Speaker
Description
We consider the renormalization group equations within the Standard Model Effective Field Theory and compute two-loop contributions proportional to the top quark Yukawa coupling for the operator generating an effective Higgs-gluon coupling, focusing on the Yukawa-like operator.
These two-loop running effects
are relevant for processes where the effective Higgs-gluon coupling contributes ata lower loop order compared to the Standard Model contribution and where a dynamical scale choice is adopted.
Such a situation arises, for instance, in the invariant mass distributin in Higgs pair production. We investigate the phenomenological impact of our computations, observing a large impact close to the threshold.
We also comment on the differences arising from using a fixed renormalization scale in comparison with a dynamical renormalization scale.