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We propose a scheme of lattice twisted-mass fermion regularization which is particularly convenient for application to isospin breaking (IB) QCD and QED calculations, based in particular on the so called RM123 approach, in which the IB…

High Energy Physics - Lattice · Physics 2021-10-04 R. Frezzotti , G. Gagliardi , V. Lubicz , F. Sanfilippo , S. Simula

The isospin mass splittings of the pseudoscalar and vector D and B light-heavy quark system have been calculated using the method of QCD sum rules. Nonperturbative QCD effects are shown to be very small, so that mass splittings arise almost…

High Energy Physics - Phenomenology · Physics 2009-09-25 L. Kisslinger , Zhenping Li

Hadronic spectral functions of $\tau$ decays have been used in the past to provide an alternative determination of the LO Hadronic Vacuum Polarization relevant for the (g-2) of the muon. Following recent developments and results in Lattice…

High Energy Physics - Lattice · Physics 2018-11-02 Mattia Bruno , Taku Izubuchi , Christoph Lehner , Aaron Meyer

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

This chapter provides a pedagogical introduction to theoretical studies of hadrons based on the fundamental theory of strong interactions - Quantum ChromoDynamics. A perturbative expansion in the strong coupling is not applicable at…

High Energy Physics - Lattice · Physics 2025-05-16 Sasa Prelovsek

We present a study of the isospin-breaking (IB) corrections to pseudoscalar (PS) meson masses using the gauge configurations produced by the ETM Collaboration with $N_f=2+1+1$ dynamical quarks at three lattice spacings varying from 0.089 to…

High Energy Physics - Lattice · Physics 2018-04-18 D. Giusti , V. Lubicz , G. Martinelli , F. Sanfilippo , S. Simula , N. Tantalo , C. Tarantino

We present a study of the strong isospin-breaking (IB) effect, due in QCD to the difference between $u$- and $d$-quark masses, in the leptonic decay constants of charmed and beauty pseudoscalar and vector mesons using the method of QCD sum…

High Energy Physics - Phenomenology · Physics 2017-01-17 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

Matrix elements of six-quark operators are needed to extract new physics constraints from experimental searches for neutron-antineutron oscillations. This work presents in detail the first lattice quantum chromodynamics calculations of the…

High Energy Physics - Lattice · Physics 2019-05-20 Enrico Rinaldi , Sergey Syritsyn , Michael L. Wagman , Michael I. Buchoff , Chris Schroeder , Joseph Wasem

We present an exploratory study of leading isospin breaking effects in mesonic masses using $O(a)$ improved Wilson fermions with open boundaries. Isospin symmetry is explicitly broken by distinct masses and electric charges of the up and…

High Energy Physics - Lattice · Physics 2018-11-05 Andreas Risch , Hartmut Wittig

We provide an overview of the current state of lattice calculations concerning isospin-breaking corrections in weak decays, focusing in particular on leptonic decays of light pseudoscalar mesons. We examine the two currently existing…

High Energy Physics - Lattice · Physics 2024-01-17 Matteo Di Carlo

Precision computation of hadronic physics with lattice QCD is becoming feasible. The last decade has seen percent-level calculations of many simple properties of mesons, and the last few years have seen calculations of baryon masses,…

High Energy Physics - Lattice · Physics 2012-07-12 Dru B. Renner

We report progress on calculating the $K_L$-$K_S$ mass difference in lattice QCD. T he calculation is performed on a 2+1 flavor, domain wall fermion, $16^3\times 32$ en semble with a 421 MeV pion mass. We include only current-current…

High Energy Physics - Lattice · Physics 2012-12-04 Jianglei Yu

I present a review of the current status and the most recent achievements in lattice QCD calculations of hadron structure. First, I overview the status and systematic uncertainties of nucleon structure "benchmark" quantities that are well…

High Energy Physics - Lattice · Physics 2014-03-20 Sergey Syritsyn

As tests of QCD in the bottomonium system, we give the most accurate results to date for the ground-state hyperfine splitting and the $\Upsilon$ leptonic width from full lattice QCD. These quantities are both accurately known from…

High Energy Physics - Lattice · Physics 2021-11-12 C. T. H. Davies , D. Hatton , J. Koponen , G. P. Lepage , A. T. Lytle

Lattice QCD calculations of hadron structure are a valuable complement to many experimental programs as well as an indispensable tool to understand the dynamics of QCD. I present a focused review of a few representative topics chosen to…

High Energy Physics - Lattice · Physics 2010-02-05 Dru B. Renner

We use a four-dimensional lattice calculation of the full-QCD (quantum chromodynamics, the non-abliean gauge theory of the strong interactions of quarks and gluons) path integrals needed to determine the masses of the charmed and bottom…

High Energy Physics - Lattice · Physics 2011-01-28 Huey-Wen Lin , Saul D. Cohen , Liuming Liu , Nilmani Mathur , Kostas Orginos , Andre Walker-Loud

The subtraction function plays a pivotal role in calculations involving the forward Compton amplitude, which is crucial for predicting the Lamb shift in muonic atom, as well as the proton-neutron mass difference. In this work, we present a…

High Energy Physics - Lattice · Physics 2025-02-04 Yang Fu , Xu Feng , Lu-Chang Jin , Chuan Liu , Shi-Da Wen

We present results for the interaction of two kaons at maximal isospin. The calculation is based on $N_f=2+1+1$ flavour gauge configurations generated by the European Twisted Mass Collaboration with pion masses ranging from about $230$ to…

High Energy Physics - Lattice · Physics 2017-08-16 Christopher Helmes , Christian Jost , Bastian Knippschild , Bartosz Kostrzewa , Liuming Liu , Carsten Urbach , Markus Werner

Dynamical 2+1 flavour lattice QCD is used to calculate the splittings between the masses of mesons and baryons containing a single static heavy quark and domain-wall light and strange quarks. Our calculations are based on the dynamical…

High Energy Physics - Lattice · Physics 2010-04-15 William Detmold , C. -J. David Lin , Matthew Wingate

Accounting for isospin-breaking corrections is critical for achieving subpercent precision in lattice computations of hadronic observables. A way to include QED and strong-isospin-breaking corrections in lattice QCD calculations is to…

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