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Next-to-leading Corrections to the Higgs Boson Transverse Momentum Spectrum in Gluon Fusion

Christopher J. Glosser1 and Carl R. Schmidt2

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We present a fully analytic calculation of the Higgs boson transverse momentum and rapidity distributions, for nonzero Higgs pbot, at next-to-leading order in the infinite-top-mass approximation. We separate the cross section into a part that contains the dominant soft, virtual, collinear, and small-pbot-enhanced contributions, and the remainder, which is organized by the contributions due to different parton helicities. We use this cross section to investigate analytically the small-pbot limit and compare with the expectation from the resummation of large logarithms of the type ln mH/pbot. We also compute numerically the cross section at moderate pbot where a fixed-order calculation is reliable. We find a K-factor that varies from ≈ 1.6−1.8, and a reduction in the scale dependence, as compared to leading order. Our analysis suggests that the contribution of current parton distributions to the total uncertainty on this cross section at the LHC is probably less than that due to uncalculated higher orders.


Keywords

Higgs Physics

Hadronic Colliders

QCD

 

E-print Number: hep-ph/0209248

Cited: by |

Refers: to

PACS

14.80.Bn Standard-model Higgs bosons

12.38.-t Quantum chromodynamics

13.85.-t Hadron-induced high- and super-high-energy interactions (energy>10 GeV)

Subjects

Particle physics and field theory

Dates

Issue 12 (December 2002)

Received 28 September 2002, accepted for publication 4 December 2002

Published 9 January 2003



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