Built on

C. Duhr and F. Dulat, PolyLogTools — polylogs for the masses , JHEP 08
Original
1904
Earlier work this paper cites.
T. Peraro, FiniteFlow: multivariate functional reconstruction using finite fields and dataflow graphs , JHEP 07
Original
1905
Earlier work this paper cites.
T. Peraro and L. Tancredi, Physical projectors for multi-leg helicity amplitudes , JHEP 07
Original
1906
Earlier work this paper cites.
M. Heller, A. von Manteuffel and R. M. Schabinger, Multiple polylogarithms with algebraic arguments and the two-loop EW-QCD Drell-Yan master integrals , 1907.00491
Original
1907
Earlier work this paper cites.
N. Nielsen, Der Eulersche Dilogarithmus und seine Verallgemeinerungen , Nova Acta Leopoldina (Halle) 90
1909
Earlier work this paper cites.
J. A. Lappo-Danilevsky, Théorie algorithmique des corps de Riemann , Rec. Math. Moscou 34
1927
Earlier work this paper cites.
N. Nakanishi, Graph theory and Feynman integrals , vol. 11 of Mathematics and its applications . Gordon and Breach, New York, 1971
1971
Earlier work this paper cites.
H. Georgi, S. Glashow, M. Machacek and D. V. Nanopoulos, Higgs Bosons from Two Gluon Annihilation in Proton Proton Collisions , Phys. Rev. Lett. 40
1978
Earlier work this paper cites.
F. Tkachov, A Theorem on Analytical Calculability of Four Loop Renormalization Group Functions , Phys.Lett. B100
1981
Earlier work this paper cites.
K. Chetyrkin and F. Tkachov, Integration by Parts: The Algorithm to Calculate beta Functions in 4 Loops , Nucl.Phys. B192
1981
Earlier work this paper cites.
L. Lewin, Polylogarithms and associated functions . North Holland, July, 1981
1981
Earlier work this paper cites.
G. Melançon and C. Reutenauer, Lyndon words, free algebras and shuffles , Canadian Journal of Mathematics 41
1989
Earlier work this paper cites.
A. Kotikov, Differential equations method: New technique for massive Feynman diagrams calculation , Phys.Lett. B254
1991
Earlier work this paper cites.
D. Graudenz, M. Spira and P. Zerwas, QCD corrections to Higgs boson production at proton proton colliders , Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
P. Nogueira, Automatic Feynman graph generation , J.Comput.Phys. 105
1993
Earlier work this paper cites.
M. Spira, A. Djouadi, D. Graudenz and P. Zerwas, Higgs boson production at the LHC , Nucl.Phys. B453
1995
Earlier work this paper cites.
L. J. Dixon, Calculating scattering amplitudes efficiently , in QCD and beyond. Proceedings, Theoretical Advanced Study Institute in Elementary Particle Physics, TASI-95, Boulder, USA, June 4-30, 1995 , pp. 539–584, 1996, hep-ph/9601359 , http://www-public.slac.stanford.edu/sciDoc/docMeta.aspx?slacPubNumber=SLAC-PUB-7106
1996
Earlier work this paper cites.
O. V. Tarasov, Connection between Feynman integrals having different values of the space-time dimension , Phys. Rev. D54
1996
Earlier work this paper cites.
E. Remiddi, Differential equations for Feynman graph amplitudes , Nuovo Cim. A110
1997
Earlier work this paper cites.
P. Baikov, Explicit solutions of the multiloop integral recurrence relations and its application , Nucl. Instrum. Meth. A 389
1997
Earlier work this paper cites.
E. Remiddi and J. Vermaseren, Harmonic polylogarithms , Int.J.Mod.Phys. A15
2000
Earlier work this paper cites.
T. Gehrmann and E. Remiddi, Differential equations for two loop four point functions , Nucl.Phys. B580
2000
Earlier work this paper cites.
S. Laporta, High precision calculation of multiloop Feynman integrals by difference equations , Int.J.Mod.Phys. A15
2000
Earlier work this paper cites.
M. L. Czakon and M. Niggetiedt, Exact quark-mass dependence of the Higgs-gluon form factor at three loops in QCD , JHEP 05
Original
2001
Earlier work this paper cites.
S. Catani, D. de Florian and M. Grazzini, Higgs production in hadron collisions: Soft and virtual QCD corrections at NNLO , JHEP 05
2001
Earlier work this paper cites.
R. V. Harlander and W. B. Kilgore, Next-to-next-to-leading order Higgs production at hadron colliders , Phys. Rev. Lett. 88
2002
Earlier work this paper cites.
C. Anastasiou and K. Melnikov, Higgs boson production at hadron colliders in NNLO QCD , Nucl. Phys. B 646
2002
Earlier work this paper cites.
J. Henn, B. Mistlberger, V. A. Smirnov and P. Wasser, Constructing d-log integrands and computing master integrals for three-loop four-particle scattering , JHEP 04
Original
2002
Earlier work this paper cites.
A. Smirnov and V. Smirnov, How to choose master integrals , 2002.08042
Original
2002
Earlier work this paper cites.

Similar

J. Usovitsch, Factorization of denominators in integration-by-parts reductions , 2002.08173
Original
2002
Cited alongside, same era.
T. Gehrmann and E. Remiddi, Numerical evaluation of two-dimensional harmonic polylogarithms , Comput.Phys.Commun. 144
2002
Cited alongside, same era.
C. W. Bauer, A. Frink and R. Kreckel, Introduction to the GiNaC framework for symbolic computation within the C++ programming language , J.Symb.Comput. 33
2002
Cited alongside, same era.
V. A. Smirnov, Applied asymptotic expansions in momenta and masses , Springer Tracts Mod.Phys. 177
2002
Cited alongside, same era.
V. Ravindran, J. Smith and W. L. van Neerven, NNLO corrections to the total cross-section for Higgs boson production in hadron hadron collisions , Nucl. Phys. B 665
2003
Cited alongside, same era.

Then

E. Panzer, On hyperlogarithms and Feynman integrals with divergences and many scales , JHEP 2014
Original
2014
Later among the works it cites.
C. Anastasiou, C. Duhr, F. Dulat, F. Herzog and B. Mistlberger, Higgs Boson Gluon-Fusion Production in QCD at Three Loops , Phys. Rev. Lett. 114
Original
2015
Later among the works it cites.
A. V. Smirnov, FIRE5: a C++ implementation of Feynman Integral REduction , Comput. Phys. Commun. 189
Original
2015
Later among the works it cites.
A. von Manteuffel, E. Panzer and R. M. Schabinger, A quasi-finite basis for multi-loop Feynman integrals , JHEP 02
Original
2015
Later among the works it cites.
T. Gehrmann, A. von Manteuffel and L. Tancredi, The two-loop helicity amplitudes for q q ¯ ′ → V 1 V 2 → 4 q\overline{q}^{\prime}\rightarrow V_{1}V_{2}\rightarrow 4 leptons , JHEP 2015

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2020

Two-loop mixed QCD-EW corrections to $gg \to Hg$

Bonetti, Marco, Panzer, Erik, Smirnov, Vladimir A. et al.

Understand

We compute the two-loop mixed QCD-Electroweak (QCD-EW) corrections to the production of a Higgs boson and a gluon in gluon fusion.

The relevant four-point functions with internal massive propagators are expressed as multiple polylogarithms with algebraic arguments.
We perform the calculation by integration over Feynman parameters and, independently, by the method of differential equations.
We compute the two independent helicity amplitudes for the process and we find that they are both finite.

Built on

C. Duhr and F. Dulat, PolyLogTools — polylogs for the masses , JHEP 08
Original
1904
Earlier work this paper cites.
T. Peraro, FiniteFlow: multivariate functional reconstruction using finite fields and dataflow graphs , JHEP 07
Original
1905
Earlier work this paper cites.
T. Peraro and L. Tancredi, Physical projectors for multi-leg helicity amplitudes , JHEP 07
Original
1906
Earlier work this paper cites.
M. Heller, A. von Manteuffel and R. M. Schabinger, Multiple polylogarithms with algebraic arguments and the two-loop EW-QCD Drell-Yan master integrals , 1907.00491
Original
1907
Earlier work this paper cites.
N. Nielsen, Der Eulersche Dilogarithmus und seine Verallgemeinerungen , Nova Acta Leopoldina (Halle) 90
1909
Earlier work this paper cites.
J. A. Lappo-Danilevsky, Théorie algorithmique des corps de Riemann , Rec. Math. Moscou 34
1927
Earlier work this paper cites.
N. Nakanishi, Graph theory and Feynman integrals , vol. 11 of Mathematics and its applications . Gordon and Breach, New York, 1971
1971
Earlier work this paper cites.
H. Georgi, S. Glashow, M. Machacek and D. V. Nanopoulos, Higgs Bosons from Two Gluon Annihilation in Proton Proton Collisions , Phys. Rev. Lett. 40
1978
Earlier work this paper cites.
F. Tkachov, A Theorem on Analytical Calculability of Four Loop Renormalization Group Functions , Phys.Lett. B100
1981
Earlier work this paper cites.
K. Chetyrkin and F. Tkachov, Integration by Parts: The Algorithm to Calculate beta Functions in 4 Loops , Nucl.Phys. B192
1981
Earlier work this paper cites.
L. Lewin, Polylogarithms and associated functions . North Holland, July, 1981
1981
Earlier work this paper cites.
G. Melançon and C. Reutenauer, Lyndon words, free algebras and shuffles , Canadian Journal of Mathematics 41
1989
Earlier work this paper cites.
A. Kotikov, Differential equations method: New technique for massive Feynman diagrams calculation , Phys.Lett. B254
1991
Earlier work this paper cites.
D. Graudenz, M. Spira and P. Zerwas, QCD corrections to Higgs boson production at proton proton colliders , Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
P. Nogueira, Automatic Feynman graph generation , J.Comput.Phys. 105
1993
Earlier work this paper cites.
M. Spira, A. Djouadi, D. Graudenz and P. Zerwas, Higgs boson production at the LHC , Nucl.Phys. B453
1995
Earlier work this paper cites.
L. J. Dixon, Calculating scattering amplitudes efficiently , in QCD and beyond. Proceedings, Theoretical Advanced Study Institute in Elementary Particle Physics, TASI-95, Boulder, USA, June 4-30, 1995 , pp. 539–584, 1996, hep-ph/9601359 , http://www-public.slac.stanford.edu/sciDoc/docMeta.aspx?slacPubNumber=SLAC-PUB-7106
1996
Earlier work this paper cites.
O. V. Tarasov, Connection between Feynman integrals having different values of the space-time dimension , Phys. Rev. D54
1996
Earlier work this paper cites.
E. Remiddi, Differential equations for Feynman graph amplitudes , Nuovo Cim. A110
1997
Earlier work this paper cites.
P. Baikov, Explicit solutions of the multiloop integral recurrence relations and its application , Nucl. Instrum. Meth. A 389
1997
Earlier work this paper cites.
E. Remiddi and J. Vermaseren, Harmonic polylogarithms , Int.J.Mod.Phys. A15
2000
Earlier work this paper cites.
T. Gehrmann and E. Remiddi, Differential equations for two loop four point functions , Nucl.Phys. B580
2000
Earlier work this paper cites.
S. Laporta, High precision calculation of multiloop Feynman integrals by difference equations , Int.J.Mod.Phys. A15
2000
Earlier work this paper cites.
M. L. Czakon and M. Niggetiedt, Exact quark-mass dependence of the Higgs-gluon form factor at three loops in QCD , JHEP 05
Original
2001
Earlier work this paper cites.
S. Catani, D. de Florian and M. Grazzini, Higgs production in hadron collisions: Soft and virtual QCD corrections at NNLO , JHEP 05
2001
Earlier work this paper cites.
R. V. Harlander and W. B. Kilgore, Next-to-next-to-leading order Higgs production at hadron colliders , Phys. Rev. Lett. 88
2002
Earlier work this paper cites.
C. Anastasiou and K. Melnikov, Higgs boson production at hadron colliders in NNLO QCD , Nucl. Phys. B 646
2002
Earlier work this paper cites.
J. Henn, B. Mistlberger, V. A. Smirnov and P. Wasser, Constructing d-log integrands and computing master integrals for three-loop four-particle scattering , JHEP 04
Original
2002
Earlier work this paper cites.
A. Smirnov and V. Smirnov, How to choose master integrals , 2002.08042
Original
2002
Earlier work this paper cites.

Similar

J. Usovitsch, Factorization of denominators in integration-by-parts reductions , 2002.08173
Original
2002
Cited alongside, same era.
T. Gehrmann and E. Remiddi, Numerical evaluation of two-dimensional harmonic polylogarithms , Comput.Phys.Commun. 144
2002
Cited alongside, same era.
C. W. Bauer, A. Frink and R. Kreckel, Introduction to the GiNaC framework for symbolic computation within the C++ programming language , J.Symb.Comput. 33
2002
Cited alongside, same era.
V. A. Smirnov, Applied asymptotic expansions in momenta and masses , Springer Tracts Mod.Phys. 177
2002
Cited alongside, same era.
V. Ravindran, J. Smith and W. L. van Neerven, NNLO corrections to the total cross-section for Higgs boson production in hadron hadron collisions , Nucl. Phys. B 665
2003
Cited alongside, same era.