The mass of the lightest gluelump

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 ZmMS¯ = −ZVsMS¯/2 = {0.604(17), 0.551(20)}, ZVoMS¯ = {0.136(8), 0.121(13)}, and ZAMS¯ = {–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: ΛBPV=2.479r0−1 and ΛBPV=2.3811r0−1 where r0−1 ≈ 400 MeV. Averaging these results, we obtain ΛBPV=2.447r0−1.