One-loop phi-MHV amplitudes using the unitarity bootstrap: the general helicity case
arXiv:0804.4149 · doi:10.1088/1126-6708/2008/08/017
Abstract
We consider a Higgs boson coupled to gluons via the five-dimensional effective operator H tr G_{μν}G^{μν}. We treat H as the real part of a complex field phi that couples to the selfdual gluon field strengths and compute the one-loop corrections to the phi-MHV amplitudes involving phi, two negative helicity gluons and an arbitrary number of positive helicity gluons. Our results generalise earlier work where the two negative helicity gluons were constrained to be colour adjacent. We use four-dimensional unitarity to construct the cut-containing contributions and the recently developed recursion relations to obtain the rational contribution for an arbitrary number of external gluons. We solve the recursion relations and give explicit results for up to four external gluons. These amplitudes are relevant for Higgs plus jet production via gluon fusion in the limit where the top quark mass is large compared to all other scales in the problem.
55 pages, 8 figures, JHEP3 class, references added, typos corrected
References in corpus (19)
- Reducing full one-loop amplitudes to scalar integrals at the integrand level
- An Automated Implementation of On-Shell Methods for One-Loop Amplitudes
- Direct extraction of one-loop integral coefficients
- Full one-loop amplitudes from tree amplitudes
- A Numerical Unitarity Formalism for Evaluating One-Loop Amplitudes
- On the Rational Terms of the one-loop amplitudes
- D-dimensional unitarity cut method
- Next-to-Leading order Higgs + 2 jet production via gluon fusion
- Bootstrapping One-Loop QCD Amplitudes with General Helicities
- NLO QCD corrections to tri-boson production
- S@M, a Mathematica Implementation of the Spinor-Helicity Formalism
- On Triple-Cut of Scattering Amplitudes
- Unitarity Cuts with Massive Propagators and Algebraic Expressions for Coefficients
- One-loop phi-MHV amplitudes using the unitarity bootstrap
- Closed-Form Decomposition of One-Loop Massive Amplitudes
- All One-loop Maximally Helicity Violating Gluonic Amplitudes in QCD
- Holomorphic Anomaly Of Unitarity Cuts And One-Loop Gauge Theory Amplitudes
- The NLO multileg working group: summary report
- Six-Photon Amplitudes