NNLO compatibility between pQCD theory and phenomenology in determination of the $b$-quark pole and \MSbar running masses

Abstract

Measurements of open b-quark production in deep inelastic scattering (DIS) of e ± p at HERA provide an important test of pQCD theory within the Standard Model and is used to constrain the proton PDFs. In this contribution, we attempt to determine the b-quark pole mass M b and MS running mass m b , using phenomenology of H1, ZEUS and (H1 + ZEUS) F bb 2 beauty vertex production data sets and pQCD theory. Then we discuss about the compatibility between pQCD