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The mass of the lightest gluelump

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Authors: Cesar Ayala, Antonio Pineda

Year

2025

Paper ID

15550

Status

Peer-reviewed

Abstract Read

~2 min

Abstract Words

155

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Abstract

Abstract We consider QCD with n f = 0 and n f = 3 light quarks. We present the most up-to-date determinations for the normalizations of the leading renormalons of the pole mass, the singlet static potential, the octet static potential, and the gluelump energy. These read Z m MS ¯ ${Z}_m^{overline{textrm{MS}}}= − Z V s MS ¯ / 2-{Z}_{V_s}^{overline{textrm{MS}}}/2= {0.604(17), 0.551(20)}, Z V o MS ¯{Z}_{V_o}^{overline{textrm{MS}}}= {0.136(8), 0.121(13)}, and Z A MS ¯{Z}_A^{overline{textrm{MS}}}$ = {–1.343(36), –1.224(43)}, for n f = 0 and n f = 3, respectively. For n f = 0, we obtain two independent renormalization group invariant and renormalization scale independent determinations of the energy of the ground state gluelump in the principal value summation scheme: Λ B PV = 2.47 9 r 0 − 1 ${Lambda}_B^{textrm{PV}}=2.47(9){r}₀^-1and Λ B PV = 2.38 11 r 0 − 1{Lambda}_B^{textrm{PV}}=2.38(11){r}₀^-1where r 0 − 1{r}₀^-1≈ 400 MeV. Averaging these results, we obtain Λ B PV = 2.44 7 r 0 − 1{Lambda}_B^{textrm{PV}}=2.44(7){r}₀^-1$ .

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Abstract We consider QCD with n f = 0 and n f = 3 light quarks.

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References & Citation Signals

[1] DOI https://doi.org/10.1007/JHEP10(2025)176 [2] Publisher https://doi.org/10.1007/JHEP10(2025)176

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