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The mass of the lightest gluelump

High Energy Physics - Phenomenology 2025-11-25 v2 High Energy Physics - Lattice High Energy Physics - Theory

Abstract

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 ZmMS=ZVsMS/2={0.604(17),0.551(20)}Z^{\rm MS}_m=-Z^{\rm MS}_{V_s}/2=\{0.604(17),0.551(20)\}, ZVoMS={0.136(8),0.121(13)}Z^{\rm MS}_{V_o}=\{0.136(8),0.121(13)\}, and ZAMS={1.343(36),1.224(43)}Z^{\rm MS}_A=\{-1.343(36),-1.224(43)\}, for nf=0n_f=0 and nf=3n_f=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)r01\Lambda_{B}^{\rm PV}=2.47(9)r_0^{-1} and ΛBPV=2.38(11)r01\Lambda_{B}^{\rm PV}=2.38(11)r_0^{-1}. They combine in ΛBPV=2.44(7)r01\Lambda_{B}^{\rm PV}=2.44(7)r_0^{-1}.

Keywords

Cite

@article{arxiv.2505.18827,
  title  = {The mass of the lightest gluelump},
  author = {Cesar Ayala and Antonio Pineda},
  journal= {arXiv preprint arXiv:2505.18827},
  year   = {2025}
}

Comments

33 pages, 13 figures; 2nd version: 35 pages, three extra references. Minor changes to meet journal version