We evaluate the one-loop soft current for emission of two gluons or a quark-anti-quark pair in massless Quantum Chromodynamics. The results are exact dimensional regularisation up to single Feynman integral. Two terms Taylor series latter integral as function $\epsilon \equiv (4-d)/2$ with $d$ dimension spacetime available from recent calculation triple-collinear splitting functions. Our formulae necessary construction subtraction scheme evaluation next-to-next-to-next-to-leading order cross...

We evaluate the top-bottom interference contribution to fully inclusive Higgs production cross section at next-to-next-to-leading order in QCD. Although bottom-quark-mass effects are power suppressed, accuracy of state-of-the-art theory predictions makes an exact determination this effect indispensable. The total 13 TeV is -1.99(1)_{-0.15}^{+0.30} pb, while pure O(α_{s}^{4}) correction 0.43 pb. With result, we address one leading uncertainties section.

A bstract We elucidate the structure of next-to-leading-power soft-gluon expansion arbitrary one-loop massless-QCD amplitudes. The is given in terms universal colour-, spin- and flavour-dependent operators acting on process-dependent gauge-invariant result proven using method expansion-by-regions tested numerically non-trivial processes with up to six partons. In principle, collinear-region contributions are expressed convolutions jet amplitudes two collinear However, we evaluate these...

We examine the effect of finite top- and bottom-quark masses on Higgs production cross section in gluon-gluon fusion channel. employ both $\overline{\text{MS}}$ on-shell renormalisation for quark provide a thorough comparison. Furthermore, we explore alternative treatments masses, particular four-flavour scheme, investigate their impact section. Our work also presents novel predictions differential sections rapidity. The results lead to significant reduction scale uncertainties, our analysis...

We elucidate the structure of next-to-leading-power soft-gluon expansion arbitrary one-loop massless-QCD amplitudes. The is given in terms universal colour-, spin- and flavour-dependent operators acting on process-dependent gauge-invariant result proven using method expansion-by-regions tested numerically non-trivial processes with up to six partons. In principle, collinear-region contributions are expressed convolutions jet amplitudes two collinear However, we evaluate these exactly for...

We evaluate the top-bottom interference contribution to fully-inclusive Higgs production cross section at next-to-next-to-leading order in QCD. Although bottom-quark-mass effects are power-suppressed, accuracy of state-of-the-art theory predictions makes an exact determination this effect indispensable. The total 13 TeV is $-1.99(1)^{+0.30}_{-0.15}$ pb, while pure $\mathcal{O}(\alpha_s^4)$ correction 0.43 pb. With result, we address one leading uncertainties section.

We evaluate the one-loop soft current for emission of two gluons or a quark-anti-quark pair in massless Quantum Chromodynamics. The results are exact dimensional regularisation up to single Feynman integral. Two terms Taylor series latter integral as function $ε\equiv (4-d)/2$ with $d$ dimension spacetime available from recent calculation triple-collinear splitting functions. Our formulae necessary construction subtraction scheme evaluation next-to-next-to-next-to-leading order cross sections QCD.