The mass of the lightest gluelump

Abstract: We consider QCD with nf = 0 and nf = 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 MS m = −Z MS Vs /2 = {0.604(17), 0.551(20)}, Z MS Vo = {0.136(8), 0.121(13)}, and Z MS A = {−1.343(36), −1.224(43)}, for nf = 0 and nf = 3, respectively. For nf = 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 PV B = 2.47(9)r −1 0 and Λ PV B = 2.38(11)r −1 0 where r −1 0 ≈ 400 MeV. Averaging these results, we obtain Λ PV B = 2.44(7)r −1 0