. Suura, The infrared divergence phenomena and high-energy processes , Annals Phys. 13
1961
Earlier work this paper cites.
S. L. Adler and Y. Dothan, Low-energy theorem for the weak axial-vector vertex , Phys. Rev. 151
1966
Earlier work this paper cites.
T. H. Burnett and N. M. Kroll, Extension of the low soft photon theorem , Phys. Rev. Lett. 20
1968
Earlier work this paper cites.
V. N. Baier, V. S. Fadin and V. A. Khoze, Quasireal electron method in high-energy quantum electrodynamics , Nucl. Phys. B 65
1973
Earlier work this paper cites.
F. A. Berends, R. Kleiss, P. De Causmaecker, R. Gastmans, W. Troost and T. T. Wu, Multiple Bremsstrahlung in Gauge Theories at High-Energies. 2. Single Bremsstrahlung , Nucl. Phys. B 206
1982
Earlier work this paper cites.
R. Kleiss, Hard Bremsstrahlung Amplitudes for e + e − e^{+}e^{-} Collisions With Polarized Beams at LEP / SLC Energies , Z. Phys. C 33
1987
Earlier work this paper cites.
V. Del Duca, High-energy Bremsstrahlung Theorems for Soft Photons , Nucl. Phys. B 345
1990
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar and D. A. Kosower, One loop n n point gauge theory amplitudes, unitarity and collinear limits , Nucl. Phys. B 425
1994
Earlier work this paper cites.
M. Beneke and V. A. Smirnov, Asymptotic expansion of Feynman integrals near threshold , Nucl. Phys. B 522
1998
Earlier work this paper cites.
D. A. Kosower and P. Uwer, One loop splitting amplitudes in gauge theory , Nucl. Phys. B 563
1999
Earlier work this paper cites.
V. A. Smirnov, Problems of the strategy of regions , Phys. Lett. B 465
1999
Earlier work this paper cites.

Similar

S. Dittmaier, A General approach to photon radiation off fermions , Nucl. Phys. B 565
2000
Cited alongside, same era.
E. Remiddi and J. A. M. Vermaseren, Harmonic polylogarithms , Int. J. Mod. Phys. A 15
2000
Cited alongside, same era.
P. S. B. Dev, W. Rodejohann, X.-J. Xu and Y. Zhang, MUonE sensitivity to new physics explanations of the muon anomalous magnetic moment , JHEP 05
Original
2002
Cited alongside, same era.
A. Masiero, P. Paradisi and M. Passera, New physics at the MUonE experiment at CERN , Phys. Rev. D 102
Original
2002
Cited alongside, same era.
Z. Bern, L. J. Dixon and D. A. Kosower, Two-loop g → g g g\to gg splitting amplitudes in QCD , JHEP 08
2004
Cited alongside, same era.

Then

Z. Bern, S. Davies, P. Di Vecchia and J. Nohle, Low-Energy Behavior of Gluons and Gravitons from Gauge Invariance , Phys. Rev. D 90
Original
2014
Later among the works it cites.
D. Bonocore, E. Laenen, L. Magnea, S. Melville, L. Vernazza and C. D. White, A factorization approach to next-to-leading-power threshold logarithms , JHEP 06
Original
2015
Later among the works it cites.
A. J. Larkoski, D. Neill and I. W. Stewart, Soft Theorems from Effective Field Theory , JHEP 06
Original
2015
Later among the works it cites.
C. M. Carloni Calame, M. Passera, L. Trentadue and G. Venanzoni, A new approach to evaluate the leading hadronic corrections to the muon g g -2 , Phys. Lett. B 746
Original
2015
Later among the works it cites.
D. Bonocore, E. Laenen, L. Magnea, L. Vernazza and C. D. White, Non-abelian factorisation for next-to-leading-power threshold logarithms , JHEP 12

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

S. D. Badger and E. W. N. Glover, Two loop splitting functions in QCD , JHEP 07

2004

Cited alongside, same era.

P. Banerjee et al., Theory for muon-electron scattering @ 10 ppm: A report of the MUonE theory initiative , Eur. Phys. J. C 80

Original

2004

Cited alongside, same era.

T. Huber and D. Maitre, HypExp: A Mathematica package for expanding hypergeometric functions around integer-valued parameters , Comput. Phys. Commun. 175

2006

Cited alongside, same era.

D. Maitre, HPL, a mathematica implementation of the harmonic polylogarithms , Comput. Phys. Commun. 174

2006

Cited alongside, same era.

C. M. Carloni Calame, M. Chiesa, S. M. Hasan, G. Montagna, O. Nicrosini and F. Piccinini, Towards muon-electron scattering at NNLO , JHEP 11

Original

2007

Cited alongside, same era.

P. Banerjee, T. Engel, A. Signer and Y. Ulrich, QED at NNLO with McMule , SciPost Phys. 9

Original

2007

Cited alongside, same era.

E. Laenen, J. Sinninghe Damsté, L. Vernazza, W. Waalewijn and L. Zoppi, Towards all-order factorization of QED amplitudes at next-to-leading power , Phys. Rev. D 103

Original

2008

Cited alongside, same era.

Original

2016