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Parton distribution functions at LO,NLO and NNLO with correlated uncertainties between orders |
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| Authors: | P Belov D Britzger S Camarda A M Cooper-Sarkar C Diaconu J Feltesse A Gizhko A Glazov V Kolesnikov K Lohwasser A Luszczak V Myronenko H Pirumov R Plačakytė K Rabbertz V Radescu A Sapronov A Schöning S Shushkevich W Slominski P Starovoitov M Sutton J Tomaszewska O Turkot G Watt K Wichmann M Lisovyi HERAFitter developers’ team |
| Institution: | 1. DESY, Hamburg, Germany 12. Department of Physics, St. Petersburg State University, Ulyanovskaya 1, 198504?, St. Petersburg, Russia 2. Department of Physics, University of Oxford, Oxford, UK 3. CPPM, IN2P3-CNRS, Univ. Mediterranee, Marseille, France 13. CEA, DSM/Irfu, CE-Saclay, Gif-sur-Yvette, France 4. Joint Institute for Nuclear Research (JINR), Joliot-Curie 6, 141980?, Dubna, Moscow Region, Russia 14. DESY, Platanenallee 6, 15738?, Zeuthen, Germany 5. T. Kosciuszko Cracow University of Technology, Kraków, Poland 6. Institut für Experimentelle Kernphysik, Karlsruhe, Germany 10. Physikalisches Institut, Universit?t Heidelberg, Heidelberg, Germany 7. Institute of Physics, ?Jagiellonian University, Ul. Reymonta 4, 30-059?, Kraków, Poland 8. Department of Physics and Astronomy, Sussex House, University of Sussex, Brighton, BN1 9RH, UK 9. Faculty of Physics, Warsaw University of Technology, Koszykowa 75, 00-662?, Warsaw, Poland 11. Institute for Particle Physics Phenomenology, Durham University, Durham, DH1 3LE, UK |
| Abstract: | Sets of parton distribution functions (PDFs) of the proton are reported for the leading (LO), next-to-leading (NLO) and next-to-next-to-leading-order (NNLO) QCD calculations. The parton distribution functions are determined with the HERAFitter program using the data from the HERA experiments and preserving correlations between uncertainties for the LO, NLO and NNLO PDF sets. The sets are used to study cross-section ratios and their uncertainties when calculated at different orders in QCD. A reduction of the overall theoretical uncertainty is observed if correlations between the PDF sets are taken into account for the ratio of \(WW\) di-boson to \(Z\) boson production cross sections at the LHC. |
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