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We update our determinations of $f_{D^+}$, $f_{D_s}$, $f_K$, and quark mass ratios from simulations with four flavors of HISQ dynamical quarks. The availability of ensembles with light quarks near their physical mass means that we can…

Quark mass ratios are expressed within the linear meson model by universal relations involving only the masses and decay constants of the flavored pseudoscalars as well as their wave function renormalization. Quantitative results are in…

High Energy Physics - Phenomenology · Physics 2009-10-28 D. -U. Jungnickel , C. Wetterich

In a continuation of an ongoing program, we use staggered chiral perturbation theory to calculate the one-loop chiral logarithms and analytic terms in the pseudoscalar meson leptonic decay constants, $f_{\pi^+_5}$ and $f_{K^+_5}$. We…

High Energy Physics - Lattice · Physics 2010-04-06 C. Aubin , C. Bernard

We calculate the partition function of partially quenched chiral perturbation theory in the epsilon regime at next-to-leading order using the supersymmetry method in the formulation without a singlet particle. We include a nonzero imaginary…

High Energy Physics - Lattice · Physics 2009-11-30 Christoph Lehner , Tilo Wettig

We use chiral perturbation theory to study the extrapolations necessary to make physical predictions from lattice QCD data for the electromagnetic form factors of pseudoscalar mesons. We focus on the quark mass, momentum, lattice spacing,…

High Energy Physics - Lattice · Physics 2014-11-17 T. B. Bunton , F. -J. Jiang , B. C. Tiburzi

Quenched and partially quenched chiral perturbation theory for vector mesons is developed and is used to extract chiral loop correction to the $\rho$ meson mass. Connections to fully quenched and totally unquenched chiral perturbation…

High Energy Physics - Phenomenology · Physics 2009-10-30 Chi-Keung Chow , Soo-Jong Rey

In this talk, I first motivate the use of Chiral Perturbation Theory in the context of Lattice QCD. In particular, I explain how partially quenched QCD, which has, in general, unequal valence- and sea-quark masses, can be used to obtain…

High Energy Physics - Phenomenology · Physics 2017-08-23 Maarten Golterman

We propose a general method to obtain accurate estimates for some of the "low-energy constants" in the one-loop effective chiral Lagrangian by means of simulating lattice QCD. In particular, the method is sensitive to those constants whose…

High Energy Physics - Lattice · Physics 2011-02-01 Jochen Heitger , Rainer Sommer , Hartmut Wittig

We compute pseudoscalar meson masses and decay constants in partially quenched QCD with three dynamical flavors of improved staggered quarks. Fitting the lattice data to staggered chiral perturbation theory forms and extrapolating in quark…

We test the one-loop chiral perturbation theory formula on unquenched lattice data of pseudoscalar meson decay constants. The chiral extrapolation including the effect of the chiral logarithm is attempted and its uncertainty is discussed.

This paper presents a first study of the pseudoscalar meson masses to two loops, or NNLO, within the supersymmetric formulation of partially quenched chiral perturbation theory (PQ$\chi$PT). The expression for the pseudoscalar meson mass in…

High Energy Physics - Lattice · Physics 2009-11-10 Johan Bijnens , Niclas Danielsson , Timo A. Lahde

The results of a high-statistics study of scalar and pseudoscalar meson propagators in quenched lattice QCD are presented. For two values of lattice spacing, $\beta=5.7$ ($a \approx .18$ fm) and 5.9 ($a \approx .12$ fm), we probe the light…

High Energy Physics - Lattice · Physics 2009-11-10 W. Bardeen , E. Eichten , H. Thacker

We extend a technique for the chiral extrapolation of hadron masses calculated with dynamical fermions to those generated by quenched simulations. The method ensures the correct leading and next-to-leading non-analytic behaviour for either…

High Energy Physics - Lattice · Physics 2007-05-23 R. D. Young , D. B. Leinweber , A. W. Thomas , S. V. Wright

This talk presents some results relevant for lattice QCD at higher order in ChPT. First we discuss the finite volume corrections at two loops for the quark condensate as well as a L\"uscherlike finite volume formula for it. The latter…

High Energy Physics - Lattice · Physics 2007-05-23 Johan Bijnens , Niclas Danielsson , Karim Ghorbani , Timo Lähde

Two twisted doublets, one containing the up and down quarks and the other containing the strange quark with an SU(2)-flavor partner, are used for studies in the meson sector. The relevant chiral perturbation theory is presented, and…

High Energy Physics - Lattice · Physics 2011-02-01 Abdou M. Abdel-Rehim , Randy Lewis , R. M. Woloshyn , Jackson M. S. Wu

We present results for the spectrum of light and strange mesons on configurations with two flavors of mass-degenerate Chirally Improved sea quarks. The calculations are performed on seven ensembles of lattice size 16^3x32 at three different…

High Energy Physics - Lattice · Physics 2015-06-03 Georg P. Engel , C. B. Lang , Markus Limmer , Daniel Mohler , Andreas Schaefer

The dependence of pseudo-scalar masses and decay constants on the sea and valence quark masses is investigated in the pseudo-Goldstone boson sector of QCD with two light quark flavours. The sea quark masses are at present in the range…

High Energy Physics - Lattice · Physics 2015-06-25 q Collaboration , F. Farchioni , C. Gebert , I. Montvay , E. Scholz , L. Scorzato

We study the effects of failure to equilibrate the squared topological charge $Q^2$ on lattice calculations of pseudoscalar masses and decay constants. The analysis is based on chiral perturbation theory calculations of the dependence of…

High Energy Physics - Lattice · Physics 2018-04-11 C. Bernard , D. Toussaint

We present first results for the pseudoscalar decay constants $f_K$, $f_D$ and $f_{D_s}$ from lattice QCD with N_f=2+1+1 flavours of dynamical quarks. The lattice simulations have been performed by the European Twisted Mass collaboration…

High Energy Physics - Lattice · Physics 2010-12-02 Federico Farchioni , Gregorio Herdoiza , Karl Jansen , Marcus Petschlies , Carsten Urbach , ETM collaboration

We discuss Partially Quenched Chiral Perturbation Theory (PQ$\chi$PT) and possible fitting strategies to Lattice QCD data at next-to-next-to-leading order (NNLO) in the mesonic sector. We also present a complete calculation of the masses of…

High Energy Physics - Lattice · Physics 2009-11-11 Johan Bijnens , Niclas Danielsson , Timo A. Lahde