Dixon, L. J. and Glover, E. W. N. and Khoze, V. V. (2004) 'MHV rules for Higgs plus multi-gluon amplitudes.', Journal of high energy physics., 2004 (12). 015.
We use tree-level perturbation theory to show how non-supersymmetric one-loop scattering amplitudes for a Higgs boson plus an arbitrary number of partons can be constructed, in the limit of a heavy top quark, from a generalization of the scalar graph approach of Cachazo, Svrcek and Witten. The Higgs boson couples to gluons through a top quark loop which generates, for large mt, a dimension-5 operator Htr GμνGμν. This effective interaction leads to amplitudes which cannot be described by the standard MHV rules; for example, amplitudes where all of the gluons have positive helicity. We split the effective interaction into the sum of two terms, one holomorphic (selfdual) and one anti-holomorphic (anti-selfdual). The holomorphic interactions give a new set of MHV vertices — identical in form to those of pure gauge theory, except for momentum conservation — that can be combined with pure gauge theory MHV vertices to produce a tower of amplitudes with more than two negative helicities. Similarly, the anti-holomorphic interactions give anti-MHV vertices that can be combined with pure gauge theory anti-MHV vertices to produce a tower of amplitudes with more than two positive helicities. A Higgs boson amplitude is the sum of one MHV-tower amplitude and one anti-MHV-tower amplitude. We present all MHV-tower amplitudes with up to four negative-helicity gluons and any number of positive-helicity gluons (NNMHV). These rules reproduce all of the available analytic formulae for Higgs + n-gluon scattering (n ≤ 5) at tree level, in some cases yielding considerably shorter expressions.
|Keywords:||QCD, Higgs physics, Jets, Hadronic colliders.|
|Full text:||PDF (arXiv version) - Other (377Kb)|
|Publisher Web site:||http://dx.doi.org/10.1088/1126-6708/2004/12/015|
|Record Created:||08 May 2008|
|Last Modified:||17 Jun 2015 10:46|
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