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We extend in several respects our earlier work on O(p^2) corrections to matrix elements of the electroweak penguin operator O_{ewp}. First, to facilitate comparison with certain lattice studies we calculate O(p^2) corrections to…

High Energy Physics - Phenomenology · Physics 2009-11-07 Vincenzo Cirigliano , Eugene Golowich

In this Ph.D. Thesis we analyze some CP-violating observables in Kaon decays. In Chapters 1-3 we describe the framework in which this Thesis has been developed and establish the definitions and notation. In Chapter 4 we study CP-violating…

High Energy Physics - Phenomenology · Physics 2007-05-23 Elvira Gamiz

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

CP-violation in $\Delta A_{\textrm {CP}} = -0.154(29)$, in the $D^0 \to \pi^+\pi^-/K^+K^-$ system, is established and its central value is one order of magnitude above the naive Standard Model (SM) estimate. It remains unclear whether this…

High Energy Physics - Phenomenology · Physics 2022-08-17 James Lyon , Roman Zwicky

The observables epsilon_K and Delta M_K play a prominent role in particle physics due to their sensitivity to new physics at short distances. To take advantage of this potential, a firm theoretical prediction of the standard-model…

High Energy Physics - Phenomenology · Physics 2012-03-21 Joachim Brod , Martin Gorbahn

We present a status report on our study of long-distance contributions to the decay amplitudes A(K^0 --> pi pi, I) in the framework of the 1/N expansion. We argue that a modified prescription for the identification of meson momenta in the…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. H. Soldan

We expose a potential flaw in standard treatments of weak decay amplitudes, including that of epsilon'/epsilon. We show that (contrary to conventional wisdom) dimension-eight operators do contribute to weak amplitudes, at order G_F alpha_s…

High Energy Physics - Phenomenology · Physics 2014-11-17 Vincenzo Cirigliano , John F. Donoghue , Eugene Golowich

The quantities $\epsilon_K^\prime$ and $\epsilon_K$ measure the amount of direct and indirect CP violation in $K\to \pi\pi$ decays, respectively. Using the recent lattice results from the RBC and UKQCD Collaborations and a new compact…

High Energy Physics - Phenomenology · Physics 2016-12-26 Teppei Kitahara , Ulrich Nierste , Paul Tremper

The theoretical status of direct CP violation $\epsilon'/\epsilon$ is briefly reviewed. Special attention is paid to the recent new consistent predictions for both the ratio $\epsilon'/\epsilon$ and the $\Delta I = 1/2$ rule within the…

High Energy Physics - Phenomenology · Physics 2017-08-23 Yue-Liang Wu

We discuss direct $CP$ violation in the standard model by giving a new estimate of $\varepsilon'/\varepsilon$ in kaon decays. Our analysis is based on the evaluation of the hadronic matrix elements of the \mbox{$\Delta S =1$} effective…

High Energy Physics - Phenomenology · Physics 2014-11-17 S. Bertolini , J. O. Eeg , M. Fabbrichesi

We calculate the effect of two CP-violating (dimension-eight) operators of the SU(2)-Higgs model on the motion along a particular path from the vacuum to the sphaleron. It turns out that CP-violation may introduce a difference between the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Bert-Jan Nauta

Estimates of the CP violating observable $\varepsilon'/\varepsilon$ have gained some attention in the past few years. Depending on the long-distance treatment used, they exhibit up to $2.9\sigma$ deviation from the experimentally measured…

High Energy Physics - Phenomenology · Physics 2018-12-11 Jason Aebischer

We calculate the QCD corrected effective Hamiltonian for $B\bbar$--Mixing in heavy quark effective theory including corrections of the order $\Lambda_{QCD} / m_b$. The matrix elements of the subleading operators are estimated using the…

High Energy Physics - Phenomenology · Physics 2009-10-22 Wolfgang Kilian , Thomas Mannel

We review recent speculations on power like corrections in QCD which go beyond the standard Operator Product Expansion. Both the theoretical picture underlying these corrections and phenomenological manifestations are discussed in some…

High Energy Physics - Phenomenology · Physics 2009-10-31 F. V. Gubarev , M. I. Polikarpov , V. I. Zakharov

In this short review, I present the recent lattice computations of kaon weak matrix elements relevant to $K \to \pi\pi$ decays and neutral kaon mixing. These matrix elements are key to the theoretical determination of the CP violation…

High Energy Physics - Lattice · Physics 2015-12-09 Nicolas Garron

We present results for $\varepsilon_K$, the indirect CP violation parameter, calculated in the Standard Model using inputs from lattice QCD: the kaon bag parameter $\hat{B}_K$, and the CKM matrix element $V_{cb}$ from the axial current form…

High Energy Physics - Lattice · Physics 2014-11-13 Jon A. Bailey , Yong-Chull Jang , Weonjong Lee

CP-violation (CPV) is a rare phenomenon in the Standard Model whilst there is compelling indirect evidence for additional CPV sources in the Universe. The search for CPV effects at the LHC is thus one of the best-motivated precision tests…

High Energy Physics - Phenomenology · Physics 2024-09-04 Alejo N. Rossia , Eleni Vryonidou

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 present our preliminary results for three-point correlation functions involving the operators entering the $\Delta{S}=1$ effective Hamiltonian with an active charm quark, obtained using overlap fermions in the quenched approximation.…

High Energy Physics - Lattice · Physics 2016-09-01 L. Giusti , P. Hernandez , M. Laine , C. Pena , J. Wennekers , H. Wittig

We present a QCD analysis of the effective weak Hamiltonian at hadronic energy scales for strangeness-nonchanging ($\Delta S=0$) hadronic processes. Performing a leading-order renormalization group analysis in QCD from the $W$ to the ${\cal…

High Energy Physics - Phenomenology · Physics 2022-08-31 Susan Gardner , Girish Muralidhara