Alladi Ramakrishnan Hall

di-Higgs production at N3LO+N3LL

Ajjath A H

Paris, LPTHE

We present the soft-gluon resummation for the Higgs boson pair production
in the gluon fusion channel to the next-to-next-to-next-to-leading
logarithmic(N3LL) accuracy. After matching N3LL to the
next-to-next-to-next-to-leading order (N3LO) QCD calculation in the
infinite top quark mass approximation, we show that the central values of
the inclusive cross sections are quite stable with respect to N3LO, while
the conventional renormalisation and factorisation scale uncertainties are
reduced by a factor of two, reaching to the sub-percent level. After
combining with the full top-quark mass dependent next-to-leading order QCD
results, our most advanced predictions are presented for both the inclusive
total cross sections and the differential invariant mass distributions of
the Higgs pair.