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MHV rules for Higgs plus multi-gluon amplitudes

Dixon, L.J.; Glover, E.W.N.; Khoze, V.V.


L.J. Dixon


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.


Dixon, L., Glover, E., & Khoze, V. (2004). MHV rules for Higgs plus multi-gluon amplitudes. Journal of High Energy Physics, 2004(12),

Journal Article Type Article
Publication Date Dec 1, 2004
Deposit Date May 8, 2008
Publicly Available Date May 8, 2008
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Electronic ISSN 1029-8479
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2004
Issue 12
Keywords QCD, Higgs physics, Jets, Hadronic colliders.


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