Built on

HL/HE WG2 group
Original
1902
Earlier work this paper cites.
R. Mondini, M. Schiavi, and C. Williams, N 3
Original
1904
Earlier work this paper cites.
C. Duhr and F. Dulat, PolyLogTools - Polylogs for the masses
Original
1904
Earlier work this paper cites.
J. Davies, R. Gröber, A. Maier, T. Rauh, and M. Steinhauser, Top quark mass dependence of the Higgs boson-gluon form factor at three loops
Original
1906
Earlier work this paper cites.
R. V. Harlander, M. Prausa, and J. Usovitsch, The light-fermion contribution to the exact Higgs-gluon form factor in QCD
Original
1907
Earlier work this paper cites.
R. Bonciani, V. Del Duca, H. Frellesvig, J. M. Henn, M. Hidding, L. Maestri, F. Moriello, G. Salvatori, and V. A. Smirnov, Evaluating two-loop non-planar master integrals for Higgs + jet production with full heavy-quark mass dependence
Original
1907
Earlier work this paper cites.
H. Frellesvig, M. Hidding, L. Maestri, F. Moriello, and G. Salvatori, The complete set of two-loop master integrals for Higgs + jet production in QCD
Original
1911
Earlier work this paper cites.
A. Behring and W. Bizon, Higgs decay into massive b-quarks at NNLO QCD in the nested soft-collinear subtraction scheme
Original
1911
Earlier work this paper cites.
K.-T. Chen, Iterated path integrals
1977
Earlier work this paper cites.
J. C. Collins, F. Wilczek, and A. Zee, Low-Energy Manifestations of Heavy Particles: Application to the Neutral Current
1978
Earlier work this paper cites.
K. G. Chetyrkin and F. V. Tkachov, Integration by Parts: The Algorithm to Calculate beta Functions in 4 Loops
1981
Earlier work this paper cites.
F. V. Tkachov, A Theorem on Analytical Calculability of Four Loop Renormalization Group Functions
1981
Earlier work this paper cites.
T. Inami, T. Kubota, and Y. Okada, Effective Gauge Theory and the Effect of Heavy Quarks in Higgs Boson Decays
1983
Earlier work this paper cites.
A. V. Kotikov, Differential equations method: New technique for massive Feynman diagrams calculation
1991
Earlier work this paper cites.
P. Nogueira, Automatic Feynman graph generation
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
1994
Earlier work this paper cites.
M. Spira, A. Djouadi, D. Graudenz, and P. M. Zerwas, Higgs boson production at the LHC
1995
Earlier work this paper cites.
K. G. Chetyrkin, B. A. Kniehl, and M. Steinhauser, Virtual top quark effects on the H —¿ b anti-b decay at next-to-leading order in QCD
1997
Earlier work this paper cites.
K. G. Chetyrkin, B. A. Kniehl, and M. Steinhauser, Three loop O (alpha-s**2 G(F) M(t)**2) corrections to hadronic Higgs decays
1997
Earlier work this paper cites.
E. Remiddi and J. A. M. Vermaseren, Harmonic polylogarithms
2000
Earlier work this paper cites.
T. Gehrmann and E. Remiddi, Differential equations for two loop four point functions
2000
Earlier work this paper cites.
C. W. Bauer, A. Frink, and R. Kreckel, Introduction to the GiNaC framework for symbolic computation within the C++ programming language
2000
Earlier work this paper cites.

Similar

M. Czakon and M. Niggetiedt, Exact quark-mass dependence of the Higgs-gluon form factor at three loops in QCD
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S. Catani, S. Dittmaier, and Z. Trocsanyi, One loop singular behavior of QCD and SUSY QCD amplitudes with massive partons
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Then

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E. Panzer, Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
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C. Anastasiou, C. Duhr, F. Dulat, E. Furlan, T. Gehrmann, F. Herzog, A. Lazopoulos, and B. Mistlberger, High precision determination of the gluon fusion Higgs boson cross-section at the LHC
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Later among the works it cites.
R. Bonciani, V. Del Duca, H. Frellesvig, J. M. Henn, F. Moriello, and V. A. Smirnov, Two-loop planar master integrals for Higgs → 3 \to 3 partons with full heavy-quark mass dependence

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Reading the bibliography…

2020

Quark mass effects in two-loop Higgs amplitudes

Anastasiou, Charalampos, Deutschmann, Nicolas, Schweitzer, Armin

Understand

We provide two two-loop amplitudes relevant for precision Higgs physics.

The first is the two-loop amplitude for Higgs boson production through gluon fusion with exact dependence on the top quark mass up to squared order in the dimensional regulator $\epsilon$.
The second result we provide is the two-loop amplitude for the decay of a Higgs boson into a pair of massive bottom quarks through the Higgs-to-gluon coupling in the infinite top mass limit.
Both amplitudes are computed by finding canonical bases of master integrals, which we evaluate explicitly in terms of harmonic polylogarithms.

Built on

HL/HE WG2 group
Original
1902
Earlier work this paper cites.
R. Mondini, M. Schiavi, and C. Williams, N 3
Original
1904
Earlier work this paper cites.
C. Duhr and F. Dulat, PolyLogTools - Polylogs for the masses
Original
1904
Earlier work this paper cites.
J. Davies, R. Gröber, A. Maier, T. Rauh, and M. Steinhauser, Top quark mass dependence of the Higgs boson-gluon form factor at three loops
Original
1906
Earlier work this paper cites.
R. V. Harlander, M. Prausa, and J. Usovitsch, The light-fermion contribution to the exact Higgs-gluon form factor in QCD
Original
1907
Earlier work this paper cites.
R. Bonciani, V. Del Duca, H. Frellesvig, J. M. Henn, M. Hidding, L. Maestri, F. Moriello, G. Salvatori, and V. A. Smirnov, Evaluating two-loop non-planar master integrals for Higgs + jet production with full heavy-quark mass dependence
Original
1907
Earlier work this paper cites.
H. Frellesvig, M. Hidding, L. Maestri, F. Moriello, and G. Salvatori, The complete set of two-loop master integrals for Higgs + jet production in QCD
Original
1911
Earlier work this paper cites.
A. Behring and W. Bizon, Higgs decay into massive b-quarks at NNLO QCD in the nested soft-collinear subtraction scheme
Original
1911
Earlier work this paper cites.
K.-T. Chen, Iterated path integrals
1977
Earlier work this paper cites.
J. C. Collins, F. Wilczek, and A. Zee, Low-Energy Manifestations of Heavy Particles: Application to the Neutral Current
1978
Earlier work this paper cites.
K. G. Chetyrkin and F. V. Tkachov, Integration by Parts: The Algorithm to Calculate beta Functions in 4 Loops
1981
Earlier work this paper cites.
F. V. Tkachov, A Theorem on Analytical Calculability of Four Loop Renormalization Group Functions
1981
Earlier work this paper cites.
T. Inami, T. Kubota, and Y. Okada, Effective Gauge Theory and the Effect of Heavy Quarks in Higgs Boson Decays
1983
Earlier work this paper cites.
A. V. Kotikov, Differential equations method: New technique for massive Feynman diagrams calculation
1991
Earlier work this paper cites.
P. Nogueira, Automatic Feynman graph generation
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
1994
Earlier work this paper cites.
M. Spira, A. Djouadi, D. Graudenz, and P. M. Zerwas, Higgs boson production at the LHC
1995
Earlier work this paper cites.
K. G. Chetyrkin, B. A. Kniehl, and M. Steinhauser, Virtual top quark effects on the H —¿ b anti-b decay at next-to-leading order in QCD
1997
Earlier work this paper cites.
K. G. Chetyrkin, B. A. Kniehl, and M. Steinhauser, Three loop O (alpha-s**2 G(F) M(t)**2) corrections to hadronic Higgs decays
1997
Earlier work this paper cites.
E. Remiddi and J. A. M. Vermaseren, Harmonic polylogarithms
2000
Earlier work this paper cites.
T. Gehrmann and E. Remiddi, Differential equations for two loop four point functions
2000
Earlier work this paper cites.
C. W. Bauer, A. Frink, and R. Kreckel, Introduction to the GiNaC framework for symbolic computation within the C++ programming language
2000
Earlier work this paper cites.

Similar

M. Czakon and M. Niggetiedt, Exact quark-mass dependence of the Higgs-gluon form factor at three loops in QCD
Original
2001
Cited alongside, same era.
S. Catani, S. Dittmaier, and Z. Trocsanyi, One loop singular behavior of QCD and SUSY QCD amplitudes with massive partons
2001
Cited alongside, same era.
C. Anastasiou and A. Lazopoulos, Automatic integral reduction for higher order perturbative calculations
2004
Cited alongside, same era.
C. Anastasiou and A. Penin, Light Quark Mediated Higgs Boson Threshold Production in the Next-to-Leading Logarithmic Approximation
Original
2004
Cited alongside, same era.
R. Bonciani, P. Mastrolia, and E. Remiddi, Master integrals for the two loop QCD virtual corrections to the forward backward asymmetry
2004
Cited alongside, same era.

Then

V. Del Duca, C. Duhr, G. Somogyi, F. Tramontano, and Z. Trócsányi, Higgs boson decay into b-quarks at NNLO accuracy
Original
2015
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
Original
2015
Later among the works it cites.
E. Panzer, Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
Original
2015
Later among the works it cites.
C. Anastasiou, C. Duhr, F. Dulat, E. Furlan, T. Gehrmann, F. Herzog, A. Lazopoulos, and B. Mistlberger, High precision determination of the gluon fusion Higgs boson cross-section at the LHC
Original
2016
Later among the works it cites.
R. Bonciani, V. Del Duca, H. Frellesvig, J. M. Henn, F. Moriello, and V. A. Smirnov, Two-loop planar master integrals for Higgs → 3 \to 3 partons with full heavy-quark mass dependence

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

R. Bonciani, P. Mastrolia, and E. Remiddi, Vertex diagrams for the QED form-factors at the two loop level

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K. G. Chetyrkin, Four-loop renormalization of QCD: Full set of renormalization constants and anomalous dimensions

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J. Vollinga and S. Weinzierl, Numerical evaluation of multiple polylogarithms

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U. Aglietti, R. Bonciani, G. Degrassi, and A. Vicini, Analytic Results for Virtual QCD Corrections to Higgs Production and Decay

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A. Pak, M. Rogal, and M. Steinhauser, Finite top quark mass effects in NNLO Higgs boson production at LHC

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Later among the works it cites.