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Related papers: Obtaining K to pi pi from Off-Shell K to pi Amplit…

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We use one-loop chiral perturbation theory to compare potential lattice computations of the K+ --> pi+ pi0 decay amplitude at m_K=2m_pi with the experimental value. We find that the combined one-loop effect due to this unphysical pion to…

High Energy Physics - Lattice · Physics 2016-08-25 Maarten F. L. Golterman , Ka Chun Leung

We derive the vertices of five-meson and seven-meson anomaly processes from the four dimensional expansion form of Wess-Zumino term. Using these vertices we calculate the amplitude, both the finite part and divergent part, of {$K^+ K^-…

High Energy Physics - Phenomenology · Physics 2008-02-03 H. H. Shih , Y. C. Lin

The $K^{+} \to \pi^{+}\pi^{0}\pi^{0}\gamma$ decay is observed by the OKA collaboration. The branching ratio is measured to be $(4.1 \pm 0.9(stat) \pm 0.4(syst))\times 10^{-6}$. The branching ratio and $\gamma$ energy spectrum are consistent…

Preliminary results of the strong interaction shift and width in pionic hydrogen ($\pi H$) using an X-ray spectrometer with spherically bent crystals and CCDs as X-ray detector are presented. In the experiment at the Paul Scherrer Institute…

Atomic Physics · Physics 2007-05-23 Martino Trassinelli

We present a model-independent analysis of $K^+\to\pi^+\ell^+\ell^-$ and $K_S\to\pi^0\ell^+\ell^-$ decays, including $K\to 3 \pi$ unitarity corrections and a general decomposition of the dispersive amplitude. From the existing data on…

High Energy Physics - Phenomenology · Physics 2010-02-03 G. D'Ambrosio , G. Ecker , G. Isidori , J. Portoles

A recent analysis of data on the two photon production of the $\eta_c$ and its decay to $K(K\pi)$ has determined the $K\pi$ $S$-wave amplitude in a "model-independent" way assuming primarily that the additional kaon is a spectator in this…

High Energy Physics - Phenomenology · Physics 2017-11-22 A. Palano , M. R. Pennington

The decay rates for $B^0 \to K^+ \pi^-$, $B^+ \to K^0 \pi^+$, and the charge-conjugate processes were found to provide information on the weak phase $\gamma \equiv {\rm Arg}(V_{ub}^*)$ when the ratio $r$ of weak tree and penguin amplitudes…

High Energy Physics - Phenomenology · Physics 2014-11-17 Michael Gronau , Jonathan L. Rosner

First we extract the long-distance (LD) weak matrix element from certain data and give compatible theoretical estimates. We also link this LD scale to the single-quark-line (SQL) transition scale and then test the latter SQL scale against…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. Lowe , M. D. Scadron

A general review is presented on the problem of non perturbative computation of the $K\to\pi\pi$ transition amplitude.

High Energy Physics - Lattice · Physics 2009-10-30 M. Testa

The energy dependence of chirally expanded pi N isoscalar and isovector amplitudes b_0(E) and b_1(E) respectively, for zero-momentum off shell pions near threshold, is used to impose the minimal substitution requirement E -> E - V_c on the…

Nuclear Theory · Physics 2015-06-26 E. Friedman , A. Gal

We extend a recent calculation of the momentum dependence of the $\rho-\omega$ mixing amplitude to the pseudoscalar sector. The $\pi\!-\!\eta$ mixing amplitude is calculated in a hadronic model where the mixing is driven by the…

Nuclear Theory · Physics 2008-11-26 J. Piekarewicz

In this work we construct the $\pi\pi$ scattering amplitude $T^0_0$ with regular analytical properties in the $s$ complex plane, which describes simultaneously the data on the $\pi\pi$ scattering, $\phi\to\pi^0\pi^0\gamma$ decay, and…

High Energy Physics - Phenomenology · Physics 2015-03-17 N. N. Achasov , A. V. Kiselev

Weak decay tree and annihilation - t-channel W - exchange amplitudes for the D0 -> K0S pi+ pi- process are calculated using quasi two-body QCD factorization approach and unitarity constraints. Final state strong kaon-pion and pion-pion…

High Energy Physics - Phenomenology · Physics 2015-06-11 B. Loiseau , J. -P. Dedonder , A. Furman , R. Kaminski , L. Lesniak

We discuss the results of a systematic calculation of the next-to-next-to-leading order amplitude for the pp -> pp\pi^0 S-wave production at the threshold in heavy-baryon chiral perturbation theory. We find six new diagrams, two of which…

Nuclear Theory · Physics 2008-11-26 V. Dmitrašinović , K. Kubodera , F. Myhrer , T. Sato

The phases of terms of amplitude that arise from the $\pi\pi$ interaction are obtained by using a simple realistic model of $\pi\pi$ interaction via virtual $\rho$-meson, instead of the ChPT. It is shown that the standard ChPT approach…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. S. Bulanov

We consider the scalar form factor in $\tau \to K\pi \nu_\tau$ decays. It receives contributions both from the scalar resonance $K_0^*(1430)$ and from the scalar projection of off-shell vector resonances. We construct a model for the…

High Energy Physics - Phenomenology · Physics 2009-10-28 Markus Finkemeier , Erwin Mirkes

We establish the framework for the comparison of $\pi K$ scattering amplitudes from SU(3) chiral perturbation theory with suitable dispersive representations which result from the combination of certain fixed-t dispersion relations with…

High Energy Physics - Phenomenology · Physics 2009-01-07 B. Ananthanarayan , P. Büttiker

We explore application of the domain wall fermion formalism of lattice QCD to calculate the $K\to\pi\pi$ decay amplitudes in terms of the $K\to\pi$ and $K\to 0$ hadronic matrix elements through relations derived in chiral perturbation…

We discuss various models and Chiral Perturbation Theory results for the $K_{l4}$ form factors $F$ and $G$. We check in how much a simple parametrization with a few parameters can be used to extract information from experiment.

High Energy Physics - Phenomenology · Physics 2008-11-26 Gabriel Amoros , Johan Bijnens

Phases of elements of the Cabibbo-Kobayashi-Maskawa (CKM) matrix can be obtained using decays of $B$ mesons to $\pi^+ \pi^-$, $\pi^\pm K^\mp$, and $\pi^+ K^0$ or $\pi^- \overline{K}^0$. For $B^0~{\rm or}~ \overline{B}^0 \to \pi^+ \pi^-$,…

High Energy Physics - Phenomenology · Physics 2010-11-23 Amol S. Dighe , Michael Gronau , Jonathan L. Rosner