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

@article{Budge2020TheOA, title={The one-loop amplitudes for Higgs + 4 partons with full mass effects}, author={Lucy Budge and John M. Campbell and Giuseppe De Laurentis and R. Keith Ellis and Satyajit Seth}, journal={Journal of High Energy Physics}, year={2020}, volume={2020}, pages={1-48} }

We present compact analytic formulae for the one-loop amplitudes for Higgs + 4 parton scattering, 0 → ggggh , 0 → q ¯ $$ \overline{q} $$ qggh and 0 → q ¯ $$ \overline{q} $$ q q ¯ ′ $$ {\overline{q}}^{\prime } $$ q′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…

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## References

SHOWING 1-10 OF 53 REFERENCES

### One-loop Higgs plus four gluon amplitudes: full analytic results

- Physics
- 2010

We consider one-loop amplitudes of a Higgs boson coupled to gluons in the limit of a large top quark mass. We treat the Higgs as the real part of a complex field ϕ that couples to the self-dual field…

### Higgs bosons at high pT

- Physics
- 2017

We present a calculation of $H+j$ at NLO including the effect of a finite top-mass. Where possible we include the complete dependence on $m_t$. This includes the leading order amplitude, the infrared…

### One-loop QCD and Higgs bosons to partons processes using six-dimensional helicity and generalized unitarity

- Physics
- 2011

We combine the six-dimensional helicity formalism of Cheung and O'Connell with D-dimensional generalized unitarity to obtain a new formalism for computing one-loop amplitudes in dimensionally…

### NLO Higgs+jet at large transverse momenta including top quark mass effects

- Physics
- 2018

We present a next-to-leading order calculation of H+jet in gluon fusion including the effect of a finite top quark mass $m_t$ at large transverse momenta. Using the recently published two-loop…

### Direct extraction of one loop rational terms

- Physics
- 2009

We present a method for the direct extraction of rational contributions to one-loop scattering amplitudes, missed by standard four-dimensional unitarity techniques. We use generalised unitarity in…

### Vector boson pair production at the LHC

- Physics
- 2011

We present phenomenological results for vector boson pair production at the LHC, obtained using the parton-level next-to-leading order program MCFM. We include the implementation of a new process in…

### A numerical evaluation of planar two-loop helicity amplitudes for a W-boson plus four partons

- PhysicsJournal of High Energy Physics
- 2019

Abstract
We present the first numerical results for the two-loop helicity amplitudes for the scattering of four partons and a W-boson in QCD. We use a finite field sampling method to reduce…