Abstract
The single-top production is an important process at the LHC to test the Standard Model (SM) and search for the new physics beyond the SM. Although the complete next-to-next-to-leading order (NNLO) QCD correction to the single-top production is crucial, this calculation is still challenging at present. In order to efficiently reduce the NNLO single-top amplitude, we improve the auxiliary mass flow (AMF) method by introducing the $\epsilon$ truncation. For demonstration we choose one typical planar double-box diagram for the $tW$ production. It is shown that one coefficient of the form factors on its amplitude can be systematically reduced into the linear combination of 198 scalar integrals.
Highlights
The top quark is the heaviest elementary particle in the Standard Model (SM)
It is shown that one coefficient of the form factors on its amplitude can be systematically reduced into the linear combination of 198 scalar integrals
We reduce one planar double-box diagram for the tW production as the demonstration
Summary
The top quark is the heaviest elementary particle in the Standard Model (SM). In 1994, the discovery of the top quark at the Tevatron [1,2] meant the third generation of fermions in the SM is complete. The dominant contribution to the top quark production is the top-pair production via the strong interaction, such as qq → tt and gg → tt. This process was discovered two decades ago [1,2]. It can be used to numerically evaluate the master integrals and the phase space [92,93] In amplitude reduction, this method can avoid complicated calculations of the inverse matrix and the dimension shift while the master integrals could be chosen freely.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
