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• W2912800139 abstract "We revisit the scale evolution of the quark and gluon spin contributions to the proton spin, $frac{1}{2}mathrm{ensuremath{Delta}}mathrm{ensuremath{Sigma}}$ and $mathrm{ensuremath{Delta}}G$, using the three-loop results for the spin-dependent evolution kernels available in the literature. We argue that the evolution of the quark spin contribution may actually be extended to the four-loop order, and that to all orders a single anomalous dimension governs the evolution of both $mathrm{ensuremath{Delta}}mathrm{ensuremath{Sigma}}$ and $mathrm{ensuremath{Delta}}G$. We present analytical solutions of the evolution equations for $mathrm{ensuremath{Delta}}mathrm{ensuremath{Sigma}}$ and $mathrm{ensuremath{Delta}}G$ and investigate their scale dependence both to large and down to lower ``hadronic'' scales. We find that the solutions remain perturbatively stable even to low scales, where they come closer to simple quark model expectations. We discuss a curious scenario for the proton spin, in which even the gluon spin contribution is essentially scale independent and has a finite asymptotic value as the scale becomes large. We finally also show that perturbative three-loop evolution leads to a larger spin contribution of strange antiquarks than of strange quarks." @default.
• W2912800139 created "2019-02-21" @default.
• W2912800139 creator A5001512916 @default.
• W2912800139 creator A5061817690 @default.
• W2912800139 date "2019-03-06" @default.
• W2912800139 modified "2023-10-02" @default.
• W2912800139 title "Spin budget of the proton at NNLO and beyond" @default.
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• W2912800139 doi "https://doi.org/10.1103/physrevd.99.054001" @default.
• W2912800139 hasPublicationYear "2019" @default.
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