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Related papers: Chiral extrapolation of SU(3) amplitudes

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We propose analytic approximations of chiral SU(3) amplitudes for the extrapolation of lattice data to the physical meson masses. The method allows the determination of NNLO low-energy constants in a controllable fashion. We test the…

High Energy Physics - Phenomenology · Physics 2011-08-05 Gerhard Ecker , Pere Masjuan , Helmut Neufeld

We present analytic approximations of chiral SU(3) amplitudes for the extrapolation of lattice data to the physical masses and the determination of Next-to-Next-to-Leading-Order low-energy constants. Lattice data for the ratio F_K/F_pi is…

High Energy Physics - Phenomenology · Physics 2011-08-04 Pere Masjuan

We construct large-N_c motivated approximate chiral SU(3) amplitudes of next-to-next-to-leading order. The amplitudes are independent of the renormalization scale. Fitting lattice data with those amplitudes allows for the extraction of…

High Energy Physics - Phenomenology · Physics 2015-06-17 G. Ecker , P. Masjuan , H. Neufeld

We have performed global fits of $f_{\pi}$ and $m_{\pi}$, from a variety of RBC-UKQCD domain wall fermion ensembles, to $SU(2)$ partially quenched chiral perturbation theory at NNLO. We report values for 9 NLO and 8 linearly independent…

High Energy Physics - Lattice · Physics 2015-11-16 R. D. Mawhinney , D. J. Murphy

We have performed fits of the pseudoscalar masses and decay constants, from a variety of RBC-UKQCD domain wall fermion ensembles, to $SU(2)$ partially quenched chiral perturbation theory at next-to leading order (NLO) and next-to-next-to…

High Energy Physics - Lattice · Physics 2016-03-23 P. A. Boyle , N. H. Christ , N. Garron , C. Jung , A. Jüttner , C. Kelly , R. D. Mawhinney , G. McGlynn , D. J. Murphy , S. Ohta , A. Portelli , C. T. Sachrajda

We analyze lattice data for octet baryon masses from the QCDSF collaboration employing manifestly covariant Baryon Chiral Perturbation Theory. It is shown that certain combinations of low-energy constants can be fixed more accurately than…

High Energy Physics - Phenomenology · Physics 2013-03-27 P. C. Bruns , L. Greil , A. Schäfer

We perform a detailed, fully-correlated study of the chiral behavior of the pion mass and decay constant, based on 2+1 flavor lattice QCD simulations. These calculations are implemented using tree-level, O(a)-improved Wilson fermions, at…

We present the first direct evaluation of DI = 3/2 K -> pi pi matrix elements with the aim of determining all the low-energy constants at NLO in the chiral expansion. Our numerical investigation demonstrates that it is indeed possible to…

High Energy Physics - Lattice · Physics 2008-11-26 P. Boucaud , V. Gimenez , C-J. D. Lin , V. Lubicz , G. Martinelli , M. Papinutto , C. T. Sachrajda

In this review I discuss the role of chiral extrapolations for the determination of several phenomenologically relevant quantities, including light quark masses, meson decay constants and the axial charge of the nucleon. In particular, I…

High Energy Physics - Lattice · Physics 2012-01-24 Hartmut Wittig

We report on a recent chiral extrapolation, based on an SU(3) framework, of octet baryon masses calculated in 2+1-flavour lattice QCD. Here we further clarify the form of the extrapolation, the estimation of the infinite-volume limit, the…

High Energy Physics - Lattice · Physics 2010-01-15 R. D. Young

We calculate the light pseudoscalar decay constants, f_pi and f_K, and their ratio using domain wall valence quarks and 2+1 flavors of dynamical staggered quarks. Use of the MILC gauge configurations allows us to simulate at several sea…

High Energy Physics - Lattice · Physics 2010-01-21 Christopher Aubin , Jack Laiho , Ruth S. Van de Water

This paper summarizes the recent calculations of the masses and decay constants of the pseudoscalar mesons at the two-loop level, or NNLO, in Partially Quenched Chiral Perturbation Theory (PQxPT). Possible applications include chiral…

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

We present the status of the MILC collaboration's analysis of the light pseudoscalar meson sector with SU(3) chiral fits. The analysis includes data from new ensembles with smaller lattice spacing, smaller light quark masses and lighter…

We investigate the quark mass dependence of meson and baryon masses obtained from 2+1 flavor dynamical quark simulations performed by the PACS-CS Collaboration. With the use of SU(2) and SU(3) chiral perturbation theories up to NLO, we…

We use one-loop $\SU(2)_L\times \SU(2)_R$ chiral perturbation theory ($\SU(2)$ ChPT) to study the behaviour of the form-factors for semileptonic $K\to\pi$ decays with the pion mass at $q^2=0$ and at $q^2_{\textrm{max}}=(m_K-m_\pi)^2$, where…

High Energy Physics - Phenomenology · Physics 2009-02-12 J. M. Flynn , C. T. Sachrajda

By fitting pion masses and decay constants from 2+1 flavor staggered lattice simulations to the predictions of NLO and NNLO SU(2) chiral perturbation theory we determine the low-energy constants l_3 and l_4. The lattice ensembles were…

High Energy Physics - Lattice · Physics 2013-02-01 Enno E. Scholz , Szabolcs Borsanyi , Stephan Durr , Zoltan Fodor , Stefan Krieg , Andreas Schafer , Kalman K. Szabo

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.

In the framework of the instanton vacuum model we make expansion over the current mass $m$ and number of colors $N_c$ and evaluate ${\cal O}(1/N_c, m, m/N_c, m \ln m/N_c)$-corrections to the dynamical quark mass $M$, the quark condensate…

High Energy Physics - Phenomenology · Physics 2008-12-01 M. Musakhanov

Simulations with 2+1 flavors of domain wall fermions provide us with the opportunity to compare the lattice data directly to the predictions of continuum chiral perturbation theory, up to corrections from the residual chiral symmetry…

High Energy Physics - Lattice · Physics 2009-11-13 Meifeng Lin

We present the results of fits to recent asqtad data in the light pseudoscalar sector using SU(2) partially-quenched staggered chiral perturbation theory. Superfine (a~0.06 fm) and ultrafine (a~0.045 fm) ensembles are used, where light sea…

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