Electroweak corrections to Higgs+jet production in gluon fusion

TL;DR

The paper delivers the first complete NLO electroweak corrections to Higgs production in association with a jet via gluon fusion, including full top-quark mass dependence. It advances the calculation by using differential equations together with an optimized basis of master integrals to handle a large set of multi-scale two-loop integrals, and it analyzes three EW renormalization schemes. The electroweak corrections amount to a few percent of the total cross section (≈4.3% in the $G_μ$ scheme) and exhibit significant $p_T$-dependent behavior in differential distributions, while substantially reducing LO scheme ambiguities. These results enhance precision predictions for Higgs+jet observables at the LHC and provide practical grids for phenomenological studies in future collider analyses.

Abstract

We present the calculation of complete next-to-leading order electroweak corrections to the Higgs boson production in $gg\to g H$ channel. We apply the method of differential equations combined with the selection of optimized master integrals to accomplish the calculation of master integrals. We consider three distinct renormalization schemes. At leading order, the differential distributions and the total cross section show a strong dependence on the renormalization scheme. However, these discrepancies are considerably suppressed once electroweak corrections are taken into account. For $G_μ$ scheme, the electroweak correction amounts to approximately $4.3\%$ of the total cross section. Importantly, we find that the EW corrections exhibit a strong dependence on Higgs transverse momentum.

Figures (5)

• Figure 1: Representative one-loop Feynman diagrams for $gg \to gH$.
• Figure 2: Representative two-loop Feynman diagrams for EW corrections to $gg \to g H$.
• Figure 3: Relative EW corrections in $G_\mu$, $\alpha(0)$, and $\alpha(m_Z)$ schemes. The corrections as a function of Higgs pseudorapidity $\eta$, Higgs $p_T$, and $m_{hj}$. The $K$-factor is $d\sigma_{\rm NLO_{EW}} /d\sigma_{\rm LO}$.
• Figure 4: Ratios between the distributions in $\alpha(0)$ or $\alpha(m_Z)$ schemes and the ones in $G_{\mu}$ scheme.
• Figure 5: Differential cross section with and without NLO EW corrections in $G_{\mu}$ scheme. The upper ones are the differential cross sections and the lower ones are the relative EW corrections as a function of Higgs pseudorapidity $\eta$, Higgs transverse momentum $p_T$, and the invariant mass of Higgs and jet.