Analysis reveals precise gluelump energy measurements and renormalon normalizations, indicating their critical role in particle physics.
We give the most up-to-date determinations of the normalization of the leading renormalons of the pole mass, the singlet static potential, the octet static potential, and the gluelump energy. They read ZMSₘ=-ZMSVₛ/2=\0.604(17),0.551(20)\, ZMSVₒ=\0.136(8),0.121(13)\, and ZMSA=\-1.343(36),-1.224(43)\, for nf=0 and nf=3 respectively. 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: ΛBPV=2.47(9)r₀⁻¹ and ΛBPV=2.38(11)r₀⁻¹. They combine in ΛBPV=2.44(7)r₀⁻¹.
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Ayala et al. (2025) studied this question.
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