MHV rules for Higgs plus multi-gluon amplitudes

By Simon Badger, E. Glover, V. Khoze. 2004

216 citations recorded by the source corpus.

We present MHV-rules for constructing perturbative amplitudes for a Higgs boson and an arbitrary number of partons. We give explicit expressions for amplitudes involving a Higgs and three negative helicity partons and any number of positive helicity partons - the NMHV amplitudes. We also present a recursive formulation of MHV rules that incorporates the Higgs, quarks and gluons. The recursion relations are valid for all non-MHV amplitudes. The general results agree numerically with all of the available Higgs + n-parton amplitudes and in some cases provide considerably shorter expressions.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/26580ad35398471631463991b738617330fbb4fd

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In Nuclear and High Energy Physics

1. Kasper Risager
2. F. Cachazo
3. R. Britto
4. Bo Feng
5. C. Cheung
6. A. Brandhuber
7. G. Travaglini
8. V. Khoze

Citations in the corpus

• A recursion relation for gravity amplitudes (2005, methodology): “Further progress in the calculation of one-loop amplitudes was achieved using the cutconstructibility approach [5,6] in [7], CSW diagrams [8–11], the holomorphic anomaly [12– 15] and generalized cuts [16–18].”
• Comix, a new matrix element generator (2008, methodology): “level amplitudes with massless [3] and massive [4] external particles and are now widely used. The CSW vertex rules [5] as off-shell techniques are employed in many analytical and numerical approaches [6,7]. Apart from major developments in the computation of loop amplitudes, many attempts have been ”
• New recursion relations for tree amplitudes of gluons (2004, background): “section 5, we discuss some interesting directions for the future. We give an outline of 2 It would also be possible to derive this amplitude from a suitable limit of the NNMHV amplitudes presented in [20]. 3 a possible proof of our recursion relations and suggest a way to prove the crucial missing s”
• Colour-Kinematics duality for one-loop rational amplitudes (2013, background): “Before starting any calculation it should be noted this particular form factor has a known expression at tree level from its relation to effective Higgs-gluon couplings, see [53],”
• Recursion relations for gauge theory amplitudes with massive particles. (2005, methodology): “)(l 1 +l 2)l 1|1] + [1|l 2l 1|1]2 h23i3 s 1234s 234 h34i h2|(3 +4)(l 1 +l 2)l 1|1] h4|2 +3|1] − [1|(2 +3)l 1|1]2 [1|(2 +3)l 2|4]2 s 123Q 3 [12] [23] [3|(1 +2)l 1|1] [4|(1 +2 +3)l 1|1] h4|2 +3|1] + µ2 [14]4 s 1234 [12] [23] [34] [4|(1 +2+3)l 1|1] (3.24) All of the above six-point amplitudes have been”
• A direct proof of the CSW rules (2005, methodology): “wing together certain on-shell amplitudes using scalar propagators. This procedure has since been known as the CSW rules. The CSW conjecture has led to several developments in tree-level calculations [4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18], and it was also used for some one-loop calcu”