PoS - Proceedings of Science
Volume 432 - 16th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology (RADCOR2023) - Main session
Elimination of QCD Renormalization Scale and Scheme Ambiguities
L. di Giustino*, S.J. Brodsky, P.G. Ratcliffe, X.G. Wu and S.Q. Wang
Full text: pdf
Pre-published on: November 14, 2023
Published on: January 22, 2024
We present results for the thrust distribution in the
electron positron annihilation to the three jet process at NNLO in
the perturbative conformal window of QCD, as a function of the
number of flavors $N_f$. Given the existence of an infrared
interacting fixed point in this region, we can compare the
Conventional Scale Setting (CSS) and the Principle of Maximum
Conformality (PMC$_\infty$) methods along the entire
renormalization group flow from the highest energies to zero
energy. We then consider also the QED thrust, obtained as the
limit $N_c \rightarrow 0$ of the number of colors and we show
analogous comparison. QED in the low energy regime develops an
infrared non-interacting fixed point. Using these quantum field
theory limits as theoretical laboratories, we arrive at
interesting results showing new features of the PMC$_\infty$.
DOI: https://doi.org/10.22323/1.432.0071
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