The charm quark mass is one of the fundamental parameters of the Standard
Model Lagrangian. In this work we present a determination of the MSbar charm
mass from a fit to the inclusive and charm HERA deep-inelastic structure
function data. The analysis is performed within the xFitter framework, with
structure functions computed in the FONLL general-mass scheme as implemented in
APFEL. In the case of the FONLL-C scheme, we obtain mc(mc) = 1.335 +-
0.043(exp) +0.019 -0.000(param) +0.011 -0.008(mod) +0.033 -0.008(th) GeV. We
also perform an analogous determination in the fixed-flavor-number scheme at
next-to-leading order, finding mc(mc) = 1.318 +- 0.054(exp) +0.011
-0.010(param) +0.015 -0.019(mod) +0.045 -0.004(th) GeV, compatible with the
FONLL-C value. Our results are consistent with previous determinations from DIS
data as well as with the PDG world average.Comment: 37 pages, 12 figures, 3 table