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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

We discuss the theoretical and experimental status of the CP violating ratio eps'/eps. We revise our 1997 standard-model estimate-based on hadronic matrix elements computed in the chiral quark model up to O(p^4) in the chiral expansion-by…

High Energy Physics - Phenomenology · Physics 2014-11-17 Stefano Bertolini , Jan O. Eeg , Marco Fabbrichesi

We present a new method to evaluate with high precision the isospin breaking effects due to the mass difference between the up and down quarks using lattice QCD. Our proposal is applicable in principle to any hadronic observable which can…

We calculate the electromagnetic corrections needed to obtain isospin invariant hadronic pion-pion s-wave scattering lengths a^0, a^2 from the elements a_cc, a_0c of the s-wave scattering matrix for the (\pi^+ \pi^-, \pi^0 \pi^0) system at…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Gashi , G. C. Oades , G. Rasche , W. S. Woolcock

Spin alignment of vector mesons in heavy-ion collisions provides a novel probe of quark polarization and hadronization mechanism in quark-gluon plasma. Hadronic rescattering may affect the measured spin alignment of vector mesons due to…

Nuclear Experiment · Physics 2025-07-02 Zihan Liu , Ziyang Li , Wangmei Zha , Zebo Tang

Threshold expansions of the $\pi\pi$ and $K\overline{K}$ spin 0 and isospin 0 scattering amplitudes are performed. Scattering lengths, effective ranges and so--called volume parameters are evaluated. Good agreement with the existing…

High Energy Physics - Phenomenology · Physics 2009-10-28 R. Kaminski , L. Lesniak

We discuss a number of two loop (vertex) integrals relevant for pi K scattering at threshold. As such these are functions of two well separated mass scales, M\_pi/M\_K << 1. The method of regions allows an expansion in this mass ratio prior…

High Energy Physics - Phenomenology · Physics 2009-11-11 Roland Kaiser , Julia Schweizer

We derive a general formula for the correlation function of two identical particles with the inclusion of multiple elastic scatterings in the medium in which the two particles are produced. This formula involves the propagator of the…

Nuclear Theory · Physics 2008-11-26 J. I. Kapusta , Y. Li

Within a dynamical model, rescattering effects are studied in coherent pion photoproduction on the deuteron in the $\Delta$(1232) resonance region. The model consists of a system of coupled equations for the N$\Delta$, NN$\pi$ and NN…

Nuclear Theory · Physics 2009-10-30 P. Wilhelm , H. Arenhoevel

Resonances play an important role in Standard Model phenomenology. In particular, hadronic resonances feature in $B$ and $D$ decays, which can be central for New Physics searches. Lattice QCD simulations combined with the finite-volume…

High Energy Physics - Lattice · Physics 2022-12-01 Nelson Pitanga Lachini , Peter Boyle , Felix Erben , Michael Marshall , Antonin Portelli

We present a new method for determining K --> pi pi matrix elements from lattice simulations that is less costly than direct simulations of K --> pi pi at physical kinematics. It improves, however, upon the traditional "indirect'' approach…

High Energy Physics - Lattice · Physics 2011-07-13 Jack Laiho , Ruth S. Van de Water

We present a new method to evaluate with high precision isospin breaking effects due to the small mass difference between the up and down quarks using lattice QCD. Our proposal is applicable in principle to any hadronic observable which can…

Analytic models for hadron-hadron scattering are characterized by analytical parametrizations for the forward amplitudes and the use of dispersion relation techniques to study the total cross section $\sigma_{tot}$ and the $\rho$ parameter.…

High Energy Physics - Phenomenology · Physics 2009-11-07 R. F. Ávila , E. G. S. Luna , M. J. Menon

We consider the contribution of scalar resonances to hadronic light-by-light scattering in the anomalous magnetic moment of the muon. While the $f_0(500)$ has already been addressed in previous work using dispersion relations, heavier…

High Energy Physics - Phenomenology · Physics 2021-07-19 Igor Danilkin , Martin Hoferichter , Peter Stoffer

The five different CP conserving amplitudes for the decays $K\to3\pi$ are calculated using Chiral Perturbation Theory. The calculation is made to next-to-leading order and includes full isospin breaking. The squared amplitudes are compared…

High Energy Physics - Phenomenology · Physics 2009-11-10 Johan Bijnens , Fredrik Borg

The model independent analysis of the $dp$ elastic scattering in the collinear geometry has been performed. It is shown that the measurements of 10 polarization observables of the first and second order realize the complete experimental…

General Relativity and Quantum Cosmology · Physics 2016-08-31 V. P. Ladygin , N. B. Ladygina

An analysis of the data on forward $pp, \bar pp, \pi^{\pm}p$ and $K^{\pm}p$ scattering is performed making use of the single- and double-subtraction integral and comparing with derivative dispersion relations for amplitudes. Various pomeron…

High Energy Physics - Phenomenology · Physics 2012-02-08 A. Alkin , J. R. Cudell , E. Martynov

We study phi photoproduction with various hadronic rescattering contributions included, in addition to the Pomeron and pseudoscalar meson-exchange diagrams. We find that the hadronic box diagrams can explain the recent experimental data in…

High Energy Physics - Phenomenology · Physics 2014-05-07 Hui-Young Ryu , Alexander I. Titov , Atsushi Hosaka , Hyun-Chul Kim

A review on the requirements of chiral symmetry on effective quark models is presented. The connection between the pion Salpeter amplitude and the mass gap equation is discussed. Hadronic scattering, notably, $\pi\pi$ scattering is…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. E. Ribeiro

We have performed a systematical calculation of the pion ($\pi, K, \eta$) and heavy pseudoscalar meson S-wave scattering lengths up to ${\cal O}(p^3)$ in the chiral perturbation theory in the heavy quark symmetry limit. With the three…

High Energy Physics - Phenomenology · Physics 2009-07-30 Yan-Rui Liu , Xiang Liu , Shi-Lin Zhu