{ "id": "1510.01686", "version": "v1", "published": "2015-10-06T18:29:06.000Z", "updated": "2015-10-06T18:29:06.000Z", "title": "Inclusive Higgs Production at Large Transverse Momentum", "authors": [ "Eric Braaten", "Hong Zhang" ], "comment": "39 pages, 9 figures", "categories": [ "hep-ph" ], "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 $q\\bar{q}\\to H t\\bar t$ 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.", "revisions": [ { "version": "v1", "updated": "2015-10-06T18:29:06.000Z" } ], "analyses": { "keywords": [ "large transverse momentum", "inclusive higgs production", "factorization formula", "complete leading-order cross section", "important fragmentation functions" ], "publication": { "doi": "10.1103/PhysRevD.93.053014" }, "note": { "typesetting": "TeX", "pages": 39, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1396345 } } }