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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 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; - [Show abstract] [Hide abstract]

**ABSTRACT:**We determine $ {\Lambda_{{\overline {\text{MS}} }}} $ for QCD with n f = 2 dynamical quark flavors by fitting the $ Q\overline Q $ static potential known analytically in the perturbative regime up to terms of $ \mathcal{O}\left( {\alpha_s^4} \right) $ and $ \sim \alpha_s^4\ln \,{\alpha_s} $ to corresponding results obtained from lattice simulations. This has become possible, due to recent advances in both perturbative calculations, namely the determination and publication of the last missing contribution to the $ Q\overline Q $ static potential at $ \mathcal{O}\left( {\alpha_s^4} \right) $ , and lattice simulations with n f = 2 dynamical quark flavors performed at the rather fine lattice spacing of a ≈ 0.042 fm. Imposing conservative error estimates we obtain $ {\Lambda_{{\overline {\text{MS}} }}} = 315\left( {30} \right){\text{MEV}} $ .Journal of High Energy Physics 2012(1). · 5.62 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**We determine mass and mixing angles of η and η′ states using N f = 2 + 1 + 1 Wilson twisted mass lattice QCD. We describe how those flavour singlet states need to be treated in this lattice formulation. Results are presented for three values of the lattice spacing, a = 0.061 fm, a = 0.078 fm and a = 0.086 fm, with light quark masses corresponding to values of the charged pion mass in a range of 230 to 500 MeV and fixed bare strange and charm quark mass values. We obtain M η = 557(15)(45) MeV (first error statistical, second systematic) and ϕ = 44(5)° for a single mixing angle in the quark flavour basis, θ = −10(5)° in the octet-singlet basis.Journal of High Energy Physics 11/2012; 2012(11). · 5.62 Impact Factor

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