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Measurements of open charm and beauty production cross sections in deepinelastic $ep$ scattering at HERA from the H1 and ZEUS Collaborations arecombined. Reduced cross sections are obtained in the kinematic range ofnegative four-momentum transfer squared of the photon $2.5$ GeV$^2<Q^2<2000$GeV$^2$ and Bjorken scaling variable$3\cdot10^{-5}<x_{\text{Bj}}<5\cdot10^{-2}$. The combination method accountsfor the correlations of the statistical and systematic uncertainties among thedifferent datasets. Perturbative QCD calculations are compared to the combineddata. A next-to-leading order QCD analysis is performed using these datatogether with the combined inclusive deep inelastic scattering cross sectionsfrom HERA. The running charm- and beauty-quark masses are determined as$m_c(m_c) =1.290^{+0.046}_{-0.041}\text{(exp/fit)}^{+0.062}_{-0.014}\text{(model)}^{+0.003}_{-0.031}\text{(parameterisation)}$GeV and $m_b(m_b) =4.049^{+0.104}_{-0.109}\text{(exp/fit)}^{+0.090}_{-0.032}\text{(model)}^{+0.001}_{-0.031}\text{(parameterisation)}$~GeV.

Combination and QCD analysis of charm and beauty production cross-section measurements in deep inelastic $ep$ scattering at HERA