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We present a lattice-QCD calculation of the long-distance two-photon contribution to the decay amplitude of a long-lived kaon to a pair of muons on a $24^3\times 64$ physical-pion-mass ensemble. In these proceedings, the theoretical…

High Energy Physics - Lattice · Physics 2024-11-04 En-Hung Chao , Ceran Hu

We present results for the interaction of two kaons at maximal isospin. The calculation is based on 2+1+1 flavour gauge configurations generated by the ETM Collaboration (ETMC) featuring pion masses ranging from about 230 MeV to 450 MeV at…

High Energy Physics - Lattice · Physics 2016-11-30 Christopher Helmes , Christian Jost , Bastian Knippschild , Bartosz Kostrzewa , Liuming Liu , Carsten Urbach , Markus Werner

The restoration of dynamical chiral symmetry for a higher number of light-quark flavors $N_f$ implies suppression of the dynamically generated quark mass. The study of various larger values of $N_f$ may have a greater impact on the internal…

High Energy Physics - Phenomenology · Physics 2025-11-04 Aftab Ahmad

We present a method to evaluate on the lattice the leading isospin breaking effects due to both the small mass difference between the up and down quarks and the QED interaction. Our proposal is applicable in principle to any QCD+QED gauge…

High Energy Physics - Lattice · Physics 2013-06-12 G. M. de Divitiis , R. Frezzotti , V. Lubicz , G. Martinelli , R. Petronzio , G. C. Rossi , F. Sanfilippo , S. Simula , N. Tantalo

We present the first results for neutral kaon mixing using 2+1 flavors of domain wall fermions. A new approach is used to extrapolate to the physical up and down quark masses from our numerical studies with pion masses in the range 240 --…

We present new results for the amplitude $A_2$ for a kaon to decay into two pions with isospin $I=2$: Re$A_2 = 1.50(4)_\mathrm{stat}(14)_\mathrm{syst}\times 10^{-8}$ GeV; Im$A_2 = -6.99(20)_\mathrm{stat}(84)_\mathrm{syst}\times 10^{-13}$…

High Energy Physics - Lattice · Physics 2015-07-07 T. Blum , P. A. Boyle , N. H. Christ , J. Frison , N. Garron , T. Janowski , C. Jung , C. Kelly , C. Lehner , A. Lytle , R. D. Mawhinney , C. T. Sachrajda , A. Soni , H. Yin , D. Zhang

We present a calculation of the scalar, vector and tensor pion and kaon form factors using one ensemble of two degenerate light, a strange and a charm quark ($N_f=2+1+1$) of maximally twisted mass fermions with clover improvement. The quark…

We report on the progress of our ongoing project to quantify the role of the charm quark in the non-leptonic decay of a kaon into two pions. The effect of its associated mass scale in the dynamics underlying the \Delta I = 1/2 rule can be…

High Energy Physics - Lattice · Physics 2012-12-20 Eric Endress , Carlos Pena

We determine the strong-isospin violating component of the neutron-proton mass difference from fully-dynamical lattice QCD and partially-quenched QCD calculations of the nucleon mass, constrained by partially-quenched chiral perturbation…

High Energy Physics - Lattice · Physics 2008-11-26 Martin J. Savage

We explore the Gell-Mann--Okubo mass relation among the octet baryons using fully-dynamical, mixed-action (domain-wall on rooted-staggered) lattice QCD calculations at a lattice spacing of b ~ 0.125 fm and pion masses of m_pi ~ 290 MeV, 350…

High Energy Physics - Lattice · Physics 2008-11-26 Silas R. Beane , Kostas Orginos , Martin J. Savage

We calculate the strong isospin breaking and QED corrections to meson masses and the hadronic vacuum polarization in an exploratory study on a $64\times24^3$ lattice with an inverse lattice spacing of $a^{-1}=1.78$ GeV and an isospin…

High Energy Physics - Lattice · Physics 2017-10-25 P. Boyle , V. Gülpers , J. Harrison , A. Jüttner , C. Lehner , A. Portelli , C. T. Sachrajda

The CKM matrix element $|V_{us}|$ can be extracted from the experimental measurement of semileptonic $K\to\pi$ decays. The determination depends on theory input for the corresponding vector form factor in QCD. We present a preliminary…

High Energy Physics - Lattice · Physics 2012-12-14 Peter A. Boyle , Jonathan M. Flynn , Andreas Jüttner , Christopher Sachrajda , Karthee Sivalingam , James M. Zanotti

The rate of mixing between a neutral kaon and an anti-kaon ($K^0-\bar{K}^0$) is given, in part, by a long-range matrix element, defined with two insertions of the weak Hamiltonian separated by physical, Minkowski time evolution. For…

High Energy Physics - Lattice · Physics 2022-12-21 Andrew W. Jackura , Raúl A. Briceńo , Maxwell T. Hansen

We present an ongoing project aimed at determining the thermodynamic Equation of State (EoS) of quark--gluon matter from lattice QCD with two generations of dynamical quarks. We employ the Wilson twisted mass implementation for the…

High Energy Physics - Lattice · Physics 2016-02-17 F. Burger , E. -M. Ilgenfritz , M. P. Lombardo , M. Muller-Preussker , A. Trunin

We use one-loop chiral perturbation theory to compare potential lattice computations of the K+ --> pi+ pi0 decay amplitude at m_K=2m_pi with the experimental value. We find that the combined one-loop effect due to this unphysical pion to…

High Energy Physics - Lattice · Physics 2016-08-25 Maarten F. L. Golterman , Ka Chun Leung

A lattice QCD approach to the calculation of the long-distance contributions to $\epsilon_K$ is presented. This parameter describes indirect CP violation in $K\to\pi\pi$ decay. While the short-distance contribution to $\epsilon_K$ can be…

High Energy Physics - Lattice · Physics 2023-09-06 Ziyuan Bai , Norman H. Christ , Joseph M. Karpie , Christopher T. Sachrajda , Amarjit Soni , Bigeng Wang

We review the status of recent calculations by the RBC-UKQCD collaboration of the complex amplitude $A_2$, corresponding to the decay of a kaon to a two pion state with total isospin 2. In particular, we present preliminary results from two…

High Energy Physics - Lattice · Physics 2013-11-18 T. Janowski , C. T. Sachrajda , P. A. Boyle , N. H. Christ , R. D. Mawhinney , H. Yin , D. Zhang , N. Garron , A. T. Lytle

We calculate the electromagnetic contribution to the pion mass difference, $\Delta m^2_\pi=m^2_{\pi^+}-m^2_{\pi^0}$, in the chiral limit through the $VV-AA$ type vacuum polarization using Das-Guralnik-Mathur-Low-Young (DGMLY) sum rule. The…

High Energy Physics - Lattice · Physics 2008-11-26 JLQCD Collaboration , E. Shintani , H. Fukaya , S. Hashimoto , H. Matsufuru , J. Noaki , T. Onogi , N. Yamada

We study contributions to the Delta S=2 weak Chiral Lagrangian producing K0-K0bar mixing which are not enhanced by the charm mass. For the real part, these contributions turn out to be related to the box diagram with up quarks but, unlike…

High Energy Physics - Phenomenology · Physics 2009-11-10 O. Cata , S. Peris

The chiral Lagrangian describing the low-energy behavior of N_f=2+1+1 twisted mass lattice QCD is constructed through O(a^2). In contrast to existing results the effects of a heavy charm quark are consistently removed, leaving behind a…

High Energy Physics - Lattice · Physics 2014-09-05 Oliver Baer , Ben Horz