Electroweak radiative corrections to single Higgs-boson production in e+e- annihilation

TL;DR

This work computes the full electroweak $O(\alpha)$ radiative corrections to single Higgs-boson production in $e^+e^-$ annihilation, focusing on the $\nu\bar{\nu}H$ final state via both Higgs-strahlung and vector-boson fusion.It combines two independent calculations, includes initial-state radiation to higher orders via structure functions, and uses the $G_\mu$-scheme with on-shell renormalization, along with two Z-width treatments for robust cross-checks.Results show that initial-state radiation reduces the cross section by about 7% at high energies, with even larger reductions near the $Z H$ threshold, while non-ISR bosonic and fermionic corrections are at the few-percent level and vary by channel.The paper clarifies past discrepancies in fermionic corrections by highlighting the impact of input-parameter schemes and provides cross-checks against earlier calculations to ensure consistency across schemes.

Abstract

We have calculated the complete electroweak O(alpha) radiative corrections to the single Higgs-boson production processes e+ e- --> nu_l anti-nu_l H (l=e,mu,tau) in the electroweak Standard Model. Initial-state radiation beyond O(alpha) is included in the structure-function approach. The calculation of the corrections is briefly described, and numerical results are presented for the total cross section. In the G_mu scheme, the bulk of the corrections is due to initial-state radiation, which affects the cross section at the level of -7% at high energies and even more in the ZH threshold region. The remaining bosonic and fermionic corrections are at the level of a few per cent. The confusing situation in the literature regarding differing results for the fermionic corrections to this process is clarified.

Figures (4)

• Figure 1: Lowest-order cross section and contributions from ${\rm Z}$ Z${\rm H}$ H$$-production and ${\rm W}$ W${\rm W}$ W$$-fusion channels for $M{\rm H}$ H$$M_${\rm H}$$= 115 \,{\rm GeV}$ and $M{\rm H}$ H$$M_${\rm H}$$= 150 \,{\rm GeV}$
• Figure 2: Relative electroweak corrections to the complete process ${\rm e^+}$ e^+${\rm e^-}$ e^-$\to\nu\bar{\nu}{\rm H}$ H$$ and to the contributions from ${\rm Z}$ Z${\rm H}$ H$$-production and ${\rm W}$ W${\rm W}$ W$$-fusion channels for $M{\rm H}$ H$$M_${\rm H}$$= 115 \,{\rm GeV}$ and $M{\rm H}$ H$$M_${\rm H}$$= 150 \,{\rm GeV}$
• Figure 3: Relative electroweak corrections to the ${\rm Z}$ Z${\rm H}$ H$$-production (left) and ${\rm W}$ W${\rm W}$ W$$-fusion (right) channels resulting from $\cal{O}\alpha)$O(α)$$ ISR, ISR beyond $\cal{O}\alpha)$O(α)$$, fermion loops, and non-ISR bosonic corrections for $M{\rm H}$ H$$M_${\rm H}$$= 150 \,{\rm GeV}$
• Figure 4: Relative electroweak corrections to the complete lowest-order cross sections resulting from $\cal{O}\alpha)$O(α)$$ ISR, ISR beyond $\cal{O}\alpha)$O(α)$$, fermion loops, and non-ISR bosonic corrections for $M{\rm H}$ H$$M_${\rm H}$$= 150 \,{\rm GeV}$