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

Alexandrou, C.; Pittler, F.; Bacchio, S.; Garofalo, M.; Kostrzewa, B.; Finkenrath, J.; Tantalo, N.; Lubicz, V.; Frezzotti, R.; Gagliardi, G.; De Santis, A.; Romiti, S.; Kalntis, N.; Wenger, U.; Simula, S.; Evangelista, A.; Sanfilippo, F.; Urbach, C.

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Preprint
Report number	CERN-TH-2024-197 ; arXiv:2411.08852
Title	Strange and charm quark contributions to the muon anomalous magnetic moment in lattice QCD with twisted-mass fermions
Author(s)	Alexandrou, C. (Cyprus U. ; Cyprus Inst.) ; Bacchio, S. (Cyprus Inst.) ; De Santis, A. (Rome U., Tor Vergata ; INFN, Rome) ; Evangelista, A. (Rome U., Tor Vergata ; INFN, Rome) ; Finkenrath, J. (CERN) ; Frezzotti, R. (Rome U., Tor Vergata ; INFN, Rome) ; Gagliardi, G. (INFN, Rome3 ; Rome III U.) ; Garofalo, M. (Bonn U., HISKP) ; Kalntis, N. (U. Bern, AEC) ; Kostrzewa, B. (U. Bonn (main)) ; Lubicz, V. (INFN, Rome3 ; Rome III U.) ; Pittler, F. (Cyprus Inst.) ; Romiti, S. (U. Bern, AEC) ; Sanfilippo, F. (INFN, Rome3) ; Simula, S. (INFN, Rome3) ; Tantalo, N. (U. Rome 2, Tor Vergata (main) ; INFN, Rome) ; Urbach, C. (Bonn U., HISKP) ; Wenger, U. (U. Bern, AEC)
Document contact	Contact: arXiv
Imprint	2024-11-13
Number of pages	33
Note	33 pages, 18 figures, 3 tables
Subject category	hep-ph ; Particle Physics - Phenomenology ; hep-lat ; Particle Physics - Lattice
Abstract	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.
Other source	Inspire
Copyright/License	preprint: (License: arXiv nonexclusive-distrib 1.0)

$\small \it The left-panel shows $a_\mu^\mathrm{HVP}(s)$ while the right-panel shows $a_\mu^\mathrm{HVP}(c)$ as functions of $t_\mathrm{cut}$. The data correspond to the ensemble D96, to the TM regularization and to the smallest simulated values of the valence strange and charm masses. A detailed study of the dependence upon the valence and see quark masses is presented in the Appendices~\ref{sec:mass_interpolation_amu} and~\ref{sec:mistunings}. We observe that the results are independent of $t_\mathrm{cut}/a$ within the statistical errors for large enough $t_\mathrm{cut}/a$. Similar plots can be shown for the other simulated values of the lattice spacing, of the valence masses and for the OS regularization.$ $\small \it The left-panel shows $a_\mu^\mathrm{HVP}(s)$ while the right-panel shows $a_\mu^\mathrm{HVP}(c)$ as functions of $t_\mathrm{cut}$. The data correspond to the ensemble D96, to the TM regularization and to the smallest simulated values of the valence strange and charm masses. A detailed study of the dependence upon the valence and see quark masses is presented in the Appendices~\ref{sec:mass_interpolation_amu} and~\ref{sec:mistunings}. We observe that the results are independent of $t_\mathrm{cut}/a$ within the statistical errors for large enough $t_\mathrm{cut}/a$. Similar plots can be shown for the other simulated values of the lattice spacing, of the valence masses and for the OS regularization.$ $\small \it Ratio of $a_\mu^{\rm HVP}(s)$ left and $a_\mu^{\rm HVP}(c)$ for the two regularizations OS and TM, computed at the lattice spacing $a\simeq 0.07$~fm with two linear sizes $L\sim5.4~$fm and $L'\sim7.6~$fm using the ensembles C80 and C112. For the strange contribution we plot also the same ratio at $a=0.08$~fm with two linear sizes $L\sim5.1$~fm and $L'\sim7.6$~fm using the ensembles B64 and B96.$ Show more plots

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