Inclusive Higgs Production at Large Transverse Momentum

Abstract

We present a factorization formula for the inclusive production of the Higgs boson at large transverse momentum $P_T$ that includes all terms with the leading power of $1/P_T^2$. The cross section is factorized into convolutions of parton distributions, infrared-safe hard-scattering cross sections for producing a parton, and fragmentation functions that give the distribution of the longitudinal momentum fraction of the Higgs relative to the fragmenting parton. The infrared-safe cross sections and the fragmentation functions are perturbatively calculable. The most important fragmentation functions are those for which the fragmenting parton is the top quark, gluon, $W$, $Z$, and the Higgs itself. We calculate the fragmentation functions at leading order in the Standard Model coupling constants. The factorization formula enables the resummation of large logarithms of $P_T/M_H$ due to final-state radiation by integrating evolution equations for the fragmentation functions. By comparing the cross section for the process $q\bar{q}\to Ht\bar{t}$ from the leading-power factorization formula at leading order in the coupling constants with the complete leading-order cross section, we infer that the error in the factorization formula decreases to less than 5\% for $P_T>600$ GeV at a future $100$ TeV collider.

39 pages, 9 figures

References in corpus (15)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Implications of CTEQ global analysis for collider observables
• Higgs boson production in association with a jet at next-to-next-to-leading order
• Precise QCD predictions for the production of Higgs+jet final states
• Charmed-Meson Fragmentation Functions with Finite-Mass Corrections
• Resummation and Matching of $b$-quark Mass Effects in $b\bar{b}H$ Production
• Effective Field Theory for Higgs Plus Jet Production
• Boosted Higgs Shapes
• Heavy Quarkonium Production at Collider Energies: Partonic Cross Section and Polarization
• Higgs boson production in association with a jet at NNLO using jettiness subtraction
• Usefulness of effective field theory for boosted Higgs production
• Top-Quark Initiated Processes at High-Energy Hadron Colliders
• Factorized power expansion for high-$p_T$ heavy quarkonium production
• Hadronic production of $W$ and $Z$ bosons at large transverse momentum

Cited by in corpus (6)

• Higgs Boson Production and Decay at Hadron Colliders
• Pushing Higgs Effective Theory over the Edge
• Les Houches 2021: Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Dark Matter from Electroweak Single Top Production
• Mass Dependence of Higgs Production at Large Transverse Momentum through a Bottom Quark Loop
• Higgs-boson production in top-quark fragmentation