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We present estimates of the masses of light quarks using lattice data. Our main results are based on a global analysis of all the published data for Wilson, Sheikholeslami-Wohlert (clover), and staggered fermions, both in the quenched…

High Energy Physics - Lattice · Physics 2008-11-26 Rajan Gupta , Tanmoy Bhattacharya

An overview of lattice results for the strange quark mass, $B_K$, $B_6$, $B_7$, and $B_8$ is presented. I give my assessment of the reliability of various estimates and prospects for future improvements.

High Energy Physics - Phenomenology · Physics 2007-05-23 Rajan Gupta

We determine the light quark masses from lattice QCD simulations incorporating the electromagnetic interaction of valence quarks. The meson masses are calculated on lattice QCD configurations generated by the RBC Collaboration for two…

High Energy Physics - Lattice · Physics 2008-11-26 Thomas Blum , Takumi Doi , Masashi Hayakawa , Taku Izubuchi , Norikazu Yamada

Lattice QCD has generated a wealth of data in hadronic physics over the last two decades. Until relatively recently, most of this information has been within the "quenched approximation" where virtual quark--anti-quark pairs are neglected.…

High Energy Physics - Lattice · Physics 2009-11-10 C. R. Allton

Similarly to the interaction lagrangian, the possible boundary conditions in quantum field theories on space-time manifolds with boundaries are strongly constrained by the symmetry and scaling properties of the theory. Based on this general…

High Energy Physics - Lattice · Physics 2009-11-11 Martin Lüscher

We derive lower bounds for the combination of light quark masses m_s +m_u and m_d +m_u. The derivation is based on first principles: the analyticity properties of two-point functions of local current operators and the positivity of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 L. Lellouch , E. de Rafael , J. Taron

We review progress in lattice QCD, focusing on efforts to calculate weak matrix elements relevant for the determination of the Cabibbo-Kobayashi-Maskawa matrix. Topics we discuss include light hadron spectrum and quark masses, CP-violation…

High Energy Physics - Phenomenology · Physics 2011-04-15 Sinya Aoki

A summary of the extraction of light quark masses from both QCD sumrules and lattice QCD simulations is presented. The focus is on providing a careful statement of the potential weaknesses in each calculation, and on integrating the work of…

High Energy Physics - Phenomenology · Physics 2011-02-01 Rajan Gupta , Kim Maltman

We present a first numerical study of lattice QCD with O(a) improved Wilson quarks and a chirally twisted mass term. Renormalized correlation functions are derived from the Schroedinger functional and evaluated in an intermediate space-time…

High Energy Physics - Lattice · Physics 2010-02-03 M. Della Morte , R. Frezzotti , J. Heitger , S. Sint

Partially quenched Quantum Chromodynamics with Wilson fermions on a lattice is considered in the framework of chiral perturbation theory. Two degenerate quark flavours are associated with a chirally twisted mass term. The pion masses and…

High Energy Physics - Lattice · Physics 2010-12-17 Gernot Münster , Christian Schmidt , Enno E. Scholz

We calculate the light meson spectrum and the light quark masses by lattice QCD simulation, treating all light quarks dynamically and employing the Iwasaki gluon action and the nonperturbatively O(a)-improved Wilson quark action. The…

The renormalization factor relating the bare to the renormalization group invariant quark masses is accurately calculated in quenched lattice QCD using a recursive finite-size technique. The result is presented in the form of a product of a…

High Energy Physics - Lattice · Physics 2009-10-31 Stefano Capitani , Martin Lüscher , Rainer Sommer , Hartmut Wittig

In quenched lattice QCD with standard Wilson fermions the quark propagator is computed very close to the chiral limit in the zero-temperature case. Starting from our experience with lattice QED we employ a modified statistical method in…

High Energy Physics - Lattice · Physics 2009-10-30 A. Hoferichter , E. Laermann , V. K. Mitrjushkin , M. Müller-Preussker , P. Schmidt

I describe the recent success in performing accurate calculations of the effects of the strong force on particles containing bottom and charm quarks. Since quarks are never seen in isolation, and so cannot be studied directly, numerical…

High Energy Physics - Lattice · Physics 2009-11-11 Christine Davies

Starting from the meson-meson Green function in 3+1 dimensional quenched lattice QCD we calculate potentials between heavy-light mesons for various light-quark mass parameters. For the valence quarks we employ the staggered scheme. The…

High Energy Physics - Lattice · Physics 2009-10-28 H. R. Fiebig , A. Mihaly , H. Markum , K. Rabitsch

I report on the application of tmQCD techniques to the computation of hadronic matrix elements of four-fermion operators. Emphasis is put on the computation of $B_K$ in quenched QCD performed by the ALPHA Collaboration. The extension of…

High Energy Physics - Lattice · Physics 2009-09-29 Carlos Pena

This paper is a review of recent lattice determinations of the light quark masses. It describes the method employed to calculate quark masses in the lattice formulation, and the extrapolations required to reach the physical regime. This…

High Energy Physics - Phenomenology · Physics 2009-10-30 C. R. Allton

We discuss recent progress in studies of QCD thermodynamics with almost physical light quark masses and a physical value of the strange quark mass. We summarize results on the transition temperature in QCD and analyze the relation between…

High Energy Physics - Lattice · Physics 2008-11-26 Frithjof Karsch

Using a chiral random matrix theory we can now derive the low energy partition functions and Dirac eigenvalue correlations of QCD with different chemical potentials for the dynamical and valence quarks. The results can also be extended to…

High Energy Physics - Lattice · Physics 2008-11-26 James C. Osborn

We present a calculation of the up, down, strange and charm quark masses performed within the lattice QCD framework. We use the twisted mass fermion action and carry out simulations that include in the sea two light mass-degenerate quarks,…