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Quantum Chromodynamics on a lattice with Wilson fermions and a chirally twisted mass term is considered in the framework of chiral perturbation theory. For two and three numbers of quark flavours, respectively, with non-degenerate quark…

High Energy Physics - Lattice · Physics 2010-12-23 Gernot Münster , Tobias Sudmann

Various suggestions exist for incorporating the strange quark into twisted mass QCD. One option for quenched simulations is to employ two twisted doublets, (u,d) and (c,s), with separate twist angles. Working in the isospin limit,…

High Energy Physics - Lattice · Physics 2007-05-23 Abdou M. Abdel-Rehim , Randy Lewis , R. M. Woloshyn

It has been shown that in the twisted mass formulation of Lattice QCD at maximal twist large cutoff effects are generated when the quark mass becomes of O(a Lambda_QCD^2). In general, these effects can be suppressed in two ways: either by…

High Energy Physics - Lattice · Physics 2010-03-19 D. Becirevic , Ph. Boucaud , V. Lubicz , G. Martinelli , F. Mescia , S. Simula , C. Tarantino

I review recent theoretical developments and numerical results of twisted mass QCD. I argue that, combined with an efficient algorithm, twisted mass QCD can be an attractive QCD lattice action, to perform large scale simulations at small…

High Energy Physics - Lattice · Physics 2007-05-23 Andrea Shindler

The masses of the low lying baryons are evaluated using a total of ten ensembles of dynamical twisted mass fermion gauge configurations. The simulations are performed using two degenerate flavors of light quarks, and a strange and a charm…

High Energy Physics - Lattice · Physics 2015-06-22 C. Alexandrou , V. Drach , K. Jansen , C. Kallidonis , G. Koutsou

The masses of baryons containing a heavy quark are calculated to next-to-leading order in partially quenched heavy hadron chiral perturbation theory. Calculations are performed for three light flavors in the isospin limit and additionally…

High Energy Physics - Lattice · Physics 2009-11-10 Brian C. Tiburzi

We investigate the mass differences of charm and bottom heavy baryons, using MILC lattice gauge configurations with 2+1 dynamical sea quark flavors. We extend our previous work to three lattice spacings: fine (a~0.09), coarse (a~0.12), and…

High Energy Physics - Lattice · Physics 2010-01-21 Heechang Na , Steven Gottlieb

We calculate the masses of the nucleons and deltas in twisted mass heavy baryon chiral perturbation theory. We work to quadratic order in a power counting scheme in which we treat the lattice spacing and the quark masses to be of the same…

High Energy Physics - Lattice · Physics 2009-11-11 Andre Walker-Loud , Jackson M. S. Wu

Quantum Chromodynamics on a lattice with Wilson fermions and a chirally twisted mass term for two degenerate quark flavours is considered in the framework of chiral perturbation theory. The pion masses and decay constants are calculated in…

High Energy Physics - Lattice · Physics 2010-12-23 Gernot Münster , Christian Schmidt , Enno E. Scholz

The remarkable recent progress in the precision of Lattice QCD computations for a number of physical quantities relevant for flavour physics has motivated the introduction of isospin-breaking effects, including in particular electromagnetic…

High Energy Physics - Lattice · Physics 2021-04-21 C. T. Sachrajda

Isospin splittings in baryons with two heavy quarks and a $u$ or $d$ quark are calculated using simple methods proposed previously by the authors. The results are $M(\Xi_{cc}^{++})-M(\Xi_{cc}^+) = 1.41 \pm 0.12^{+0.76}$ MeV, $M(\Xi_{bb}^0)…

High Energy Physics - Phenomenology · Physics 2017-08-30 Marek Karliner , Jonathan L. Rosner

We study the flavour breaking effects appearing in the Wilson twisted mass formulation of lattice QCD. In this quenched study, we focus on the mass splitting between the neutral and the charged pion, determining the neutral pion mass with a…

High Energy Physics - Lattice · Physics 2008-11-26 K. Jansen , C. McNeile , C. Michael , K. Nagai , M. Papinutto , J. Pickavance , A. Shindler , C. Urbach , I. Wetzorke

In recent years, lattice determinations of non-perturbative quantities such as $f_K$ and $f_\pi$, which are relevant for $V_{us}$ and $V_{ud}$, have reached an impressive precision of $\mathcal{O}(1\%)$ or better. To make further progress,…

While electromagnetic and up-down quark mass difference effects on octet baryon masses are very small, they have important consequences. The stability of the hydrogen atom against beta decay is a prominent example. Here we include these…

High Energy Physics - Lattice · Physics 2014-01-07 Sz. Borsanyi , S. Dürr , Z. Fodor , J. Frison , C. Hoelbling , S. D. Katz , S. Krieg , Th. Kurth , L. Lellouch , Th. Lippert , A. Portelli , A. Ramos , A. Sastre , K. Szabo

We calculate the $m_d-m_u$ contribution to the mass splittings in baryonic isospin multiplets using SU(3) chiral perturbation theory and lattice QCD. Fitting isospin-averaged perturbation theory functions to PACS-CS and QCDSF-UKQCD…

Nuclear Theory · Physics 2015-06-11 P. E. Shanahan , A. W. Thomas , R. D. Young

The pion masses and the pion decay constant are calculated to 1-loop order in twisted mass Wilson chiral perturbation theory, assuming a large pion mass splitting and tuning to maximal twist. Taking the large mass splitting at leading order…

High Energy Physics - Lattice · Physics 2010-12-13 Oliver Bar

As a test of quenched lattice twisted mass QCD, we compute the non-perturbatively O($a$) improved pseudoscalar and vector meson masses and the pseudoscalar decay constant down to $M_{\rm PS}/M_{\rm V} = 0.467(13)$ at $\beta=6$ in large…

High Energy Physics - Lattice · Physics 2015-06-25 M. Della Morte , R. Frezzotti , J. Heitger

We present an exploratory study of leading isospin breaking effects in mesonic masses using $O(a)$ improved Wilson fermions. Isospin symmetry is explicitly broken by distinct masses and electric charges of the up and down quarks. In order…

High Energy Physics - Lattice · Physics 2018-04-18 Andreas Risch , Hartmut Wittig

We estimate the isospin breaking contributions to the baryon masses which we analyzed recently using a loop expansion in the heavy baryon approximation to chiral effective field theory. To one loop, the isospin breaking corrections come…

High Energy Physics - Phenomenology · Physics 2009-11-11 Phuoc Ha

A determination of the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon from lattice QCD aiming at a precision of $1\%$ requires to include isospin breaking corrections in the computation. We present a…

High Energy Physics - Lattice · Physics 2018-12-27 Vera Gülpers , Andreas Jüttner , Christoph Lehner , Antonin Portelli