The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations

A. Alloul, N. D. Christensen, C. Degrande, C. Duhr, and B. Fuks, FeynRules 2.0 - A complete toolbox for tree-level phenomenology

Original

1921

Earlier work this paper cites.

A. Cafarella, C. G. Papadopoulos, and M. Worek, Helac-Phegas: A Generator for all parton level processes

Original

1955

Earlier work this paper cites.

K. Melnikov, M. Schulze, and A. Scharf, QCD corrections to top quark pair production in association with a photon at hadron colliders

Original

1967

Earlier work this paper cites.

Wiley, 1971

E. Byckling and K. Kajantie, Particle Kinematics · 1971

Earlier work this paper cites.

G. ’t Hooft and M. Veltman, Regularization and Renormalization of Gauge Fields

1972

Earlier work this paper cites.

D. J. Gross and F. Wilczek, Ultraviolet Behavior of Nonabelian Gauge Theories

1973

Earlier work this paper cites.

H. D. Politzer, Reliable Perturbative Results for Strong Interactions?

1973

Earlier work this paper cites.

T. Appelquist and H. Georgi, e + ​ e − e^{+}e^{-} annihilation in gauge theories of strong interactions

1973

Earlier work this paper cites.

G. F. Sterman and S. Weinberg, Jets from Quantum Chromodynamics

1977

Earlier work this paper cites.

A. Buras, E. Floratos, D. Ross, and C. T. Sachrajda, Asymptotic Freedom Beyond the Leading Order

1977

Earlier work this paper cites.

G. Altarelli and G. Parisi, Asymptotic Freedom in Parton Language

1977

Earlier work this paper cites.

W. A. Bardeen, A. Buras, D. Duke, and T. Muta, Deep Inelastic Scattering Beyond the Leading Order in Asymptotically Free Gauge Theories

1978

Earlier work this paper cites.

G. Altarelli, R. K. Ellis, and G. Martinelli, Leptoproduction and Drell-Yan Processes Beyond the Leading Approximation in Chromodynamics

1978

Earlier work this paper cites.

G. P. Lepage, A New Algorithm for Adaptive Multidimensional Integration

1978

Earlier work this paper cites.

G. Passarino and M. Veltman, One Loop Corrections for e + ​ e − e^{+}e^{-} Annihilation Into μ + ​ μ − \mu^{+}\mu^{-} in the Weinberg Model

1979

Earlier work this paper cites.

W. Celmaster and R. J. Gonsalves, Fourth Order QCD Contributions to the e + ​ e − e^{+}e^{-} Annihilation Cross-Section

1980

Earlier work this paper cites.

CLNS-80/447, 1980

G. P. Lepage, VEGAS: an adaptive multidimentional integration program · 1980

Earlier work this paper cites.

R. K. Ellis, D. Ross, and A. Terrano, The Perturbative Calculation of Jet Structure in e + ​ e − e^{+}e^{-} Annihilation

1981

Earlier work this paper cites.

F. A. Berends, R. Kleiss, P. De Causmaecker, R. Gastmans, and T. T. Wu, Single Bremsstrahlung Processes in Gauge Theories

1981

Earlier work this paper cites.

P. De Causmaecker, R. Gastmans, W. Troost, and T. T. Wu, Multiple Bremsstrahlung in Gauge Theories at High-Energies. 1. General Formalism for Quantum Electrodynamics

1982

Earlier work this paper cites.

C. Berger, Z. Bern, L. J. Dixon, F. Febres Cordero, D. Forde, et al., Next-to-Leading Order QCD Predictions for W+3-Jet Distributions at Hadron Colliders

Original

1984

Earlier work this paper cites.

R. Kleiss and W. J. Stirling, Spinor Techniques for Calculating p ​ p ¯ → W ± / Z 0 p\bar{p}\to W^{\pm}/Z^{0} + Jets

1985

Earlier work this paper cites.

J. Gunion and Z. Kunszt, Improved Analytic Techniques for Tree Graph Calculations and the g ​ g ​ q ​ q ¯ ​ l ​ l ¯ ggq\bar{q}l\bar{l} Subprocess

1985

Earlier work this paper cites.

K. Hagiwara and D. Zeppenfeld, Helicity Amplitudes for Heavy Lepton Production in e + ​ e − e^{+}e^{-} Annihilation

1986

Earlier work this paper cites.

R. Kleiss, W. J. Stirling, and S. Ellis, A New Monte Carlo Treatment of Multiparticle Phase Space at High-energies

1986

Earlier work this paper cites.

Z. Xu, D.-H. Zhang, and L. Chang, Helicity Amplitudes for Multiple Bremsstrahlung in Massless Nonabelian Gauge Theories

1987

Earlier work this paper cites.

K. Kondo, Dynamical Likelihood Method for Reconstruction of Events With Missing Momentum. 1: Method and Toy Models

1988

Earlier work this paper cites.

P. Nason, S. Dawson, and R. K. Ellis, The Total Cross-Section for the Production of Heavy Quarks in Hadronic Collisions

1988

Earlier work this paper cites.

W. Beenakker, H. Kuijf, W. van Neerven, and J. Smith, QCD Corrections to Heavy Quark Production in p ​ p ¯ p\bar{p} Collisions

1989

Earlier work this paper cites.

P. Nason, S. Dawson, and R. K. Ellis, The One Particle Inclusive Differential Cross-Section for Heavy Quark Production in Hadronic Collisions

1989

Earlier work this paper cites.

N. D. Christensen, C. Duhr, B. Fuks, J. Reuter, and C. Speckner, Introducing an interface between WHIZARD and FeynRules

Original

1990

Earlier work this paper cites.

R. Gastmans and T. Wu, The Ubiquitous photon: Helicity method for QED and QCD

1990

Earlier work this paper cites.

M. L. Mangano and S. J. Parke, Multiparton amplitudes in gauge theories

1991

Earlier work this paper cites.

A. I. Davydychev, A Simple formula for reducing Feynman diagrams to scalar integrals

1991

Earlier work this paper cites.

R. G. Stuart, Gauge invariance, analyticity and physical observables at the Z 0 Z^{0} resonance

1991

Earlier work this paper cites.

B. Mele, P. Nason, and G. Ridolfi, QCD radiative corrections to Z boson pair production in hadronic collisions

1991

Earlier work this paper cites.

J. Ohnemus and J. Owens, An O ⁡ ( α s ) O(\alpha_{s}) calculation of hadronic Z ​ Z ZZ production

1991

Earlier work this paper cites.

J. Ohnemus, An O ⁡ ( α s ) O(\alpha_{s}) calculation of hadronic W − ​ W + W^{-}W^{+} production

1991

Earlier work this paper cites.

J. Ohnemus, An O ⁡ ( α s ) O(\alpha_{s}) calculation of hadronic W ± ​ Z W^{\pm}Z production

1991

Earlier work this paper cites.

W. Beenakker, W. van Neerven, R. Meng, G. Schuler, and J. Smith, QCD corrections to heavy quark production in hadron hadron collisions

1991

Earlier work this paper cites.

KEK-91-11, 1992

H. Murayama, I. Watanabe, and K. Hagiwara, HELAS: Helicity amplitude subroutines for Feynman diagram evaluations · 1992

Earlier work this paper cites.

R. Dalitz and G. R. Goldstein, The decay and polarization properties of the top quark

1992

Earlier work this paper cites.

L. Lonnblad, ARIADNE version 4: A Program for simulation of QCD cascades implementing the color dipole model

1992

Earlier work this paper cites.

S. Frixione, P. Nason, and G. Ridolfi, Strong corrections to W ​ Z WZ production at hadron colliders

1992

Earlier work this paper cites.

M. L. Mangano, P. Nason, and G. Ridolfi, Heavy quark correlations in hadron collisions at next-to-leading order

1992

Earlier work this paper cites.

S. Catani, Y. L. Dokshitzer, M. Seymour, and B. Webber, Longitudinally invariant k t k_{t} clustering algorithms for hadron hadron collisions

1993

Earlier work this paper cites.

S. Frixione, A Next-to-leading order calculation of the cross-section for the production of W + ​ W − W^{+}W^{-} pairs in hadronic collisions

1993

Earlier work this paper cites.

A. Denner, Techniques for calculation of electroweak radiative corrections at the one loop level and results for W physics at LEP-200

Original

1993

Earlier work this paper cites.

Z. Bern, L. J. Dixon, D. C. Dunbar, and D. A. Kosower, One-loop n-point gauge theory amplitudes, unitarity and collinear limits

1994

Earlier work this paper cites.

T. Stelzer and W. Long, Automatic generation of tree level helicity amplitudes

1994

Earlier work this paper cites.

R. Kleiss and R. Pittau, Weight optimization in multichannel Monte Carlo

1994

Earlier work this paper cites.

A. Aeppli, G. J. van Oldenborgh, and D. Wyler, Unstable particles in one loop calculations

1994

Earlier work this paper cites.

F. Caravaglios and M. Moretti, An algorithm to compute Born scattering amplitudes without Feynman graphs

1995

Earlier work this paper cites.

E. N. Argyres, W. Beenakker, G. J. van Oldenborgh, A. Denner, S. Dittmaier, et al., Stable calculations for unstable particles: Restoring gauge invariance

1995

Earlier work this paper cites.

T. Stelzer and S. Willenbrock, Single top quark production via q ​ q ¯ → t ​ b ¯ q\bar{q}\to t\bar{b}

1995

Earlier work this paper cites.

M. S. Bilenky, G. Rodrigo, and A. Santamaria, Three jet production at LEP and the bottom quark mass

1995

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.

T. Plehn, M. Spira, and P. Zerwas, Pair production of neutral Higgs particles in gluon-gluon collisions

1996

Earlier work this paper cites.

C. R. Schmidt, Top quark production and decay at next-to-leading order in e + ​ e − e^{+}e^{-} annihilation

1996

Earlier work this paper cites.

O. Tarasov, Connection between Feynman integrals having different values of the space-time dimension

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.

W. Beenakker, G. J. van Oldenborgh, A. Denner, S. Dittmaier, J. Hoogland, et al., The Fermion loop scheme for finite width effects in e + ​ e − e^{+}e^{-} annihilation into four fermions

1997

Earlier work this paper cites.

C. Friberg, G. Gustafson, and J. Hakkinen, Color connections in e + ​ e − e^{+}e^{-} annihilation

1997

Earlier work this paper cites.

T. Stelzer, Z. Sullivan, and S. Willenbrock, Single top quark production via W W - gluon fusion at next-to-leading order

1997

Earlier work this paper cites.

A. Signer and L. J. Dixon, Electron - positron annihilation into four jets at next-to-leading order in α s \alpha_{s}

1997

Earlier work this paper cites.

Z. Nagy and Z. Trocsanyi, Next-to-leading order calculation of four jet shape variables

1997

Earlier work this paper cites.

W. Bernreuther, A. Brandenburg, and P. Uwer, Next-to-leading order QCD corrections to three jet cross-sections with massive quarks

1997

Earlier work this paper cites.

D. A. Kosower, Antenna factorization of gauge theory amplitudes

1998

Earlier work this paper cites.

S. Badger, B. Biedermann, P. Uwer, and V. Yundin, Numerical evaluation of virtual corrections to multi-jet production in massless QCD

Original

1998

Earlier work this paper cites.

N. Arkani-Hamed, S. Dimopoulos, and G. Dvali, The Hierarchy problem and new dimensions at a millimeter

1998

Earlier work this paper cites.

K. Odagiri, Color connection structure of supersymmetric QCD ( 2 → 2 2\to 2 ) processes

1998

Earlier work this paper cites.

S. Frixione, Isolated photons in perturbative QCD

1998

Earlier work this paper cites.

S. Dawson, S. Dittmaier, and M. Spira, Neutral Higgs boson pair production at hadron colliders: QCD corrections

1998

Earlier work this paper cites.

Z. Nagy and Z. Trocsanyi, Four jet production in e + ​ e − e^{+}e^{-} annihilation at next-to-leading order

1998

Earlier work this paper cites.

P. Nason and C. Oleari, Next-to-leading order corrections to the production of heavy flavor jets in e + ​ e − e^{+}e^{-} collisions

1998

Earlier work this paper cites.

A. Brandenburg and P. Uwer, Next-to-leading order QCD corrections and massive quarks in e + ​ e − → e^{+}e^{-}\to three jets

1998

Earlier work this paper cites.

S. Dittmaier, M. Kramer, Y. Liao, M. Spira, and P. Zerwas, Higgs radiation off top quarks in e + ​ e − e^{+}e^{-} collisions

1998

Earlier work this paper cites.

J. M. Campbell, M. Cullen, and E. N. Glover, Four jet event shapes in electron–positron annihilation

1999

Earlier work this paper cites.

T. Hahn and M. Perez-Victoria, Automatized one loop calculations in four-dimensions and D-dimensions

1999

Earlier work this paper cites.

A. Denner, S. Dittmaier, M. Roth, and D. Wackeroth, Predictions for all processes e + ​ e − → e^{+}e^{-}\to 4 fermions + γ \gamma

1999

Earlier work this paper cites.

J. M. Campbell and R. K. Ellis, An update on vector boson pair production at hadron colliders

1999

Earlier work this paper cites.

L. J. Dixon, Z. Kunszt, and A. Signer, Vector boson pair production in hadronic collisions at order α s \alpha_{s} : Lepton correlations and anomalous couplings

1999

Earlier work this paper cites.

R. K. Ellis and S. Veseli, Strong radiative corrections to W ​ b ​ b ¯ Wb\bar{b} production in p ​ p ¯ p\bar{p} collisions

1999

Earlier work this paper cites.

F. Yuasa, J. Fujimoto, T. Ishikawa, M. Jimbo, T. Kaneko, et al., Automatic computation of cross-sections in HEP: Status of GRACE system

2000

Earlier work this paper cites.

A. Kanaki and C. G. Papadopoulos, HELAC: A Package to compute electroweak helicity amplitudes

2000

Earlier work this paper cites.

G. Passarino, Unstable particles and nonconserved currents: A Generalization of the fermion loop scheme

2000

Earlier work this paper cites.

W. Beenakker, F. A. Berends, and A. Chapovsky, An Effective Lagrangian approach for unstable particles

2000

Earlier work this paper cites.

V. Del Duca, L. J. Dixon, and F. Maltoni, New color decompositions for gauge amplitudes at tree and loop level

2000

Earlier work this paper cites.

D. De Florian and A. Signer, W ​ γ W\gamma and Z ​ γ Z\gamma production at hadron colliders

2000

Earlier work this paper cites.

J. M. Campbell and R. K. Ellis, Radiative corrections to Z ​ b ​ b ¯ Zb\bar{b} production

2000

Earlier work this paper cites.

M. Dobbs, Incorporating next-to-leading order matrix elements for hadronic diboson production in showering event generators

2001

Earlier work this paper cites.

T. Hahn, Generating Feynman diagrams and amplitudes with FeynArts 3

2001

Earlier work this paper cites.

G. Corcella, I. Knowles, G. Marchesini, S. Moretti, K. Odagiri, et al., HERWIG 6: An Event generator for hadron emission reactions with interfering gluons (including supersymmetric processes)

2001

Earlier work this paper cites.

S. Catani, F. Krauss, R. Kuhn, and B. Webber, QCD matrix elements + parton showers

2001

Earlier work this paper cites.

P. Richardson, Spin correlations in Monte Carlo simulations

2001

Earlier work this paper cites.

S. Frixione and B. R. Webber, Matching NLO QCD computations and parton shower simulations

2002

Earlier work this paper cites.

Y.-j. Chen, J. Collins, and X.-m. Zu, NLO corrections in MC event generator for angular distribution of Drell-Yan lepton pair production

2002

Earlier work this paper cites.

F. Krauss, R. Kuhn, and G. Soff, AMEGIC++ 1.0: A Matrix element generator in C++

2002

Earlier work this paper cites.

L. Lonnblad, Correcting the color dipole cascade model with fixed order matrix elements

2002

Earlier work this paper cites.

F. Krauss, Matrix elements and parton showers in hadronic interactions

2002

Earlier work this paper cites.

J. M. Campbell and R. K. Ellis, Next-to-leading order corrections to W + W^{+} 2 jet and Z + Z^{+} 2 jet production at hadron colliders

2002

Earlier work this paper cites.

S. Catani, M. Fontannaz, J. Guillet, and E. Pilon, Cross-section of isolated prompt photons in hadron hadron collisions

2002

Earlier work this paper cites.

S. Dittmaier and M. Kramer, Electroweak radiative corrections to W boson production at hadron colliders

2002

Earlier work this paper cites.

Y. Kurihara, J. Fujimoto, T. Ishikawa, K. Kato, S. Kawabata, et al., QCD event generators with next-to-leading order matrix elements and parton showers

2003

Earlier work this paper cites.

M. L. Mangano, M. Moretti, F. Piccinini, R. Pittau, and A. D. Polosa, ALPGEN, a generator for hard multiparton processes in hadronic collisions

2003

Earlier work this paper cites.

J. Fujimoto, T. Ishikawa, M. Jimbo, T. Kaneko, K. Kato, et al., GRACE/SUSY automatic generation of tree amplitudes in the minimal supersymmetric standard model

2003

Earlier work this paper cites.

W. Beenakker, A. Chapovsky, A. Kanaki, C. Papadopoulos, and R. Pittau, Towards an effective Lagrangian approach to fermion loop corrections

2003

Earlier work this paper cites.

F. Maltoni, K. Paul, T. Stelzer, and S. Willenbrock, Color flow decomposition of QCD amplitudes

2003

Earlier work this paper cites.

F. Maltoni and T. Stelzer, MadEvent: Automatic event generation with MadGraph

2003

Earlier work this paper cites.

S. Frixione, P. Nason, and B. R. Webber, Matching NLO QCD and parton showers in heavy flavor production

2003

Earlier work this paper cites.

J. M. Campbell, R. K. Ellis, and D. L. Rainwater, Next-to-leading order QCD predictions for W W + 2 jet and Z Z + 2 jet production at the CERN LHC

2003

Earlier work this paper cites.

V. Del Duca, F. Maltoni, Z. Nagy, and Z. Trocsanyi, QCD radiative corrections to prompt diphoton production in association with a jet at hadron colliders

2003

Cited alongside, same era.

Z. Nagy, Next-to-leading order calculation of three jet observables in hadron hadron collision

2003

Cited alongside, same era.

W. Beenakker, S. Dittmaier, M. Kramer, B. Plumper, M. Spira, et al., NLO QCD corrections to t ​ t ¯ ​ H t\bar{t}H production in hadron collisions

2003

Cited alongside, same era.

F. del Aguila and R. Pittau, Recursive numerical calculus of one-loop tensor integrals

2004

Cited alongside, same era.

P. Nason, A New method for combining NLO QCD with shower Monte Carlo algorithms

2004

Cited alongside, same era.

C. Duhr and B. Fuks, A superspace module for the FeynRules package

Original

2011

Later among the works it cites.

J. Alwall, A. Freitas, and O. Mattelaer, The Matrix Element Method and QCD Radiation

Original

2011

Later among the works it cites.

M. Garzelli, I. Malamos, and R. Pittau, Feynman rules for the rational part of the Electroweak 1-loop amplitudes in the R ξ R_{\xi} gauge and in the Unitary gauge

Original

2011

Later among the works it cites.

H.-S. Shao, Y.-J. Zhang, and K.-T. Chao, Feynman Rules for the Rational Part of the Standard Model One-loop Amplitudes in the ’t Hooft-Veltman γ 5 \gamma_{5} Scheme

Original

2011

Later among the works it cites.

S. Frixione, F. Stoeckli, P. Torrielli, and B. R. Webber, NLO QCD corrections in Herwig++ with MC@NLO