Weak corrections and high $E_T$ jets at Tevatron

Abstract

We calculate one-loop (purely) Weak (W) corrections of ${\cal O}(α_{\mathrm{S}}^2α_{\mathrm{W}})$ to the partonic cross section of two jets at Tevatron and prove that they can be larger than the tree-level ${\cal O}(α_{\mathrm{S}}α_{\mathrm{EW}})$ and ${\cal O}(α_{\mathrm{EW}}^2)$ Electro-Weak (EW) ones. At high transverse energy of the jets, all such corrections may lead to detectable effects of, e.g., -10% or so, with respect to the leading-order (LO) QCD term of ${\cal O}(α_{\mathrm{S}}^2)$, for the highest value so far probed by Run 2, depending on the factorisation/renormalisation scale. Besides, they increase significantly with jet transverse energy. Hence, our results show that EW corrections may be needed to fit the Standard Model (SM) to present and future Tevatron jet data.

Figures (4)

• Figure 1: The effects of the ${\cal O}(\alpha_{\mathrm{S}}^2\alpha_{\mathrm{W}})$ corrections relative to the LO SM results for Run 1(Run 2) using CTEQ3L(CTEQ6L1) as PDFs.
• Figure 2: The effects of the ${\cal O}(\alpha_{\mathrm{S}}^2\alpha_{\mathrm{W}})$ corrections relative to the LO SM results for Run 2 in the presence of two sets of up-to-date PDFs (CTEQ6L and CTEQ6L1).
• Figure 3: The effects of the ${\cal O}(\alpha_{\mathrm{S}}\alpha_{\mathrm{EW}}+\alpha_{\mathrm{EW}}^2)$ (LO SM) and the latter plus ${\cal O}(\alpha_{\mathrm{S}}^2\alpha_{\mathrm{W}})$ (LO SM + NLO W) corrections relative to the LO QCD of ${\cal O}(\alpha_{\mathrm{S}}^2)$ results for Run 2 in the presence of up-to-date PDFs (CTEQ6L1).
• Figure 4: The effects of the ${\cal O}(\alpha_{\mathrm{S}}\alpha_{\mathrm{EW}}+\alpha_{\mathrm{EW}}^2 +\alpha_{\mathrm{S}}^2\alpha_{\mathrm{W}})$ (LO SM + NLO W) corrections relative to the LO QCD results as function of $\mu$ for Run 2 in the presence of up-to-date PDFs (CTEQ6L1) for two choices of jet transverse energy.