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- W3209870879 abstract "We investigate the renormalon ambiguity from bubble-chain diagrams in the isovector unpolarized quasiparton distribution function (PDF) of a hadron. We confirm the assertion by Braun, Vladimirov, and Zhang [Phys. Rev. D 99, 014013 (2019)] that the leading IR renormalon ambiguity is an $mathcal{O}({mathrm{ensuremath{Lambda}}}_{mathrm{QCD}}^{2}/{x}^{2}{P}_{z}^{2})$ effect, with $x$ the parton momentum fraction and ${P}_{z}$ the hadron momentum, together with a new $mathcal{O}(ensuremath{delta}(x){mathrm{ensuremath{Lambda}}}_{mathrm{QCD}}^{2}/{P}_{z}^{2})$ contribution such that the quark number is conserved. This implies the convergence of the perturbative matching kernel between a quasi-PDF and a PDF would eventually fail for small $x$. However, in both the $R$-scheme designed to cancel the leading IR renormalon and the typically used regularization-independent momentum subtraction scheme in lattice QCD for the same quasi-PDF, we find good convergence in the kernel based on three-loop bubble-chain diagram analyses. These results are encouraging for the quasi-PDF program. However, firm conclusions can only be drawn after the complete higher loop QCD calculations are carried out." @default.
- W3209870879 created "2021-11-08" @default.
- W3209870879 creator A5011816116 @default.
- W3209870879 creator A5082271298 @default.
- W3209870879 date "2021-11-02" @default.
- W3209870879 modified "2023-09-23" @default.
- W3209870879 title "Renormalon effects in quasiparton distributions" @default.
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