Abstract
We compute the two-loop QCD corrections to the heavy quark form factors in case of the vector, axial-vector, scalar and pseudo-scalar currents up to second order in the dimensional parameter $\epsilon = (4-D)/2$. These terms are required in the renormalization of the higher order corrections to these form factors.
Highlights
Since its discovery [1,2] in 1995, the top quark has been studied extensively both in theoretical and experimental premises
While these precise measurements provide a strong ground for testing the predictions within the SM, beyond the Standard Model (BSM) physics scenarios can hide under those small uncertainties
We focus on perturbative quantum chromodynamics (QCD) corrections to the form factors involving heavy quarks which are basic building blocks of various physical quantities concerning top quark pair production
Summary
Since its discovery [1,2] in 1995, the top quark has been studied extensively both in theoretical and experimental premises. Due to the combined effort from both the theoretical and experimental sides, a striking accuracy has been achieved in many observables; e.g., the uncertainties on the predictions of the inclusive production cross section of a top quark pair are around 5% at a fixed top quark mass of mt 1⁄4 172.5 GeV While these precise measurements provide a strong ground for testing the predictions within the SM, beyond the Standard Model (BSM) physics scenarios can hide under those small uncertainties. We compute the contributions to the massive form factors up to Oðε2Þ for different currents, namely, vector, axial-vector, scalar and pseudoscalar currents, which serve as input for ongoing and future threeand four-loop calculations. A part of it is presented in the appendices and the Oðε2Þ terms are only given in computer readable form in a file attached to this paper
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