Built on

Q. Jin and G. Yang, Hidden Analytic Relations for Two-Loop Higgs Amplitudes in QCD , arXiv:1904.07260
Original
1904
Earlier work this paper cites.
C. Duhr, H. Johansson, G. Kälin, G. Mogull and B. Verbeek, The Full-Color Two-Loop Four-Gluon Amplitude in 𝒩 = 2 \mathcal{N}=2 Super-QCD , arXiv:1904.05299
Original
1904
Earlier work this paper cites.
M. van Beekveld, W. Beenakker, E. Laenen and C. D. White, Next-to-leading power threshold effects for inclusive and exclusive processes with final state jets , arXiv:1905.08741
Original
1905
Earlier work this paper cites.
M. van Beekveld, W. Beenakker, R. Basu, E. Laenen, A. Misra and P. Motylinski, Next-to-leading power threshold effects for resummed prompt photon production , Phys. Rev. D100
Original
1905
Earlier work this paper cites.
N. Bahjat-Abbas, D. Bonocore, J. Sinninghe Damsté, E. Laenen, L. Magnea, L. Vernazza et al., Diagrammatic resummation of leading-logarithmic threshold effects at next-to-leading power , arXiv:1905.13710
Original
1905
Earlier work this paper cites.
I. Moult, I. W. Stewart and G. Vita, Subleading Power Factorization with Radiative Functions , arXiv:1905.07411
Original
1905
Earlier work this paper cites.
L. J. Dixon, I. Moult and H. X. Zhu, Collinear limit of the energy-energy correlator , Phys. Rev. D100
Original
1905
Earlier work this paper cites.
M. Beneke, M. Garny, R. Szafron and J. Wang, Violation of the Kluberg-Stern-Zuber theorem in SCET , JHEP 09
Original
1907
Earlier work this paper cites.
R. Boughezal, A. Isgrò and F. Petriello, Next-to-leading power corrections to V + 1 V+1 jet production in N N -jettiness subtraction , arXiv:1907.12213
Original
1907
Earlier work this paper cites.
M. Beneke, C. Bobeth and R. Szafron, Power-enhanced leading-logarithmic QED corrections to B q → μ + μ − B_{q}\to\mu^{+}\mu^{-} , JHEP 10
Original
1908
Earlier work this paper cites.
M. Beneke, M. Garny, S. Jaskiewicz, R. Szafron, L. Vernazza and J. Wang, Leading-logarithmic threshold resummation of Higgs production in gluon fusion at next-to-leading power , arXiv:1910.12685
Original
1910
Earlier work this paper cites.
V. V. Sudakov, Vertex parts at very high-energies in quantum electrodynamics , Sov. Phys. JETP 3
1956
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.
T. H. Burnett and N. M. Kroll, Extension of the low soft photon theorem , Phys. Rev. Lett. 20
1968
Earlier work this paper cites.
E. Farhi, A QCD Test for Jets , Phys. Rev. Lett. 39
1977
Earlier work this paper cites.
G. P. Korchemsky and A. V. Radyushkin, Renormalization of the Wilson Loops Beyond the Leading Order , Nucl. Phys. B 283
1987
Earlier work this paper cites.
I. A. Korchemskaya and G. P. Korchemsky, On lightlike Wilson loops , Phys. Lett. B 287
1992
Earlier work this paper cites.
S. Catani, The Singular behavior of QCD amplitudes at two loop order , Phys. Lett. B427
1998
Earlier work this paper cites.
C. W. Bauer, S. Fleming and M. E. Luke, Summing Sudakov logarithms in B → X s γ B\to X_{s}\gamma in effective field theory , Phys. Rev. D63
2000
Earlier work this paper cites.
C. W. Bauer, S. Fleming, D. Pirjol and I. W. Stewart, An Effective field theory for collinear and soft gluons: Heavy to light decays , Phys. Rev. D63
2001
Earlier work this paper cites.
C. W. Bauer and I. W. Stewart, Invariant operators in collinear effective theory , Phys. Lett. B516
2001
Earlier work this paper cites.
A. V. Manohar, T. Mehen, D. Pirjol and I. W. Stewart, Reparameterization invariance for collinear operators , Phys. Lett. B539
2002
Earlier work this paper cites.

Similar

M. Beneke, A. P. Chapovsky, M. Diehl and T. Feldmann, Soft collinear effective theory and heavy to light currents beyond leading power , Nucl. Phys. B643
2002
Cited alongside, same era.
C. W. Bauer, D. Pirjol and I. W. Stewart, Soft collinear factorization in effective field theory , Phys. Rev. D65
2002
Cited alongside, same era.
L. W. Garland, T. Gehrmann, E. W. N. Glover, A. Koukoutsakis and E. Remiddi, The Two loop QCD matrix element for e + e − → e+e-\to 3 jets , Nucl. Phys. B627
2002
Cited alongside, same era.
L. W. Garland, T. Gehrmann, E. W. N. Glover, A. Koukoutsakis and E. Remiddi, Two loop QCD helicity amplitudes for e + e − → e+e-\to three jets , Nucl. Phys. B642
2002
Cited alongside, same era.
M. Beneke and T. Feldmann, Multipole expanded soft collinear effective theory with nonAbelian gauge symmetry , Phys. Lett. B553
2003

Then

T. Becher and M. Neubert, On the Structure of Infrared Singularities of Gauge-Theory Amplitudes , JHEP 06
Original
2013
Later among the works it cites.
S. M. Freedman and R. Goerke, Renormalization of Subleading Dijet Operators in Soft-Collinear Effective Theory , Phys. Rev. D90
Original
2014
Later among the works it cites.
N. A. Lo Presti, A. A. Almasy and A. Vogt, Leading large-x logarithms of the quark–gluon contributions to inclusive Higgs-boson and lepton-pair production , Phys. Lett. B737
Original
2014
Later among the works it cites.
D. Bonocore, E. Laenen, L. Magnea, L. Vernazza and C. D. White, The method of regions and next-to-soft corrections in Drell–Yan production , Phys. Lett. B742
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

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2019

The Soft Quark Sudakov

Moult, Ian, Stewart, Iain W., Vita, Gherardo et al.

Understand

There has been recent interest in understanding the all loop structure of the subleading power soft and collinear limits, with the goal of achieving a systematic resummation of subleading power infrared logarithms.

Most of this work has focused on subleading power corrections to soft gluon emission, whose form is strongly constrained by symmetries.
In this paper we initiate a study of the all loop structure of soft fermion emission.
In $\mathcal{N}=1$ QCD we perform an operator based factorization and resummation of the associated infrared logarithms, and prove that they exponentiate into a Sudakov due to their relation to soft gluon emission.

Built on

Q. Jin and G. Yang, Hidden Analytic Relations for Two-Loop Higgs Amplitudes in QCD , arXiv:1904.07260
Original
1904
Earlier work this paper cites.
C. Duhr, H. Johansson, G. Kälin, G. Mogull and B. Verbeek, The Full-Color Two-Loop Four-Gluon Amplitude in 𝒩 = 2 \mathcal{N}=2 Super-QCD , arXiv:1904.05299
Original
1904
Earlier work this paper cites.
M. van Beekveld, W. Beenakker, E. Laenen and C. D. White, Next-to-leading power threshold effects for inclusive and exclusive processes with final state jets , arXiv:1905.08741
Original
1905
Earlier work this paper cites.
M. van Beekveld, W. Beenakker, R. Basu, E. Laenen, A. Misra and P. Motylinski, Next-to-leading power threshold effects for resummed prompt photon production , Phys. Rev. D100
Original
1905
Earlier work this paper cites.
N. Bahjat-Abbas, D. Bonocore, J. Sinninghe Damsté, E. Laenen, L. Magnea, L. Vernazza et al., Diagrammatic resummation of leading-logarithmic threshold effects at next-to-leading power , arXiv:1905.13710
Original
1905
Earlier work this paper cites.
I. Moult, I. W. Stewart and G. Vita, Subleading Power Factorization with Radiative Functions , arXiv:1905.07411
Original
1905
Earlier work this paper cites.
L. J. Dixon, I. Moult and H. X. Zhu, Collinear limit of the energy-energy correlator , Phys. Rev. D100
Original
1905
Earlier work this paper cites.
M. Beneke, M. Garny, R. Szafron and J. Wang, Violation of the Kluberg-Stern-Zuber theorem in SCET , JHEP 09
Original
1907
Earlier work this paper cites.
R. Boughezal, A. Isgrò and F. Petriello, Next-to-leading power corrections to V + 1 V+1 jet production in N N -jettiness subtraction , arXiv:1907.12213
Original
1907
Earlier work this paper cites.
M. Beneke, C. Bobeth and R. Szafron, Power-enhanced leading-logarithmic QED corrections to B q → μ + μ − B_{q}\to\mu^{+}\mu^{-} , JHEP 10
Original
1908
Earlier work this paper cites.
M. Beneke, M. Garny, S. Jaskiewicz, R. Szafron, L. Vernazza and J. Wang, Leading-logarithmic threshold resummation of Higgs production in gluon fusion at next-to-leading power , arXiv:1910.12685
Original
1910
Earlier work this paper cites.
V. V. Sudakov, Vertex parts at very high-energies in quantum electrodynamics , Sov. Phys. JETP 3
1956
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.
T. H. Burnett and N. M. Kroll, Extension of the low soft photon theorem , Phys. Rev. Lett. 20
1968
Earlier work this paper cites.
E. Farhi, A QCD Test for Jets , Phys. Rev. Lett. 39
1977
Earlier work this paper cites.
G. P. Korchemsky and A. V. Radyushkin, Renormalization of the Wilson Loops Beyond the Leading Order , Nucl. Phys. B 283
1987
Earlier work this paper cites.
I. A. Korchemskaya and G. P. Korchemsky, On lightlike Wilson loops , Phys. Lett. B 287
1992
Earlier work this paper cites.
S. Catani, The Singular behavior of QCD amplitudes at two loop order , Phys. Lett. B427
1998
Earlier work this paper cites.
C. W. Bauer, S. Fleming and M. E. Luke, Summing Sudakov logarithms in B → X s γ B\to X_{s}\gamma in effective field theory , Phys. Rev. D63
2000
Earlier work this paper cites.
C. W. Bauer, S. Fleming, D. Pirjol and I. W. Stewart, An Effective field theory for collinear and soft gluons: Heavy to light decays , Phys. Rev. D63
2001
Earlier work this paper cites.
C. W. Bauer and I. W. Stewart, Invariant operators in collinear effective theory , Phys. Lett. B516
2001
Earlier work this paper cites.
A. V. Manohar, T. Mehen, D. Pirjol and I. W. Stewart, Reparameterization invariance for collinear operators , Phys. Lett. B539
2002
Earlier work this paper cites.

Similar

M. Beneke, A. P. Chapovsky, M. Diehl and T. Feldmann, Soft collinear effective theory and heavy to light currents beyond leading power , Nucl. Phys. B643
2002
Cited alongside, same era.
C. W. Bauer, D. Pirjol and I. W. Stewart, Soft collinear factorization in effective field theory , Phys. Rev. D65
2002
Cited alongside, same era.
L. W. Garland, T. Gehrmann, E. W. N. Glover, A. Koukoutsakis and E. Remiddi, The Two loop QCD matrix element for e + e − → e+e-\to 3 jets , Nucl. Phys. B627
2002
Cited alongside, same era.
L. W. Garland, T. Gehrmann, E. W. N. Glover, A. Koukoutsakis and E. Remiddi, Two loop QCD helicity amplitudes for e + e − → e+e-\to three jets , Nucl. Phys. B642
2002
Cited alongside, same era.
M. Beneke and T. Feldmann, Multipole expanded soft collinear effective theory with nonAbelian gauge symmetry , Phys. Lett. B553
2003

Then

T. Becher and M. Neubert, On the Structure of Infrared Singularities of Gauge-Theory Amplitudes , JHEP 06
Original
2013
Later among the works it cites.
S. M. Freedman and R. Goerke, Renormalization of Subleading Dijet Operators in Soft-Collinear Effective Theory , Phys. Rev. D90
Original
2014
Later among the works it cites.
N. A. Lo Presti, A. A. Almasy and A. Vogt, Leading large-x logarithms of the quark–gluon contributions to inclusive Higgs-boson and lepton-pair production , Phys. Lett. B737
Original
2014
Later among the works it cites.
D. Bonocore, E. Laenen, L. Magnea, L. Vernazza and C. D. White, The method of regions and next-to-soft corrections in Drell–Yan production , Phys. Lett. B742
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

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Cited alongside, same era.

C. W. Bauer, D. Pirjol and I. W. Stewart, On Power suppressed operators and gauge invariance in SCET , Phys. Rev. D68

2003

Cited alongside, same era.

D. Pirjol and I. W. Stewart, A Complete basis for power suppressed collinear ultrasoft operators , Phys. Rev. D67

2004

Cited alongside, same era.

R. J. Hill, T. Becher, S. J. Lee and M. Neubert, Sudakov resummation for subleading SCET currents and heavy-to-light form-factors , JHEP 07

2004

Cited alongside, same era.

Yu. L. Dokshitzer, G. Marchesini and G. P. Salam, Revisiting parton evolution and the large-x limit , Phys. Lett. B634

2006

Cited alongside, same era.

M. Trott and A. R. Williamson, Towards the anomalous dimension to O(Lambda(QCD)/M(b)) for phase space restricted anti-B → \to X(u) l anti-nu and anti-B → \to X(s) gamma , Phys. Rev. D74

2006

Cited alongside, same era.

A. V. Manohar and I. W. Stewart, The zero-bin and mode factorization in quantum field theory , Phys. Rev. D 76

2007

Cited alongside, same era.

E. Laenen, L. Magnea and G. Stavenga, On next-to-eikonal corrections to threshold resummation for the Drell-Yan and DIS cross sections , Phys. Lett. B669