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Non-leptonic kaon decays are often described through an effective chiral weak Hamiltonian, whose couplings ("low-energy constants") encode all non-perturbative QCD physics. It has recently been suggested that these low-energy constants…

High Energy Physics - Lattice · Physics 2010-02-03 P. Hernandez , M. Laine

We propose a lattice-QCD-suitable framework for computing the two-photon long-distance contribution to the complex $K_{\rm L}\rightarrow\mu^+\mu^-$ decay amplitude, where QED is treated perturbatively in the continuum and infinite-volume.…

High Energy Physics - Lattice · Physics 2023-12-22 En-Hung Chao , Norman H. Christ , Xu Feng , Luchang Jin

Lattice QCD studies of hadron-hadron interactions are performed by computing the energy levels of the system in a finite box. The shifts in energy levels proportional to inverse powers of the volume are related to scattering parameters in a…

High Energy Physics - Lattice · Physics 2014-11-17 Paulo F. Bedaque , Ikuro Sato , Andre Walker-Loud

I review lattice calculations of quantities that involve light quarks, including light quark masses, the vector form factor f_+(0) needed for semileptonic kaon decays, and kaon mixing. Results for most of these quantities are now available…

High Energy Physics - Lattice · Physics 2011-06-03 Jack Laiho

The precision of lattice QCD computations of many quantities has reached such a precision that isospin-breaking corrections, including electromagnetism, must be included if further progress is to be made in extracting fundamental…

We present the first ab initio calculation at physical quark masses of scattering amplitudes describing the lightest pseudoscalar mesons interacting via the strong force in the vector channel. Using lattice quantum chromodynamics, we…

When aiming at the percent precision in hadronic quantities calculated by means of lattice simulations, isospin breaking effects become relevant. These are of two kinds: up/down mass splitting and electromagnetic corrections. In order to…

High Energy Physics - Lattice · Physics 2017-02-20 Agostino Patella

We review recent advances in the theory of strong-interaction effects and final-state interactions in hadronic weak decays of heavy mesons. In the heavy-quark limit, the amplitudes for most nonleptonic, two-body B decays can be calculated…

High Energy Physics - Phenomenology · Physics 2009-10-31 Matthias Neubert

We discuss all-to-all quark propagator techniques in two (related) contexts within Lattice QCD: the computation of closed quark propagators, and applications to the so-called "eye diagrams" appearing in the computation of non-leptonic kaon…

High Energy Physics - Lattice · Physics 2016-07-08 Eric Endress , Carlos Pena , Karthee Sivalingam

We present a theoretical framework within which both the real and imaginary parts of the complex, two-photon exchange amplitude contributing to $K_L\rightarrow\mu^+\mu^-$ decay can be calculated using lattice QCD. The real part of this…

High Energy Physics - Phenomenology · Physics 2024-06-12 En-Hung Chao , Norman Christ

Chiral perturbation theory (CPT), the low-energy effective theory of QCD, can be used to describe QCD observables in the low-energy region in a model-independent way. At any given order in the chiral expansion, CPT introduces a finite…

High Energy Physics - Lattice · Physics 2007-05-23 Daniel Arndt

We present a lattice QCD calculation of the axial $\gamma W$-box diagrams relevant for the kaon semileptonic decays. We utilize a recently proposed method, which connects the electroweak radiative corrections in Sirlin's representation to…

High Energy Physics - Lattice · Physics 2021-06-16 Peng-Xiang Ma , Xu Feng , Mikhail Gorchtein , Lu-Chang Jin , Chien-Yeah Seng

Most strong-interaction resonances have decay channels involving three or more particles, including many of the recently discovered $X$, $Y$ and $Z$ resonances. In order to study such resonances from first principles using lattice QCD, one…

High Energy Physics - Lattice · Physics 2019-09-04 Maxwell T. Hansen , Stephen R. Sharpe

The increasing importance of hadronic resonances in our understanding of the Standard Model is underscored by recent advancements in lattice Quantum Chromodynamics (QCD) calculations. We review recent developments, with a particular…

High Energy Physics - Lattice · Physics 2024-01-19 Luka Leskovec

Lattice simulations are the only viable way to obtain ab-initio Quantum Chromodynamics (QCD) predictions for low energy nuclear physics. These calculations are done, however, in a finite box and therefore extrapolation is needed to get the…

Nuclear Theory · Physics 2020-11-04 Moti Eliyahu , Betzalel Bazak , Nir Barnea

Using two-color lattice QCD with Wilson fermions, we report a study of the finite baryon number density system with two-flavors. First we investigate the Polyakov line and thermodynamical uantities in the $(\kappa,\mu)$ plane, where…

High Energy Physics - Lattice · Physics 2016-09-01 Shin Muroya , Atsushi Nakamura , Chiho Nonaka

Simulating the kappa(800) on the lattice is a challenging task that starts to become feasible due to the rapid progress in recent-years lattice QCD calculations. As the resonance is broad, special attention to finite-volume effects has to…

High Energy Physics - Lattice · Physics 2015-06-03 M. Döring , U. -G. Meißner

We study the gauge-covariance of the massless fermion propagator in reduced Quantum Electrodynamics (QED). Starting from its value in some gauge, we evaluate an all order expression for it in another gauge by means of the…

High Energy Physics - Theory · Physics 2020-02-20 A. James , A. V. Kotikov , S. Teber

This note presents a method to reduce the discretization errors appearing when solving a Quantum Field Theory in a hypercubic lattice in both position and momentum-space. The method exploits the artifacts that break rotational symmetry to…

High Energy Physics - Lattice · Physics 2022-10-26 F. de Soto

We present the results of studies [1,2] of the gauge covariance of the massless fermion propagator in three-dimensional quenched quantum electrodynamics in the framework of dimensional regularization in d=3-2\ep. Assuming the finiteness of…

High Energy Physics - Theory · Physics 2023-05-30 A. V. Kotikov
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