Evolution of structure functions at NLO without PDFs

Autor:	Lappi, Tuomas, Mäntysaari, Heikki, Paukkunen, Hannu, Tevio, Mirja
Rok vydání:	2024
Předmět:	High Energy Physics - Phenomenology
Druh dokumentu:	Working Paper
Popis:	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. Comment: 6 pages, 1 figure. Talk by M.T at DIS2024
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2407.11704 Zobrazit plný text záznamu View this record from Arxiv