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Approximations of chiral SU(3) amplitudes at NNLO are proposed to facilitate the extrapolation of lattice data to the physical meson masses. Inclusion of NNLO terms is essential for investigating convergence properties of chiral SU(3) and…

High Energy Physics - Phenomenology · Physics 2011-08-05 Gerhard Ecker

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

The B-meson decay constant fB has been calculated from unquenched lattice QCD in the unphysical region. For extrapolating the lattice data to the physical region, we propose a phenomenological functional form based on the effective chiral…

High Energy Physics - Phenomenology · Physics 2008-11-26 X. -H. Guo , M. -H. Weng

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 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 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

A chiral extrapolation of the light vector meson masses in the up, down and strange quark masses of QCD is presented. We apply an effective chiral Lagrangian based on the hadrogenesis conjecture to QCD lattice ensembles of PACS-CS,…

High Energy Physics - Lattice · Physics 2019-06-26 Xiao-Yu Guo , Matthias F. M. Lutz

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 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

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

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

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.

The sum rule determinations of m_s and the chiral perturbation theory results for the ratios m_u/m_d and m_s/m_d are reviewed and a method for the extrapolation of lattice data to the physical values of m_u and m_d is outlined.

High Energy Physics - Phenomenology · Physics 2011-02-01 H. Leutwyler

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 determine the low-energy constants (LECs) $f_0$, $L_4^r$ and $L_5^r$ of SU(3) Chiral Perturbation Theory ($\chi$PT) from a lattice QCD calculation of the scalar form factors of the pion with fully controlled systematics. Lattice results…

High Energy Physics - Lattice · Physics 2025-03-27 Georg von Hippel , Konstantin Ottnad

We investigate the chiral extrapolation of the lattice data for the light-heavy meson hyperfine splittings D^*-D and B^*-B to the physical region for the light quark mass. The chiral loop corrections providing non-analytic behavior in m_\pi…

High Energy Physics - Lattice · Physics 2010-02-17 X. -H. Guo , P. C. Tandy , A. W. Thomas

We determined the NLO chiral low-energy constant $L_{10}$, and various combinations of NNLO chiral low-energy constants employing recently revised ALEPH results for the non-strange vector (V) and axial-vector (A) hadronic tau decay…

High Energy Physics - Phenomenology · Physics 2015-10-01 Diogo Boito , Anthony Francis , Maarten Golterman , Renwick Hudspith , Randy Lewis , Kim Maltman , Santiago Peris

As part of our program of lattice simulations of three flavor QCD with improved staggered quarks, we have calculated pseudoscalar meson masses and decay constants for a range of valence quark masses and sea quark masses on lattices with…

High Energy Physics - Lattice · Physics 2009-09-29 MILC Collaboration , C. Aubin , C. Bernard , C. DeTar , Steven Gottlieb , E. B. Gregory , U. M. Heller , J. E. Hetrick , J. Osborn , R. Sugar , D. Toussaint
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