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Perturbative hysteresis and emergent resummation scales

We investigate hysteresis effects in the perturbative solution of renormalization group equations (RGEs). We present examples for the QCD running coupling and proton’s parton distribution functions (PDFs), relevant to precision physics at the Large Hadron Collider and future collider experiments. We...

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Detalles Bibliográficos
Autores principales: Bertone, V., Bozzi, G., Hautmann, F.
Lenguaje:eng
Publicado: 2022
Materias:
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.105.096003
http://cds.cern.ch/record/2801250
Descripción
Sumario:We investigate hysteresis effects in the perturbative solution of renormalization group equations (RGEs). We present examples for the QCD running coupling and proton’s parton distribution functions (PDFs), relevant to precision physics at the Large Hadron Collider and future collider experiments. We propose the use of resummation scales to take into account the theoretical uncertainties from the solution of the RGEs. As a case study, we consider the <math display="inline"><msub><mi>F</mi><mn>2</mn></msub></math> structure function in a region relevant to the extraction of PDFs.