Jet-vetoed Higgs cross section in gluon fusion at N3LO+NNLL with small-R resummation

TL;DR

This paper provides advanced theoretical predictions for Higgs production cross sections with jet vetoes at the LHC, incorporating high-order corrections and resummations to improve accuracy and reduce uncertainties.

Contribution

The work introduces N$^3$LO corrections combined with NNLL resummation for jet vetoes in Higgs production, enhancing precision over previous predictions.

Findings

Matched prediction increases by about 2% at 13 TeV

Uncertainty reduces from over 10% to less than 5%

Results are consistent across different scale choices

Abstract

We present new results for the jet-veto efficiency and zero-jet cross section in Higgs production through gluon fusion. We incorporate the N$^3$LO corrections to the total cross section, the NNLO corrections to the 1-jet rate, NNLL resummation for the jet $p_t$ and LL resummation for the jet radius dependence. Our results include known finite-mass corrections and are obtained using the jet-veto efficiency method, updated relative to earlier work to take into account what has been learnt from the new precision calculations that we include. For 13 TeV collisions and using our default choice for the renormalisation and factorisation scales, $\mu_0=m_H/2$, the matched prediction for the jet-veto efficiency increases the pure NNNLO prediction by about 2% and the two have comparable uncertainties. Relative to NNLO+NNLL results, the new prediction is 2% smaller and the uncertainty reduces from more than 10% to less than 5%. Results are also presented for the central scale $\mu_0=m_H$.