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We calculate radiative corrections to the flavor-changing neutral current process K --> pi l+ l-, both for charged and neutral kaon decays. While the soft-photon approximation is shown to work well for the muon channels, we discuss the…

High Energy Physics - Phenomenology · Physics 2010-11-23 Bastian Kubis , Rebekka Schmidt

The branching ratio of the $K^+\to\pi^+e^+e^-e^+e^-$ ($K^+\to\pi^+4e$) decay is calculated at leading order in the Standard Model. The dominance of the neutral-pion pole determines the overall branching ratio to be…

High Energy Physics - Phenomenology · Physics 2022-10-20 Tomáš Husek

We calculate the rates and lepton (l) invariant mass distributions for decays of the form 0^{-+}->l^+l^-\gamma, which are important radiative corrections to the purely leptonic decays 0^{-+}->l^+l^-. Our approach uses the loop diagrams…

High Energy Physics - Phenomenology · Physics 2009-10-31 Duane A. Dicus , Wayne W. Repko

Processes of electron-positron annihilation into charged pions and kaons are considered. Radiative corrections are taken into account exactly in the first order and within the leading logarithmic approximation in higher orders. A combined…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. B. Arbuzov , V. A. Astakhov , A. V. Fedorov , G. V. Fedotovich , E. A. Kuraev , N. P. Merenkov

We review some new developments in the theoretical description of the processes K ->pi gamma gamma, K_L ->gamma l^+ l^-, K_L ->pi^0 e^+ e^- and K_L ->mu^+ mu^-.

High Energy Physics - Phenomenology · Physics 2009-10-30 Giancarlo D'Ambrosio

We reconsider QED radiative corrections (RC) to the $\pi^{0}\to e^{+}e^{-}$ decay width. One kind of RC investigated earlier has a renormalization group origin and can be associated with the final state interaction of electron and positron.…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. E. Dorokhov , E. A. Kuraev , Yu. M. Bystritskiy , M. Secanský

The long-distance and non-local parts of the form factors describing the single-photon mediated $K_{S,L}\to\pi^0\gamma^*\to\pi^0\ell^+\ell^-$ ($\ell = e, \mu$) transitions in the standard model are addressed in QCD in the limit where the…

High Energy Physics - Phenomenology · Physics 2024-09-16 Giancarlo D'Ambrosio , Marc Knecht

In this paper, radiative decays $\rho^0 \to \pi^+\pi^-\gamma, \pi^0\pi^0\gamma$ ,$\phi \to K^+K^-\gamma, K^0 \bar{K^0}\gamma$ are studied systematically in the U(3)$_L\timesU(3)_R$ chiral theory of mesons. The theoretical differential…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. -L. Zhuang , X. -J. Wang , M. -L. Yan

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

Within the frameworks of the light-front quark model (LFQM) and chiral perturbation theory (ChPT) of $O(p^6)$, we reevaluate the form factors of the $K^+ \to \gamma$ transition. We use these form factors to study the decay of $K^+ \to e^+…

High Energy Physics - Phenomenology · Physics 2008-11-26 Chuan-Hung Chen , Chao-Qiang Geng , Chong-Chung Lih

We re-investigate the radiative charged kaon decay K+- --> pi0 e+- nu_e gamma in chiral perturbation theory, merging the chiral expansion with Low's theorem. We thoroughly analyze the precision of the predicted branching ratio relative to…

High Energy Physics - Phenomenology · Physics 2008-11-26 Bastian Kubis , Eike H. Müller , Jürg Gasser , Martin Schmid

We consider the process of annihilation of e^+ e^- to three pion final state for the case of moderately high energies. The final state emission of virtual and real photon is considered explicitly. The calculations are performed in frames of…

High Energy Physics - Phenomenology · Physics 2013-05-29 S. Bakmaev , Yu. M. Bystritskiy , E. A. Kuraev

The transition amplitude of a kaon to a pion and two off-shell photons is studied. First, it is computed at leading order (one-loop level) of the Chiral Perturbation Theory expansion. Explicit analytical results for the leading-order…

High Energy Physics - Phenomenology · Physics 2025-10-27 Tomáš Husek

The radiative decay $K^+ \to \pi^+ \pi^0 \gamma$ ($K_{\pi 2 \gamma}$) has been measured with stopped positive kaons. A $K_{\pi 2 \gamma}$ sample containing 4k events was analyzed, and the $K_{\pi 2 \gamma}$ branching ratio of the direct…

High Energy Physics - Experiment · Physics 2008-11-26 Suguru Shimizu , for KEK-E470 Collaboration

This work aims to review several aspects of the current status of the rare $\pi^0\to e^+e^-$ decay. A particular emphasis is made on radiative corrections and detailed interpretation of related quantities, some numbers appearing in the…

High Energy Physics - Phenomenology · Physics 2024-08-28 Tomáš Husek

Experimental and theoretical progress concerning the rare decay \pi^0 \to e^+e^- is briefly reviewed. It includes the latest data from KTeV and a new model independent estimate of the decay branching which show the deviation between…

High Energy Physics - Phenomenology · Physics 2014-11-20 A. E. Dorokhov

In view of the recent interest in the decays of mesons into a pair of light leptons, a computation of the QED radiative corrections to the decay of $\pi^{0}$ into an electron-positron pair is presented here. The results indicate that the…

High Energy Physics - Phenomenology · Physics 2015-06-25 George Triantaphyllou

We evaluate the matrix elements for the radiative kaon decays $K^+ \to l^+\nu_l\gamma$, $l^+ \nu_l l'^+ l'^-$ and $K \to \pi l \nu_l\gamma$ \ ($l,\ l' = e,\mu$) to next-to-leading order in chiral perturbation theory. We calculate total…

High Energy Physics - Phenomenology · Physics 2011-09-29 J. Bijnens , G. Ecker , J. Gasser

We present a complete calculation of the K_{l3} decays K^+ --> pi^0 l^+ nu_l and K^0 --> pi^- l^+ nu_l to O(p^4, (m_d-m_u) p^2, e^2 p^2) in chiral perturbation theory with virtual photons and leptons. We introduce the concept of generalized…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. Cirigliano , M. Knecht , H. Neufeld , H. Rupertsberger , P. Talavera

We report on results of an experimental search for the K_L -> pi^+ pi^- e^+ e^- decay mode. We found 13.5 +- 4.0 events and determined its branching ratio to be (4.4 +- 1.3(stat) +- 0.5(syst))*10^{-7}. The result agrees well with the…

High Energy Physics - Experiment · Physics 2008-11-26 Y. Takeuchi , Y. Hemmi , H. Kurashige , Y. Matono , K. Murakami , T. Nomura , H. Sakamoto , N. Sasao , M. Suehiro , Y. Fukushima , Y. Ikegami , T. T. Nakamura , T. Taniguchi , M. Asai
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