Analytic one-loop amplitudes for a Higgs boson plus four partons

Journal Article · Tue Jun 02 04:00:00 EDT 2009 · Submitted to Journal of High Energy Physics (JHEP)

DOI:https://doi.org/10.1088/1126-6708/2009/08/058· OSTI ID:953855

Dixon, Lance J; Sofianatos, Yorgos

We compute the one-loop QCD amplitudes for the processes H{anti q}q{anti Q}Q and H{anti q}qgg, the latter restricted to the case of opposite-helicity gluons. Analytic expressions are presented for the color- and helicity-decomposed amplitudes. The coupling of the Higgs boson to gluons is treated by an effective interaction in the limit of large top quark mass. The Higgs field is split into a complex field {phi} and its complex conjugate {phi}{sup {dagger}}. The split is useful because amplitudes involving {phi} have different analytic structure from those involving {phi}{sup {dagger}}. We compute the cut-containing pieces of the amplitudes using generalized unitarity. The remaining rational parts are obtained by on-shell recursion. Our results for H{anti q}q{anti Q}Q agree with previous semi-numerical computations. We also show how to convert existing semi-numerical results for the production of a scalar Higgs boson into analogous results for a pseudoscalar Higgs boson.

• Research Organization: Stanford Linear Accelerator Center (SLAC)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC02-76SF00515
• OSTI ID: 953855
• Report Number(s): SLAC-PUB-13652; arXiv:0906.0008
• Journal Information: Submitted to Journal of High Energy Physics (JHEP), Journal Name: Submitted to Journal of High Energy Physics (JHEP)
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
COUPLING
GLUONS
HIGGS BOSONS
MASS
PSEUDOSCALARS
Phenomenology-HEP
HEPPH
QUANTUM CHROMODYNAMICS
SCALARS
T QUARKS
UNITARITY