Built on

K. O. Mikaelian, M. A. Samuel, and D. Sahdev, The Magnetic Moment of Weak Bosons Produced in p p and p anti-p Collisions
1979
Earlier work this paper cites.
J. C. Collins, D. E. Soper, and G. F. Sterman, Transverse Momentum Distribution in Drell-Yan Pair and W and Z Boson Production
1985
Earlier work this paper cites.
S. Catani, Y. L. Dokshitzer, M. H. Seymour, and B. R. Webber, Longitudinally invariant K t K_{t} clustering algorithms for hadron hadron collisions
1993
Earlier work this paper cites.
U. Baur, T. Han, and J. Ohnemus, Amplitude zeros in W ± Z W^{\pm}Z production
1994
Earlier work this paper cites.
S. Catani and M. Seymour, The Dipole formalism for the calculation of QCD jet cross-sections at next-to-leading order
1996
Earlier work this paper cites.
S. Frixione, Z. Kunszt, and A. Signer, Three jet cross-sections to next-to-leading order
1996
Earlier work this paper cites.
S. Catani and M. Seymour, A General algorithm for calculating jet cross-sections in NLO QCD
1997
Earlier work this paper cites.
S. Frixione, A General approach to jet cross-sections in QCD
1997
Earlier work this paper cites.
Y. L. Dokshitzer, G. D. Leder, S. Moretti, and B. R. Webber, Better jet clustering algorithms
1997
Earlier work this paper cites.
S. Frixione and G. Ridolfi, Jet photoproduction at HERA
1997
Earlier work this paper cites.
D. A. Kosower, Antenna factorization of gauge theory amplitudes
1998
Earlier work this paper cites.
hep-ph/9907280
M. Wobisch and T. Wengler, Hadronization corrections to jet cross-sections in deep inelastic scattering · 1998
Earlier work this paper cites.
S. Frixione, Isolated photons in perturbative QCD
1998
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.
D. de Florian and M. Grazzini, The Structure of large logarithmic corrections at small transverse momentum in hadronic collisions
2001
Earlier work this paper cites.
R. Hamberg, W. L. van Neerven, and T. Matsuura, A complete calculation of the order α s 2 \alpha_{s}^{2} correction to the Drell-Yan K K factor
2002
Earlier work this paper cites.
R. V. Harlander and W. B. Kilgore, Next-to-next-to-leading order Higgs production at hadron colliders
2002
Earlier work this paper cites.
C. Anastasiou and K. Melnikov, Higgs boson production at hadron colliders in NNLO QCD
2002
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
2002
Earlier work this paper cites.
C. Anastasiou, E. W. N. Glover, and M. E. Tejeda-Yeomans, Two loop QED and QCD corrections to massless fermion boson scattering
2002
Earlier work this paper cites.
V. Ravindran, J. Smith, and W. L. van Neerven, NNLO corrections to the total cross-section for Higgs boson production in hadron hadron collisions
2003
Earlier work this paper cites.
R. V. Harlander and W. B. Kilgore, Higgs boson production in bottom quark fusion at next-to-next-to leading order
2003
Earlier work this paper cites.
C. Anastasiou, L. J. Dixon, K. Melnikov, and F. Petriello, High precision QCD at hadron colliders: Electroweak gauge boson rapidity distributions at NNLO
2004
Earlier work this paper cites.
P. Z. Skands et al., SUSY Les Houches accord: Interfacing SUSY spectrum calculators, decay packages, and event generators
2004
Earlier work this paper cites.
C. Anastasiou, K. Melnikov, and F. Petriello, Fully differential Higgs boson production and the di-photon signal through next-to-next-to-leading order
2005
Earlier work this paper cites.
A. Gehrmann-De Ridder, T. Gehrmann, and E. W. N. Glover, Antenna subtraction at NNLO
2005
Earlier work this paper cites.
G. Somogyi, Z. Trocsanyi, and V. Del Duca, Matching of singly- and doubly-unresolved limits of tree-level QCD squared matrix elements
2005
Earlier work this paper cites.
K. Melnikov and F. Petriello, Electroweak gauge boson production at hadron colliders through 𝒪 ⁡ ( α S 2 ) \mathcal{O}(\alpha_{S}^{2})
2006
Earlier work this paper cites.
G. Bozzi, S. Catani, D. de Florian, and M. Grazzini, Transverse-momentum resummation and the spectrum of the Higgs boson at the LHC
2006
Earlier work this paper cites.
S. Catani and M. Grazzini, An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
2007
Earlier work this paper cites.
C. Anastasiou, G. Dissertori, and F. Stöckli, NNLO QCD predictions for the H → W W → ℓ ν ℓ ν H\to WW\to\ell\nu\ell\nu signal at the LHC
Original
2007
Earlier work this paper cites.
A. Daleo, T. Gehrmann, and D. Maitre, Antenna subtraction with hadronic initial states
2007
Earlier work this paper cites.
S. Marzani, R. D. Ball, V. Del Duca, S. Forte, and A. Vicini, Higgs production via gluon-gluon fusion with finite top mass beyond next-to-leading order
Original
2008
Earlier work this paper cites.
G. Ossola, C. G. Papadopoulos, and R. Pittau, CutTools: A Program implementing the OPP reduction method to compute one-loop amplitudes
Original
2008
Earlier work this paper cites.
M. Cacciari, G. P. Salam, and G. Soyez, The Anti-k(t) jet clustering algorithm
Original
2008
Earlier work this paper cites.

Similar

S. Catani, L. Cieri, G. Ferrera, D. de Florian, and M. Grazzini, Vector boson production at hadron colliders: a fully exclusive QCD calculation at NNLO
Original
2009
Cited alongside, same era.
R. V. Harlander and K. J. Ozeren, Finite top mass effects for hadronic Higgs production at next-to-next-to-leading order
Original
2009
Cited alongside, same era.
C. Anastasiou, S. Bucherer, and Z. Kunszt, HPro: A NLO Monte-Carlo for Higgs production via gluon fusion with finite heavy quark masses
Original
2009
Cited alongside, same era.
R. V. Harlander, K. J. Ozeren, and M. Wiesemann, Higgs plus jet production in bottom quark annihilation at next-to-leading order
Original
2010
Cited alongside, same era.
R. V. Harlander, H. Mantler, S. Marzani, and K. J. Ozeren, Higgs production in gluon fusion at next-to-next-to-leading order QCD for finite top mass

Then

R. Boughezal, C. Focke, W. Giele, X. Liu, and F. Petriello, Higgs boson production in association with a jet at NNLO using jettiness subtraction
Original
2015
Later among the works it cites.
F. Caola, K. Melnikov, and M. Schulze, Fiducial cross sections for Higgs boson production in association with a jet at next-to-next-to-leading order in QCD
Original
2015
Later among the works it cites.
R. Boughezal, C. Focke, X. Liu, and F. Petriello, W W -boson production in association with a jet at next-to-next-to-leading order in perturbative QCD
Original
2015
Later among the works it cites.
M. Grazzini, S. Kallweit, D. Rathlev, and M. Wiesemann, Transverse-momentum resummation for vector-boson pair production at NNLL+NNLO
Original
2015
Later among the works it cites.

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2017

Fully differential NNLO computations with MATRIX

Grazzini, Massimiliano, Kallweit, Stefan, Wiesemann, Marius

Understand

We present the computational framework MATRIX which allows us to evaluate fully differential cross sections for a wide class of processes at hadron colliders in next-to-next-to-leading order (NNLO) QCD.

The processes we consider are $2\to 1$ and $2\to 2$ hadronic reactions involving Higgs and vector bosons in the final state.
All possible leptonic decay channels of the vector bosons are included for the first time in the calculations, by consistently accounting for all resonant and non-resonant diagrams, off-shell effects and spin correlations.
We briefly introduce the theoretical framework MATRIX is based on, discuss its relevant features and provide a detailed description of how to use MATRIX to obtain NNLO accurate results for the various processes.

Built on

K. O. Mikaelian, M. A. Samuel, and D. Sahdev, The Magnetic Moment of Weak Bosons Produced in p p and p anti-p Collisions
1979
Earlier work this paper cites.
J. C. Collins, D. E. Soper, and G. F. Sterman, Transverse Momentum Distribution in Drell-Yan Pair and W and Z Boson Production
1985
Earlier work this paper cites.
S. Catani, Y. L. Dokshitzer, M. H. Seymour, and B. R. Webber, Longitudinally invariant K t K_{t} clustering algorithms for hadron hadron collisions
1993
Earlier work this paper cites.
U. Baur, T. Han, and J. Ohnemus, Amplitude zeros in W ± Z W^{\pm}Z production
1994
Earlier work this paper cites.
S. Catani and M. Seymour, The Dipole formalism for the calculation of QCD jet cross-sections at next-to-leading order
1996
Earlier work this paper cites.
S. Frixione, Z. Kunszt, and A. Signer, Three jet cross-sections to next-to-leading order
1996
Earlier work this paper cites.
S. Catani and M. Seymour, A General algorithm for calculating jet cross-sections in NLO QCD
1997
Earlier work this paper cites.
S. Frixione, A General approach to jet cross-sections in QCD
1997
Earlier work this paper cites.
Y. L. Dokshitzer, G. D. Leder, S. Moretti, and B. R. Webber, Better jet clustering algorithms
1997
Earlier work this paper cites.
S. Frixione and G. Ridolfi, Jet photoproduction at HERA
1997
Earlier work this paper cites.
D. A. Kosower, Antenna factorization of gauge theory amplitudes
1998
Earlier work this paper cites.
hep-ph/9907280
M. Wobisch and T. Wengler, Hadronization corrections to jet cross-sections in deep inelastic scattering · 1998
Earlier work this paper cites.
S. Frixione, Isolated photons in perturbative QCD
1998
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.
D. de Florian and M. Grazzini, The Structure of large logarithmic corrections at small transverse momentum in hadronic collisions
2001
Earlier work this paper cites.
R. Hamberg, W. L. van Neerven, and T. Matsuura, A complete calculation of the order α s 2 \alpha_{s}^{2} correction to the Drell-Yan K K factor
2002
Earlier work this paper cites.
R. V. Harlander and W. B. Kilgore, Next-to-next-to-leading order Higgs production at hadron colliders
2002
Earlier work this paper cites.
C. Anastasiou and K. Melnikov, Higgs boson production at hadron colliders in NNLO QCD
2002
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
2002
Earlier work this paper cites.
C. Anastasiou, E. W. N. Glover, and M. E. Tejeda-Yeomans, Two loop QED and QCD corrections to massless fermion boson scattering
2002
Earlier work this paper cites.
V. Ravindran, J. Smith, and W. L. van Neerven, NNLO corrections to the total cross-section for Higgs boson production in hadron hadron collisions
2003
Earlier work this paper cites.
R. V. Harlander and W. B. Kilgore, Higgs boson production in bottom quark fusion at next-to-next-to leading order
2003
Earlier work this paper cites.
C. Anastasiou, L. J. Dixon, K. Melnikov, and F. Petriello, High precision QCD at hadron colliders: Electroweak gauge boson rapidity distributions at NNLO
2004
Earlier work this paper cites.
P. Z. Skands et al., SUSY Les Houches accord: Interfacing SUSY spectrum calculators, decay packages, and event generators
2004
Earlier work this paper cites.
C. Anastasiou, K. Melnikov, and F. Petriello, Fully differential Higgs boson production and the di-photon signal through next-to-next-to-leading order
2005
Earlier work this paper cites.
A. Gehrmann-De Ridder, T. Gehrmann, and E. W. N. Glover, Antenna subtraction at NNLO
2005
Earlier work this paper cites.
G. Somogyi, Z. Trocsanyi, and V. Del Duca, Matching of singly- and doubly-unresolved limits of tree-level QCD squared matrix elements
2005
Earlier work this paper cites.
K. Melnikov and F. Petriello, Electroweak gauge boson production at hadron colliders through 𝒪 ⁡ ( α S 2 ) \mathcal{O}(\alpha_{S}^{2})
2006
Earlier work this paper cites.
G. Bozzi, S. Catani, D. de Florian, and M. Grazzini, Transverse-momentum resummation and the spectrum of the Higgs boson at the LHC
2006
Earlier work this paper cites.
S. Catani and M. Grazzini, An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
2007
Earlier work this paper cites.
C. Anastasiou, G. Dissertori, and F. Stöckli, NNLO QCD predictions for the H → W W → ℓ ν ℓ ν H\to WW\to\ell\nu\ell\nu signal at the LHC
Original
2007
Earlier work this paper cites.
A. Daleo, T. Gehrmann, and D. Maitre, Antenna subtraction with hadronic initial states
2007
Earlier work this paper cites.
S. Marzani, R. D. Ball, V. Del Duca, S. Forte, and A. Vicini, Higgs production via gluon-gluon fusion with finite top mass beyond next-to-leading order
Original
2008
Earlier work this paper cites.
G. Ossola, C. G. Papadopoulos, and R. Pittau, CutTools: A Program implementing the OPP reduction method to compute one-loop amplitudes
Original
2008
Earlier work this paper cites.
M. Cacciari, G. P. Salam, and G. Soyez, The Anti-k(t) jet clustering algorithm
Original
2008
Earlier work this paper cites.