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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…

高能物理 - 格点 · 物理学 2023-09-06 Ziyuan Bai , Norman H. Christ , Joseph M. Karpie , Christopher T. Sachrajda , Amarjit Soni , Bigeng Wang

The charged and neutral pion mass difference can be attributed to both the QED and QCD contributions. The current quark mass difference ($\Delta m$) is the source of the QCD contribution. Here, in a two-flavour non-local NJL model, we try…

高能物理 - 唯象学 · 物理学 2023-10-16 Mahammad Sabir Ali , Chowdhury Aminul Islam , Rishi Sharma

We use the Cottingham method to calculate the pion and kaon electromagnetic mass differences with as few model dependent inputs as possible. The constraints of chiral symmetry at low energy, QCD at high energy and experimental data in…

高能物理 - 唯象学 · 物理学 2014-11-17 John F. Donoghue , Antonio F. Perez

We explore the chiral aspects of extrapolation of observables calculated within lattice QCD, using the nucleon magnetic moments as an example. Our analysis shows that the biggest effects of chiral dynamics occur for quark masses…

高能物理 - 唯象学 · 物理学 2007-05-23 A. W. Thomas , D. B. Leinweber , D. H. Lu

Recent results on pion physics from lattice QCD are reviewed. We discuss quark mass dependences of pion mass and decay constant and compare them with the predictions from chiral perturbation theory. In particular we focus on the convergence…

高能物理 - 格点 · 物理学 2014-11-20 Sinya Aoki

We compute low temperature corrections to the electromagnetic mass difference of pions in the chiral limit. The computation is done in a model independent way in the framework of chiral perturbation theory, using the background field method…

高能物理 - 唯象学 · 物理学 2014-11-17 C. Manuel , N. Rius

We study the finite quark mass effects of the low-energy QCD using the improved ladder Schwinger-Dyson and Bethe-Salpeter equations which are derived in the manner consistent with the vector and axial-vector Ward-Takahashi identities. The…

高能物理 - 唯象学 · 物理学 2009-10-31 K. Naito , K. Yoshida , Y. Nemoto , M. Oka , M. Takizawa

In light of recent experimental progress in determining the pressure and shear distributions in the proton, these quantities are calculated in a model with confined quarks supplemented by the pion field required by chiral symmetry. The…

高能物理 - 唯象学 · 物理学 2023-12-11 Shiryo Owa , A. W. Thomas , X. G. Wang

We calculate the mass shift for the pion in a finite volume with renormalization group (RG) methods in the framework of the quark-mesons model. In particular, we investigate the importance of the quark effects on the pion mass. As in…

高能物理 - 唯象学 · 物理学 2009-11-11 J. Braun , B. Klein , H. J. Pirner

Recent conceptual, algorithmic and technical advances allow numerical simulations of lattice QCD with Wilson quarks to be performed at significantly smaller quark masses than was possible before. Here we report on simulations of two-flavour…

高能物理 - 格点 · 物理学 2010-02-03 L. Del Debbio , L. Giusti , M. Lüscher , R. Petronzio , N. Tantalo

We demonstrate the lattice QCD calculation of the long distance contribution to $\epsilon_K$. Due to the singular, short-distance structure of $\epsilon_K$, we must perform a short-distance subtraction and introduce a corresponding…

高能物理 - 格点 · 物理学 2016-11-22 Ziyuan Bai

We investigate finite volume effects on the pion mass and the pion decay constant with renormalization group (RG) methods in the framework of a phenomenological model for QCD. An understanding of such effects is important in order to…

高能物理 - 唯象学 · 物理学 2009-11-11 B. Klein , J. Braun , H. J. Pirner

We present the (two--loop) QCD corrections to the longitudinal and transverse components of the electroweak gauge bosons self--energies for arbitrary momentum transfer and for different internal quark masses. Compact formulae for both the…

高能物理 - 唯象学 · 物理学 2014-11-17 A. Djouadi , P. Gambino

The pi^+ - pi^0 mass difference generated by the electroweak interactions of the Standard Model is expressed, to lowest order in the chiral expansion and to leading order in alpha, in terms of an integral involving the same correlation…

高能物理 - 唯象学 · 物理学 2008-11-26 M. Knecht , S. Peris , E. de Rafael

The electromagnetic contribution to the $K^+ - K^0$ mass difference is calculated in the $1/N_c$ approach including the $SU(3)$ breaking contributions due to a non-zero strange quark mass. The short-distance contribution can be…

高能物理 - 唯象学 · 物理学 2009-10-22 J. Bijnens

In planar QCD, in two space time dimensions, the meson eigenvalue equation has a nonlocal structure interpretable as resulting from hidden degrees of freedom. The nonlocality can be reconstructed from the functional form of the pion mass…

高能物理 - 格点 · 物理学 2010-04-05 R. Narayanan , H. Neuberger

The rare kaon decay $K^+\to\pi^+\nu\bar{\nu}$ is an ideal process in which to search for signs of new physics and is the primary goal of the NA62 experiment at CERN. In this paper we report on a lattice QCD calculation of the long-distance…

高能物理 - 格点 · 物理学 2019-12-11 Norman H. Christ , Xu Feng , Antonin Portelli , Christopher T. Sachrajda

We consider electroweak (EW) gauge boson corrections to the masses of pseudoscalar mesons to next to leading order (NLO) in $\alpha_s$ and $1/N_C$. The pion mass shift induced by the $Z$-boson is shown to be $m_{\pi^\pm}-m_{\pi^0} =…

高能物理 - 唯象学 · 物理学 2023-08-02 Antonio Pich , Arthur Platschorre , Mario Reig

Twisted mass fermions allow light quarks to be explored but with the consequence that there are mass splittings, such as between the neutral and charged pion. Using a direct calculation of the connected neutral pion correlator and…

We compute the mixed QCD-electroweak corrections to the cross section for the production of a Higgs boson via gluon fusion, in the limit of a small mass of the electroweak gauge bosons. This limit is regular and we calculate it by setting…

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