# A determination of m c (m c ) from HERA data using a matched heavy-flavor scheme

Journal of High Energy Physics, Aug 2016

The charm quark mass is one of the fundamental parameters of the Standard Model Lagrangian. In this work we present a determination of the $$\overline{\mathrm{MS}}$$ 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 m c (m c ) = 1.335 ± 0.043(exp) − 0.000 + 0.019 (param) − 0.008 + 0.011 (mod) − 0.008 + 0.003 (th) GeV. We also perform an analogous determination in the fixed-flavor-number scheme at next-to-leading order, finding m c (m c ) = 1.318 ± 0.054(exp) − 0.010 + 0.011 (param) − 0.004 + 0.015 (mod) − 0.004 + 0.045 (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.

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Valerio Bertone, Stefano Camarda, Amanda Cooper-Sarkar. A determination of m c (m c ) from HERA data using a matched heavy-flavor scheme, Journal of High Energy Physics, 2016, 50, DOI: 10.1007/JHEP08(2016)050