Dijet invariant mass distribution in top quark hadronic decay with QCD corrections

Abstract

The dijet invariant mass distributions from the hadronic decay of unpolarized top quark (t → bW + followed by W + → ud) are calculated, including the next-to-leading order QCD radiative corrections. We treat the top decay in the complex mass scheme due to the existence of the intermediate state W boson. Our analytical expressions are also available in different dimensional regularization schemes and γ 5 strategies. Finally, in order to construct the jets, we use different jet algorithms to compare their influences on our results. The obtained dijet mass distributions from the top quark decay are useful to distinguish these dijets from those produced via other sources and to clarify the issue about the recent CDF Collaborations' W jj anomaly.

Feynman rules for the rational part of the standard model one-loop amplitudes in the ’t Hooft-Veltman γ 5 scheme

“…Actually, the violation of the anti-commutation relation between γ 5 and γ µ in HV spoils the Ward identity, and a finite renormalization is needed in this scheme to obtain the same expressions in HV and KKS (see the details in Ref. [32]). …”

“…The generic effective vertex is shown in Fig.5 (e) with the following expression 32) with the actual values of S, V 1 , V 2 and 33) where…”