Fetching the paper…

Reading the bibliography…

2020

The one-loop amplitudes for Higgs + 4 partons with full mass effects

Budge, Lucy, Campbell, John M., De Laurentis, Giuseppe et al.

Original
PDF
Post on X

Understand

We present compact analytic formulae for the one-loop amplitudes for Higgs + 4 parton scattering, $0 \to g g g g h$, $0 \to \bar{q} q gg h$ and $0\to \bar{q} q \bar{q}^\prime q^\prime h$, mediated by a loop of massive coloured quarks.

We exploit the correspondence with a theory in which a massive coloured scalar circulates in the loop to avoid a proliferation in the number of terms in the result.
In addition, we use momentum twistors and high precision numerical evaluations to simplify the expressions.
The analytic results in this paper, in terms of spinor products, allow construction of an efficient numerical program to calculate the amplitude.

The one-loop amplitudes for Higgs + 4 partons with full mass effects · Around

Built on

G. de Laurentis and D. Maître, Extracting analytical one-loop amplitudes from numerical evaluations , JHEP 07
Original
1904
Earlier work this paper cites.
H. B. Hartanto, S. Badger, C. Brønnum-Hansen and T. Peraro, A numerical evaluation of planar two-loop helicity amplitudes for a W-boson plus four partons , JHEP 09
Original
1906
Earlier work this paper cites.
F. Buccioni, J.-N. Lang, J. M. Lindert, P. Maierhöfer, S. Pozzorini, H. Zhang et al., OpenLoops 2 , Eur. Phys. J. C79
Original
1907
Earlier work this paper cites.
J. Campbell and T. Neumann, Precision Phenomenology with MCFM , JHEP 12
Original
1909
Earlier work this paper cites.
D. B. Melrose, Reduction of Feynman diagrams , Nuovo Cim. 40
1965
Earlier work this paper cites.
W. L. van Neerven and J. A. M. Vermaseren, Large loop integrals , Phys. Lett. 137B
1984
Earlier work this paper cites.
R. K. Ellis, I. Hinchliffe, M. Soldate and J. J. van der Bij, Higgs Decay to τ + τ − \tau^{+}\tau^{-} : A Possible Signature of Intermediate Mass Higgs Bosons at high energy hadron colliders , Nucl. Phys. B297
1988
Earlier work this paper cites.
U. Baur and E. W. N. Glover, Higgs Boson Production at Large Transverse Momentum in Hadronic Collisions , Nucl. Phys. B339
1990
Earlier work this paper cites.
S. Dawson and R. P. Kauffman, Higgs boson plus multi - jet rates at the SSC , Phys. Rev. Lett. 68
1992
Earlier work this paper cites.
Z. Bern, L. J. Dixon and D. A. Kosower, Dimensionally regulated pentagon integrals , Nucl. Phys. B412
1994
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar and D. A. Kosower, Fusing gauge theory tree amplitudes into loop amplitudes , Nucl. Phys. B435
1995
Earlier work this paper cites.
A. G. Morgan, Second order fermions in gauge theories , Phys. Lett. B351
1995
Earlier work this paper cites.
Z. Bern and A. G. Morgan, Massive loop amplitudes from unitarity , Nucl. Phys. B467
1996
Earlier work this paper cites.
R. P. Kauffman, S. V. Desai and D. Risal, Production of a Higgs boson plus two jets in hadronic collisions , Phys. Rev. D55
1997
Earlier work this paper cites.
V. Del Duca, W. Kilgore, C. Oleari, C. Schmidt and D. Zeppenfeld, Gluon fusion contributions to H + 2 jet production , Nucl. Phys. B616
2001
Earlier work this paper cites.
R. Britto, F. Cachazo and B. Feng, Generalized unitarity and one-loop amplitudes in N=4 super-Yang-Mills , Nucl. Phys. B725
2005
Earlier work this paper cites.

Similar

S. D. Badger, E. W. N. Glover, V. V. Khoze and P. Svrcek, Recursion relations for gauge theory amplitudes with massive particles , JHEP 07
2005
Cited alongside, same era.
J. M. Campbell, R. K. Ellis and G. Zanderighi, Next-to-Leading order Higgs + 2 jet production via gluon fusion , JHEP 10
2006
Cited alongside, same era.
D. Forde, Direct extraction of one-loop integral coefficients , Phys. Rev. D75
Original
2007
Cited alongside, same era.
G. Ossola, C. G. Papadopoulos and R. Pittau, Reducing full one-loop amplitudes to scalar integrals at the integrand level , Nucl. Phys. B763
2007
Cited alongside, same era.
R. Britto and B. Feng, Unitarity cuts with massive propagators and algebraic expressions for coefficients , Phys. Rev. D75
2007
Cited alongside, same era.

Then

S. Badger, H. Frellesvig and Y. Zhang, A Two-Loop Five-Gluon Helicity Amplitude in QCD , JHEP 12
Original
2013
Later among the works it cites.
G. Cullen et al., G O \scriptsize{O} S A M \scriptsize{AM} -2.0: a tool for automated one-loop calculations within the Standard Model and beyond , Eur. Phys. J. C74
Original
2014
Later among the works it cites.
L. J. Dixon, A brief introduction to modern amplitude methods , in Proceedings, 2012 European School of High-Energy Physics (ESHEP 2012): La Pommeraye, Anjou, France, June 06-19, 2012 , pp. 31–67, 2014, 1310.5353 , DOI
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.

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. K. Ellis and G. Zanderighi, Scalar one-loop integrals for QCD , JHEP 02

2008

Cited alongside, same era.

P. Mastrolia, Double-Cut of Scattering Amplitudes and Stokes’ Theorem , Phys. Lett. B678

2009

Cited alongside, same era.

S. D. Badger, Direct Extraction Of One Loop Rational Terms , JHEP 01

2009

Cited alongside, same era.

R. K. Ellis, W. T. Giele, Z. Kunszt and K. Melnikov, Masses, fermions and generalized D D -dimensional unitarity , Nucl. Phys. B822

2009

Cited alongside, same era.

S. Badger, E. W. Nigel Glover, P. Mastrolia and C. Williams, One-loop Higgs plus four gluon amplitudes: Full analytic results , JHEP 01

2010

Cited alongside, same era.

A. van Hameren, OneLOop: For the evaluation of one-loop scalar functions , Comput. Phys. Commun. 182

2011

Cited alongside, same era.

S. Davies, One-Loop QCD and Higgs to Partons Processes Using Six-Dimensional Helicity and Generalized Unitarity , Phys. Rev. D84

2011

Cited alongside, same era.

V. Hirschi and O. Mattelaer, Automated event generation for loop-induced processes , JHEP 10

2015

Later among the works it cites.

J. M. Campbell, R. K. Ellis and W. T. Giele, A Multi-Threaded Version of MCFM , Eur. Phys. J. C75

2015

Later among the works it cites.

S. Carrazza, R. K. Ellis and G. Zanderighi, QCDLoop: a comprehensive framework for one-loop scalar integrals , Comput. Phys. Commun. 209

2016

Later among the works it cites.

S. Badger, Automating QCD amplitudes with on-shell methods , J. Phys. Conf. Ser. 762

2016

Later among the works it cites.

T. Neumann and C. Williams, The Higgs boson at high p T p_{T} , Phys. Rev. D95

2017

Later among the works it cites.

N. Greiner, S. Höche, G. Luisoni, M. Schönherr and J.-C. Winter, Full mass dependence in Higgs boson production in association with jets at the LHC and FCC , JHEP 01

2017

Later among the works it cites.

B. Mistlberger, Higgs boson production at hadron colliders at N 3

2018

Later among the works it cites.

S. P. Jones, M. Kerner and G. Luisoni, Next-to-Leading-Order QCD Corrections to Higgs Boson Plus Jet Production with Full Top-Quark Mass Dependence , Phys. Rev. Lett. 120

2018

Later among the works it cites.

R. K. Ellis and S. Seth, On Higgs boson plus gluon amplitudes at one loop , JHEP 11

2018

Later among the works it cites.

J. M. Lindert, K. Kudashkin, K. Melnikov and C. Wever, Higgs bosons with large transverse momentum at the LHC , Phys. Lett. B782

2018

Later among the works it cites.

T. Neumann, NLO Higgs+jet production at large transverse momenta including top quark mass effects , J. Phys. Comm. 2

2018

Later among the works it cites.

A. Ochirov, Helicity amplitudes for QCD with massive quarks , JHEP 04

2018

Later among the works it cites.