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To one-loop order and $O(\alpha_{em})$, the electromagnetic mass splittings of $\pi$, $a_1$, $K$, $K_1(1400)$, and $K^*(892)$ are calculated in the framework of $U(3)_L\times U(3)_R$ chiral field theory. The logarithmic divergences emerging…

High Energy Physics - Phenomenology · Physics 2008-11-26 Dao-Neng Gao , Bing An Li , Mu-Lin Yan

The calculation of the long-distance contribution to the $K^0-\bar{K}^0$ mass matrix is divided into three parts: First, the calculation of the matrix element between kaon states of the product of two space-time integrated, $\Delta S=1$,…

High Energy Physics - Lattice · Physics 2010-12-30 Norman H. Christ

We estimate the long distance contribution to the $K^+ \rightarrow \pi^+ \nu \bar\nu$ decay amplitude using chiral perturbation theory. We find that it is likely to be less than a few percent of the part of the short distance contribution…

High Energy Physics - Phenomenology · Physics 2009-10-28 Ming Lu , Mark B. Wise

Electromagnetic mass difference between neutral $K^*$ and charged $K^*$ has been calculated in the $U(3)_L\times U(3)_R$ chiral fields theory of mesons. It has been revealed that the non-abelian gauge structure of the massive Yang-Mills…

High Energy Physics - Phenomenology · Physics 2007-05-23 Mu-Lin Yan , Dao-Neng Gao

The largest contribution to the CP violating K_L-K_S mixing parameter \epsilon_K comes from second order weak interactions at short distances and can be accurately determined by a combination of electroweak perturbation theory and the…

High Energy Physics - Lattice · Physics 2012-01-11 Norman H. Christ

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

We use the 1/N_c method to estimate electromagnetic contributions to vector meson masses and mixings. We identify several new sources of rho-omega mixing coming from short-distance effects. We comment on the extraction of quark masses from…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. Bijnens , P. Gosdzinsky

The real and imaginary parts of the $K_L-K_S$ mixing matrix receive contributions from all three charge-2/3 quarks: up, charm and top. These give both short- and long-distance contributions which are accessible through a combination of…

High Energy Physics - Lattice · Physics 2014-02-12 Norman Christ , Taku Izubuchi , Christopher T. Sachrajda , Amarjit Soni , Jianglei Yu

We report on the calculation by the MILC Collaboration of the electromagnetic effects on kaon and pion masses. These masses are computed in QCD with dynamical (asqtad staggered) quarks plus quenched photons at three lattice spacings varying…

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 compute the electromagnetic mass differences of mesons containing a single heavy quark in terms of measurable data using QCD-based arguments in heavy-quark effective theory. We derive an unsubtracted dispersion relation that shows that…

High Energy Physics - Phenomenology · Physics 2016-09-01 Markus A. Luty , Raman Sundrum

The interplay between short- and long-distance contributions to the K_L-->mu+ mu- decay amplitude is analyzed. The long-distance piece is estimated using chiral perturbation theory techniques and large-N_C considerations, leading to a…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Gomez Dumm , A. Pich

We present a method to non-perturbatively determine the long-distance contribution to the $K_{L}$-$K_{S}$ mass difference. The calculation is performed on 2+1 flavor, domain wall fermion, $16^3\times32$ configurations with a 421 MeV pion…

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

We calculate electromagnetic mass difference of mesons using a method proposed by Duncan {\it et al}. The RG-improved gauge action and the non-compact Abelian gauge action are employed to generate configurations. Quark propagators in the…

High Energy Physics - Lattice · Physics 2007-05-23 Yusuke Namekawa , Yoshio Kikukawa

A previous work establishing a connection between a quark model, with relativistic kinematics and a $Y$-confinement plus one gluon exchange, and the $1/N_c$ expansion mass formula is extended to strange baryons. Both methods predict values…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Semay , F. Buisseret , F. Stancu

We analyze data on $B\to K\mu^+\mu^-$ and $B\to K^*\mu^+\mu^-$ decays in the whole dilepton invariant mass spectrum with the aim of disentangling short- vs. long-distance contributions. The sizable long-distance amplitudes from $c \bar{c}$…

High Energy Physics - Phenomenology · Physics 2024-05-08 Marzia Bordone , Gino isidori , Sandro Mächler , Arianna Tinari

The unknown constants in Chiral Perturbation Theory needed for an all orders analysis of the polarizabilities and electromagnetic corrections to the masses of the pseudo-Goldstone bosons are estimated at leading order in $1/N_c$. We…

High Energy Physics - Phenomenology · Physics 2009-10-28 Johan Bijnens , Joaquim Prades

The contributions to heavy meson mass differences by the strong hyperfine interaction, the light quark masses and the electromagnetic interaction are obtained from the empirical values of the $D$, $D^*$, $B$ and $B^*$ masses by means of a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jose L. Goity , Chandana P. Jayalath

The electromagnetic corrections to the masses of the pseudoscalar mesons $\pi$ and $K$ are considered. We calculate in chiral perturbation theory the contributions which arise from resonances within a photon loop at order $O(e^2 m_q)$.…

High Energy Physics - Phenomenology · Physics 2009-10-28 Robert Baur , Res Urech

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…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Knecht , S. Peris , E. de Rafael
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