Description
Measurements of open charm and beauty production cross sections in deep inelastic $ep$ scattering at HERA from the H1 and ZEUS Collaborations are combined. Reduced cross sections are obtained in the kinematic range of negative four-momentum transfer squared of the photon $2.5$~GeV$^2\le Q^2 \le 2000$ GeV$^2$ and Bjorken scaling variable $3 \cdot 10^{-5} \le x_{\rm Bj} \le 5 \cdot 10^{-2}$. The combination method accounts for the correlations of the statistical and systematic uncertainties among the different datasets. Perturbative QCD calculations are compared to the combined data. A next-to-leading order QCD analysis is performed using these data together with the combined inclusive deep inelastic scattering cross sections from HERA. The running charm- and beauty-quark masses are determined as $m_c(m_c) = 1.290^{+0.046}_{-0.041} {\rm (exp/fit)}$ ${}^{+0.062}_{-0.014} {\rm (model)}$ ${}^{+0.003}_{-0.031} {\rm (parameterisation)}$ GeV and $m_b(m_b) = 4.049^{+0.104}_{-0.109} {\rm (exp/fit)}$ ${}^{+0.090}_{-0.032} {\rm (model)}$ ${}^{+0.001}_{-0.031} {\rm (parameterisation)}$ GeV.
arxiv:1804.01019, accepted by EPJC.
