Built on

M. Delto and K. Melnikov, Integrated triple-collinear counter-terms for the nested soft-collinear subtraction scheme , JHEP 05
Original
1901
Earlier work this paper cites.
F. Driencourt-Mangin, G. Rodrigo, G. F. Sborlini and W. J. Torres Bobadilla, Universal four-dimensional representation of H → γ γ H\to\gamma\gamma at two loops through the Loop-Tree Duality , JHEP 02
Original
1901
Earlier work this paper cites.
F. Caola, K. Melnikov and R. Röntsch, Analytic results for color-singlet production at NNLO QCD with the nested soft-collinear subtraction scheme , Eur. Phys. J. C 79
Original
1902
Earlier work this paper cites.
J. J. Aguilera-Verdugo, F. Driencourt-Mangin, J. Plenter, S. Ramírez-Uribe, G. Rodrigo, G. F. Sborlini, W. J. Torres Bobadilla and S. Tracz, Causality, unitarity thresholds, anomalous thresholds and infrared singularities from the loop-tree duality at higher orders , JHEP 12
Original
1904
Earlier work this paper cites.
M. Czakon, A. van Hameren, A. Mitov and R. Poncelet, Single-jet inclusive rates with exact color at 𝒪 \mathcal{O} ( α s 4 {\alpha}_{s}^{4} ) , JHEP 10
Original
1907
Earlier work this paper cites.
F. Caola, K. Melnikov and R. Röntsch, Analytic results for decays of color singlets to g g gg and q q ¯ q\bar{q} final states at NNLO QCD with the nested soft-collinear subtraction scheme , Eur. Phys. J. C 79
Original
1907
Earlier work this paper cites.
P. Bolzoni, G. Somogyi and Z. Trocsanyi, A subtraction scheme for computing QCD jet cross sections at NNLO: integrating the iterated singly-unresolved subtraction terms , JHEP 01
Original
1909
Earlier work this paper cites.
Z. Capatti, V. Hirschi, D. Kermanschah, A. Pelloni and B. Ruijl, Numerical Loop-Tree Duality: contour deformation and subtraction , JHEP 04
Original
1912
Earlier work this paper cites.
F. Englert and R. Brout, Broken Symmetry and the Mass of Gauge Vector Mesons , Phys. Rev. Lett. 13
1964
Earlier work this paper cites.
P. W. Higgs, Spontaneous Symmetry Breakdown without Massless Bosons , Phys. Rev. 145
1966
Earlier work this paper cites.
G. Altarelli and G. Parisi, Asymptotic Freedom in Parton Language , Nucl. Phys. B 126
1977
Earlier work this paper cites.
A. Bassetto, M. Ciafaloni and G. Marchesini, Jet Structure and Infrared Sensitive Quantities in Perturbative QCD , Phys. Rept. 100
1983
Earlier work this paper cites.
S. Catani, L. Trentadue, G. Turnock and B. Webber, Resummation of large logarithms in e+ e- event shape distributions , Nucl. Phys. B 407
1993
Earlier work this paper cites.
Z. Kunszt, A. Signer and Z. Trocsanyi, Singular terms of helicity amplitudes at one loop in QCD and the soft limit of the cross-sections of multiparton processes , Nucl. Phys. B 420
1994
Earlier work this paper cites.
S. Frixione, Z. Kunszt and A. Signer, Three jet cross-sections to next-to-leading order , Nucl. Phys. B467
1996
Earlier work this paper cites.
S. Catani and M. H. Seymour, A General algorithm for calculating jet cross-sections in NLO QCD , Nucl. Phys. B485
1997
Earlier work this paper cites.
S. Keller and E. Laenen, Next-to-leading order cross-sections for tagged reactions , Phys. Rev. D 59
1999
Earlier work this paper cites.
J. J. Aguilera-Verdugo, F. Driencourt-Mangin, R. J. Hernández-Pinto, J. Plenter, S. Ramirez-Uribe, A. E. Renteria Olivo, G. Rodrigo, G. F. Sborlini, W. J. Torres Bobadilla and S. Tracz, Open Loop Amplitudes and Causality to All Orders and Powers from the Loop-Tree Duality , Phys. Rev. Lett. 124
Original
2001
Earlier work this paper cites.
S. Catani, S. Dittmaier and Z. Trocsanyi, One loop singular behavior of QCD and SUSY QCD amplitudes with massive partons , Phys. Lett. B 500
2001
Earlier work this paper cites.
S. Catani, S. Dittmaier, M. H. Seymour and Z. Trocsanyi, The Dipole formalism for next-to-leading order QCD calculations with massive partons , Nucl. Phys. B627
2002
Earlier work this paper cites.
J. M. Campbell, R. K. Ellis and F. Tramontano, Single top production and decay at next-to-leading order , Phys. Rev. D 70
2004
Earlier work this paper cites.
A. Gehrmann-De Ridder, T. Gehrmann and E. N. Glover, Antenna subtraction at NNLO , JHEP 0509
2005
Earlier work this paper cites.
A. Gehrmann-De Ridder, T. Gehrmann and E. W. N. Glover, Gluon-gluon antenna functions from Higgs boson decay , Phys. Lett. B612
2005
Earlier work this paper cites.
A. Gehrmann-De Ridder, T. Gehrmann and E. W. N. Glover, Quark-gluon antenna functions from neutralino decay , Phys. Lett. B612
2005
Earlier work this paper cites.

Similar

G. Somogyi, Z. Trocsanyi and V. Del Duca, Matching of singly- and doubly-unresolved limits of tree-level QCD squared matrix elements , JHEP 06
2005
Cited alongside, same era.
S. Ramírez-Uribe, R. J. Hernández-Pinto, G. Rodrigo, G. F. Sborlini and W. J. Torres Bobadilla, Universal opening of four-loop scattering amplitudes to trees , 2006.13818
Original
2006
Cited alongside, same era.
J. J. Aguilera-Verdugo, R. J. Hernandez-Pinto, G. Rodrigo, G. F. Sborlini and W. J. Torres Bobadilla, Causal representation of multi-loop amplitudes within the loop-tree duality , 2006.11217
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2006
Cited alongside, same era.
A. Denner and S. Dittmaier, Reduction schemes for one-loop tensor integrals , Nucl. Phys. B 734
2006
Cited alongside, same era.
S. Catani and M. Grazzini, An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC , Phys.Rev.Lett. 98

Then

M. Czakon, Double-real radiation in hadronic top quark pair production as a proof of a certain concept , Nucl.Phys. B849
Original
2011
Later among the works it cites.
A. Gehrmann-De Ridder, T. Gehrmann and M. Ritzmann, Antenna subtraction at NNLO with hadronic initial states: double real initial-initial configurations , JHEP 10
Original
2012
Later among the works it cites.
W. Torres Bobadilla et al., May the four be with you: Novel IR-subtraction methods to tackle NNLO calculations , 2012.02567
Original
2012
Later among the works it cites.
J. Currie, E. Glover and S. Wells, Infrared Structure at NNLO Using Antenna Subtraction , JHEP 1304
Original
2013
Later among the works it cites.
V. Del Duca, G. Somogyi and Z. Trocsanyi, Integration of collinear-type doubly unresolved counterterms in NNLO jet cross sections , JHEP 06

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2020

Dual Subtractions

Prisco, Renato Maria, Tramontano, Francesco

Understand

We propose a novel local subtraction scheme for the computation of Next-to-Leading Order contributions to theoretical predictions for scattering processes in perturbative Quantum Field Theory.

With respect to well known schemes proposed since many years that build upon the analysis of the real radiation matrix elements, our construction starts from the loop diagrams and exploit their loop-tree dual representation.
Our scheme implements exact phase space factorization, handles final state as well as initial state singularities and is suitable for both massless and massive particles.

Built on

M. Delto and K. Melnikov, Integrated triple-collinear counter-terms for the nested soft-collinear subtraction scheme , JHEP 05
Original
1901
Earlier work this paper cites.
F. Driencourt-Mangin, G. Rodrigo, G. F. Sborlini and W. J. Torres Bobadilla, Universal four-dimensional representation of H → γ γ H\to\gamma\gamma at two loops through the Loop-Tree Duality , JHEP 02
Original
1901
Earlier work this paper cites.
F. Caola, K. Melnikov and R. Röntsch, Analytic results for color-singlet production at NNLO QCD with the nested soft-collinear subtraction scheme , Eur. Phys. J. C 79
Original
1902
Earlier work this paper cites.
J. J. Aguilera-Verdugo, F. Driencourt-Mangin, J. Plenter, S. Ramírez-Uribe, G. Rodrigo, G. F. Sborlini, W. J. Torres Bobadilla and S. Tracz, Causality, unitarity thresholds, anomalous thresholds and infrared singularities from the loop-tree duality at higher orders , JHEP 12
Original
1904
Earlier work this paper cites.
M. Czakon, A. van Hameren, A. Mitov and R. Poncelet, Single-jet inclusive rates with exact color at 𝒪 \mathcal{O} ( α s 4 {\alpha}_{s}^{4} ) , JHEP 10
Original
1907
Earlier work this paper cites.
F. Caola, K. Melnikov and R. Röntsch, Analytic results for decays of color singlets to g g gg and q q ¯ q\bar{q} final states at NNLO QCD with the nested soft-collinear subtraction scheme , Eur. Phys. J. C 79
Original
1907
Earlier work this paper cites.
P. Bolzoni, G. Somogyi and Z. Trocsanyi, A subtraction scheme for computing QCD jet cross sections at NNLO: integrating the iterated singly-unresolved subtraction terms , JHEP 01
Original
1909
Earlier work this paper cites.
Z. Capatti, V. Hirschi, D. Kermanschah, A. Pelloni and B. Ruijl, Numerical Loop-Tree Duality: contour deformation and subtraction , JHEP 04
Original
1912
Earlier work this paper cites.
F. Englert and R. Brout, Broken Symmetry and the Mass of Gauge Vector Mesons , Phys. Rev. Lett. 13
1964
Earlier work this paper cites.
P. W. Higgs, Spontaneous Symmetry Breakdown without Massless Bosons , Phys. Rev. 145
1966
Earlier work this paper cites.
G. Altarelli and G. Parisi, Asymptotic Freedom in Parton Language , Nucl. Phys. B 126
1977
Earlier work this paper cites.
A. Bassetto, M. Ciafaloni and G. Marchesini, Jet Structure and Infrared Sensitive Quantities in Perturbative QCD , Phys. Rept. 100
1983
Earlier work this paper cites.
S. Catani, L. Trentadue, G. Turnock and B. Webber, Resummation of large logarithms in e+ e- event shape distributions , Nucl. Phys. B 407
1993
Earlier work this paper cites.
Z. Kunszt, A. Signer and Z. Trocsanyi, Singular terms of helicity amplitudes at one loop in QCD and the soft limit of the cross-sections of multiparton processes , Nucl. Phys. B 420
1994
Earlier work this paper cites.
S. Frixione, Z. Kunszt and A. Signer, Three jet cross-sections to next-to-leading order , Nucl. Phys. B467
1996
Earlier work this paper cites.
S. Catani and M. H. Seymour, A General algorithm for calculating jet cross-sections in NLO QCD , Nucl. Phys. B485
1997
Earlier work this paper cites.
S. Keller and E. Laenen, Next-to-leading order cross-sections for tagged reactions , Phys. Rev. D 59
1999
Earlier work this paper cites.
J. J. Aguilera-Verdugo, F. Driencourt-Mangin, R. J. Hernández-Pinto, J. Plenter, S. Ramirez-Uribe, A. E. Renteria Olivo, G. Rodrigo, G. F. Sborlini, W. J. Torres Bobadilla and S. Tracz, Open Loop Amplitudes and Causality to All Orders and Powers from the Loop-Tree Duality , Phys. Rev. Lett. 124
Original
2001
Earlier work this paper cites.
S. Catani, S. Dittmaier and Z. Trocsanyi, One loop singular behavior of QCD and SUSY QCD amplitudes with massive partons , Phys. Lett. B 500
2001
Earlier work this paper cites.
S. Catani, S. Dittmaier, M. H. Seymour and Z. Trocsanyi, The Dipole formalism for next-to-leading order QCD calculations with massive partons , Nucl. Phys. B627
2002
Earlier work this paper cites.
J. M. Campbell, R. K. Ellis and F. Tramontano, Single top production and decay at next-to-leading order , Phys. Rev. D 70
2004
Earlier work this paper cites.
A. Gehrmann-De Ridder, T. Gehrmann and E. N. Glover, Antenna subtraction at NNLO , JHEP 0509
2005
Earlier work this paper cites.
A. Gehrmann-De Ridder, T. Gehrmann and E. W. N. Glover, Gluon-gluon antenna functions from Higgs boson decay , Phys. Lett. B612
2005
Earlier work this paper cites.
A. Gehrmann-De Ridder, T. Gehrmann and E. W. N. Glover, Quark-gluon antenna functions from neutralino decay , Phys. Lett. B612
2005
Earlier work this paper cites.

Similar

G. Somogyi, Z. Trocsanyi and V. Del Duca, Matching of singly- and doubly-unresolved limits of tree-level QCD squared matrix elements , JHEP 06
2005
Cited alongside, same era.
S. Ramírez-Uribe, R. J. Hernández-Pinto, G. Rodrigo, G. F. Sborlini and W. J. Torres Bobadilla, Universal opening of four-loop scattering amplitudes to trees , 2006.13818
Original
2006
Cited alongside, same era.
J. J. Aguilera-Verdugo, R. J. Hernandez-Pinto, G. Rodrigo, G. F. Sborlini and W. J. Torres Bobadilla, Causal representation of multi-loop amplitudes within the loop-tree duality , 2006.11217
Original
2006
Cited alongside, same era.
A. Denner and S. Dittmaier, Reduction schemes for one-loop tensor integrals , Nucl. Phys. B 734
2006
Cited alongside, same era.
S. Catani and M. Grazzini, An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC , Phys.Rev.Lett. 98

Then

M. Czakon, Double-real radiation in hadronic top quark pair production as a proof of a certain concept , Nucl.Phys. B849
Original
2011
Later among the works it cites.
A. Gehrmann-De Ridder, T. Gehrmann and M. Ritzmann, Antenna subtraction at NNLO with hadronic initial states: double real initial-initial configurations , JHEP 10
Original
2012
Later among the works it cites.
W. Torres Bobadilla et al., May the four be with you: Novel IR-subtraction methods to tackle NNLO calculations , 2012.02567
Original
2012
Later among the works it cites.
J. Currie, E. Glover and S. Wells, Infrared Structure at NNLO Using Antenna Subtraction , JHEP 1304
Original
2013
Later among the works it cites.
V. Del Duca, G. Somogyi and Z. Trocsanyi, Integration of collinear-type doubly unresolved counterterms in NNLO jet cross sections , 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…

2007

Cited alongside, same era.

A. Daleo, T. Gehrmann and D. Maitre, Antenna subtraction with hadronic initial states , JHEP 0704

2007

Cited alongside, same era.

G. Somogyi, Z. Trócsányi and V. Del Duca, A Subtraction scheme for computing QCD jet cross sections at NNLO: Regularization of doubly-real emissions , JHEP 0701

2007

Cited alongside, same era.

G. Somogyi and Z. Trócsányi, A Subtraction scheme for computing QCD jet cross sections at NNLO: Regularization of real-virtual emission , JHEP 0701

2007

Cited alongside, same era.

G. Somogyi and Z. Trocsanyi, A Subtraction scheme for computing QCD jet cross sections at NNLO: Integrating the subtraction terms. I. , JHEP 08