Next-to-Leading Order Results for t-tbar-h Production at the Tevatron

TL;DR

The next-to-leading order corrections drastically reduce the renormalization and factorization scale dependence of the Born cross section and slightly decrease the total cross section for renormalized and factorized scales between m(t) and 2m(t).

Abstract

We compute the O(alpha_s^3) total cross section for the process (p pbar -> t tbar h) in the Standard Model, at \sqrt{s}=2 TeV. The next-to-leading order corrections drastically reduce the renormalization and factorization scale dependence of the Born cross section and slightly decrease the total cross section for renormalization and factorization scales between m_t and 2m_t.

Figures (5)

• Figure 1: Dependence of $\sigma_{real}(p {\overline p}\rightarrow t {\overline t} h)$ on the soft cut-off $\delta_s$, at $\sqrt{s_H}\!=\!2$ TeV, for $M_h\!=\!120$ GeV, $\mu\!=\!m_t$, and $\delta_c=10^{-4}$. The lower scale shows the statistical error on $\sigma_{real}$.
• Figure 2: Dependence of $\sigma_{real}(p {\overline p}\rightarrow t {\overline t} h)$ on the collinear cut-off $\delta_c$, at $\sqrt{s_H}\!=\!2$ TeV, for $M_h\!=\!120$ GeV, $\mu\!=\!m_t$, and $\delta_s\!=\!0.005$. The lower scale shows the statistical error on $\sigma_{real}$.
• Figure 3: Dependence of $\sigma_{LO,NLO}(p {\overline p}\rightarrow t {\overline t} h)$ on the renormalization scale $\mu$, at $\sqrt{s_H}\!=\!2$ TeV, for $M_h\!=\!120$ GeV.
• Figure 4: $\sigma_{NLO}$ and $\sigma_{LO}$ for $p {\overline p} \rightarrow t {\overline t} h$ as functions of $M_h$, at $\sqrt{s_H}\!=\!2$ TeV, for $\mu\!=m_t$ and $\mu\!=\!2m_t$.
• Figure 5: K factor for $p {\overline p}\rightarrow t {\overline t} h$ as a function of $M_h$, at $\sqrt{s_H}\!=\!2$ TeV, for $\mu\!=m_t$ and $\mu\!=\!2m_t$ .