2018 Impact factor 4.843
Particles and Fields

Eur. Phys. J. C 10, 395-403
DOI 10.1007/s100529900114

Extraction of parton distributions and $\alpha_{\mathrm {s}}
 $ from DIS data
within a Bayesian treatment of systematic errors

S.I. Alekhin

Institute for High Energy Physics, 142284 Protvino, Russia (e-mail: alekhin@mx.ihep.su)

Received: 5 May 1997 / Revised version: 12 October 1998 / Published online: 8 September 1999

We have performed a NLO QCD global fit of BCDMS, NMC, H1 and ZEUS data with full account of point-to-point correlations using the Bayesian approach to the treatment of systematic errors. Parton distributions in the proton with their experimental uncertainties, including both statistical and systematic, are obtained. The gluon distribution in a wide region of x is found to be softer than the gluon distribution extracted in standard global analyses which include prompt photon data. We obtain a robust estimate of $\alpha_{\mathrm {s}}(M_Z)=0.1146\pm0.0036~(\ge75\%~$C.L.) based on Chebyshev's inequality, which is compatible with an earlier determination of $\alpha_{\mathrm {s}}
 $ from the DIS data, but is less dependent on high-twist effects.

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