The mass of the lightest gluelump
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866918215557316608 |
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| author | Ayala, Cesar Pineda, Antonio |
| author_facet | Ayala, Cesar Pineda, Antonio |
| contents | 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 $Z^{\rm MS}_m=-Z^{\rm MS}_{V_s}/2=\{0.604(17),0.551(20)\}$, $Z^{\rm MS}_{V_o}=\{0.136(8),0.121(13)\}$, and $Z^{\rm MS}_A=\{-1.343(36),-1.224(43)\}$, for $n_f=0$ and $n_f=3$ 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: $Λ_{B}^{\rm PV}=2.47(9)r_0^{-1}$ and $Λ_{B}^{\rm PV}=2.38(11)r_0^{-1}$. They combine in $Λ_{B}^{\rm PV}=2.44(7)r_0^{-1}$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_18827 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The mass of the lightest gluelump Ayala, Cesar Pineda, Antonio High Energy Physics - Phenomenology High Energy Physics - Lattice High Energy Physics - Theory 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 $Z^{\rm MS}_m=-Z^{\rm MS}_{V_s}/2=\{0.604(17),0.551(20)\}$, $Z^{\rm MS}_{V_o}=\{0.136(8),0.121(13)\}$, and $Z^{\rm MS}_A=\{-1.343(36),-1.224(43)\}$, for $n_f=0$ and $n_f=3$ 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: $Λ_{B}^{\rm PV}=2.47(9)r_0^{-1}$ and $Λ_{B}^{\rm PV}=2.38(11)r_0^{-1}$. They combine in $Λ_{B}^{\rm PV}=2.44(7)r_0^{-1}$. |
| title | The mass of the lightest gluelump |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice High Energy Physics - Theory |
| url | https://arxiv.org/abs/2505.18827 |