The leading jet transverse momentum in inclusive jet production and with a loose jet veto
arXiv:1912.06673 · doi:10.1007/JHEP03(2020)159
Abstract
We study the transverse momentum of the leading jet in the limit where the jet radius is small, . We introduce the leading-jet function to calculate this cross section for an inclusive jet sample, and the subleading-jet function when a loose veto on additional jets is imposed, i.e. . These jet functions are calculated at next-to-leading order in QCD and the resummation of jet radius logarithms is explored. We present phenomenological results for Higgs + 1 jet production, for both the jet and Higgs transverse momentum distribution. We find that, while the limit of the cross section provides a good description of the full NLO result, even for values as large as , simply retaining the leading logarithm at this order does not. Indeed, the NLO contribution to the hard function and, to a lesser extent, non-logarithmic corrections to the jet function are sizable and must be included to obtain the correct cross section. In the inclusive cross section we find that the corrections are several precent, while in exclusive cross sections at large and small they can reach 20%. However, it is not clear how important the resummation of these logarithms is, given the presence of other large corrections at NNLO.
arXiv commentv3: minor typo corrected, 22 pages, 6 figures
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