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# Computing K and D meson masses with Nf=2+1+1 twisted mass lattice QCD

CEA, Centre de Saclay, IRFU/Service de Physique Nucléaire, F-91191 Gif-sur-Yvette, France; Laboratoire de Physique Théorique (Bât. 210), CNRS et Université Paris-Sud XI, Centre d'Orsay, 91405 Orsay, Cedex, France; Laboratoire de Physique Subatomique et Cosmologie, 53 avenue des Martyrs, 38026 Grenoble, France; Universität Münster, Institut für Theoretische Physik, Wilhelm-Klemm-Straße 9, D-48149 Münster, Germany; NIC, DESY, Platanenallee 6, D-15738 Zeuthen, Germany; Division of Theoretical Physics, University of Liverpool, L69 3BX Liverpool, United Kingdom; Deutsches Elektronen-Synchrotron DESY, Notkestr. 85, D-22603 Hamburg, Germany; Centre for Theoretical Physics, University of Groningen, Nijenborgh 4, 9747 AG Groningen, the Netherlands; Helmholtz-Institut für Strahlen- und Kernphysik (Theorie), Germany; Bethe Center for Theoretical Physics, Universität Bonn, 53115 Bonn, Germany; Humboldt-Universität zu Berlin, Institut für Physik, Newtonstraße 15, D-12489 Berlin, Germany; Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, University of Bern, Sidlerstr. 5, CH-3012 Bern, Switzerland

Computer Physics Communications (Impact Factor: 2.41). 02/2011; DOI: 10.1016/j.cpc.2010.10.004 Source: arXiv

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**ABSTRACT:**We present preliminary results of an ongoing lattice QCD computation of the spectrum of $D$ mesons and $D_s$ mesons and of charmonium using 2+1+1 flavors of twisted mass sea and valence quarks.04/2013; - [Show abstract] [Hide abstract]

**ABSTRACT:**We present a four-flavour lattice calculation of the leading-order hadronic vacuum polarisation contribution to the anomalous magnetic moment of the muon, $a_{\mu}^{\rm hvp}$, arising from quark-connected Feynman graphs. It is based on ensembles featuring $N_f=2+1+1$ dynamical twisted mass fermions generated by the European Twisted Mass Collaboration (ETMC). Several light quark masses are used in order to yield a controlled extrapolation to the physical pion mass. We employ three lattice spacings to examine lattice artefacts and several different volumes to check for finite-size effects. Including the complete first two generations of quarks allows for a direct comparison with phenomenological determinations of $a_{\mu}^{\rm hvp}$. Our final result involving an estimate of the systematic uncertainty $$a_{\mathrm{\mu}}^{\rm hvp} = 6.74(21)(18) \cdot 10^{-8}$$ shows a good overall agreement with these computations.08/2013; - [Show abstract] [Hide abstract]

**ABSTRACT:**We apply the spectral projector method, recently introduced by Giusti and L\"uscher, to compute the chiral condensate using $N_f=2$ and $N_f=2+1+1$ dynamical flavors of maximally twisted mass fermions. We present our results for several quark masses at three different lattice spacings which allows us to perform the chiral and continuum extrapolations. In addition we report our analysis on the $O(a)$ improvement of the chiral condensate for twisted mass fermions. We also study the effect of the dynamical strange and charm quarks by comparing our results for $N_f=2$ and $N_f=2+1+1$ dynamical flavors.12/2013;

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