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Evolution of structure functions at NLO without PDFs by Lappi, Tuomas; Mäntysaari, Heikki; Paukkunen, Hannu; Tevio, Mirja is a scholarly article available to read on EtoBox.

What is Evolution of structure functions at NLO without PDFs about?

We formulate the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution of the Deep Inelastic Scattering (DIS) structure functions $F_2$ and $F_{\rm L}$ at next to leading order in $\alpha_s$ (NLO) directly in terms of the structure functions rather than parton distributions (PDFs). We call this the physical basis approach. In practice, we first express the NLO quark singlet and gluon PDFs in terms of the structure functions $F_2$ and $F_{\rm L}$ in momentum space. Employing these expressions in the DGLAP evolution, we arrive at the evolution equations for $F_2$ and $F_{\rm L}$ in the physical basis. We demonstrate how one is free from defining a factorization scale and scheme when using the physical basis evolution equations. We also discuss the process of applying the NLO physical basis to global analysis of LHC cross sections.

Author

Lappi, Tuomas; Mäntysaari, Heikki; Paukkunen, Hannu; Tevio, Mirja

Published

2024

Language

EN