Strange and charm quark contributions to the muon anomalous magnetic moment in lattice QCD with twisted-mass fermions

• Main Authors: Alexandrou, C, Bacchio, S, De Santis, A, Evangelista, A, Finkenrath, J, Frezzotti, R, Gagliardi, G, Garofalo, M, Kalntis, N, Kostrzewa, B, Lubicz, V, Pittler, F, Romiti, S, Sanfilippo, F, Simula, S, Tantalo, N, Urbach, C, Wenger, U
• Format: Journal Article
• Language: English
• Published: 13-11-2024
• Subjects: Physics - High Energy Physics - Lattice; Physics - High Energy Physics - Phenomenology
• DOI: 10.48550/arxiv.2411.08852

We present a lattice calculation of the Hadronic Vacuum Polarization (HVP)
contribution of the strange and charm quarks to the anomalous magnetic moment
of the muon in isospin symmetric QCD. We employ the gauge configurations
generated by the Extended Twisted Mass Collaboration (ETMC) with $N_f = 2 + 1 +
1$ flavors of Wilson-clover twisted-mass quarks at five lattice spacings and at
values of the quark mass parameters that are close and/or include the isospin
symmetric QCD point of interest. After computing the small corrections
necessary to precisely match this point, and carrying out an extrapolation to
the continuum limit based on the data at lattice spacings $a \simeq 0.049,
0.057, 0.068, 0.080$~fm and spatial lattice sizes up to $L \simeq 7.6$~fm, we
obtain $a_\mu^{\rm HVP}(s) = (53.57 \pm 0.63) \times 10^{-10}$ and $a_\mu^{\rm
HVP}(c) = (14.56 \pm 0.13) \times 10^{-10}$, for the quark-connected strange
and charm contributions, respectively. Our findings agree well with the
corresponding results by other lattice groups.