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The QCD vacuum condensates in the Operator Product Expansion are extracted from the final ALEPH data on vector and axial-vector spectral functions from $\tau$-decay. Weighted Finite Energy Sum Rules are employed in the framework of both…

High Energy Physics - Phenomenology · Physics 2010-10-27 C. A. Dominguez , K. Schilcher

Local quark-hadron duality violations in conventional applications of the operator product expansion are proposed to have their origin in the fact that the QCD vacuum or a hadronic state is not only characterized by nonvanishing expectation…

High Energy Physics - Phenomenology · Physics 2009-11-07 Ralf Hofmann

We review the Standard Model predictions of CP violation in kaon decays. We present an elementary introduction to Chiral Perturbation Theory, four--quark effective hamiltonians and the relation among them. Particular attention is devoted to…

High Energy Physics - Phenomenology · Physics 2014-11-17 G. D'Ambrosio , G. Isidori

I review recent lattice results in kaon physics, particularly in the determination of V_{us} and the B_K parameter of K^0-\bar{K}^0 mixing. I use lattice data to argue for the need of developing SU(2)_L \times SU(2)_R chiral perturbation…

High Energy Physics - Lattice · Physics 2014-11-20 C T Sachrajda

The two-body decay rate of a weakly decaying particle (such as the kaon) is shown to be proportional to the square of a well-defined transition matrix element in finite volume. Contrary to the physical amplitude, the latter can be extracted…

High Energy Physics - Lattice · Physics 2009-10-31 Laurent Lellouch , Martin Lüscher

The recent results in QCD at low energies are reported. The theoretical analysis of hadronic tau-decay is performed in complex q^2-plane. The terms of perturbation theory (PT) up to alpha^3_s are accounted, the terms of operator product…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. L. Ioffe

The ALEPH data on hadronic tau-decay is throughly analysed in the framework of QCD. The perturbative calculations are performed in 1-4-loop approximation. The analytical properties of the polarization operators are used in the whole complex…

High Energy Physics - Phenomenology · Physics 2009-11-07 B. V. Geshkenbein

Conventional methods to determine non-perturbative parameters in QCD, such as the different variants of QCD sum rules or the minimal hadronic approximation, combine a certain degree of matching to QCD with inputs from hadronic parameters.…

High Energy Physics - Phenomenology · Physics 2010-04-23 O. Cata

A review of the present experimental status of the rates and the Dalitz-plot slope parameters in CP conserving K->2\pi and K->3\pi decays is given. The corresponding isospin amplitudes have been determined by a common fit to the recent…

High Energy Physics - Phenomenology · Physics 2009-11-07 C. Cheshkov

We revisit the isospin-breaking and electromagnetic corrections to the decay $\tau^-\to\pi^-\pi^0\nu_\tau$, which allow its use as input in the two-pion contribution to the (leading order) hadronic vacuum polarization part of the muon…

High Energy Physics - Phenomenology · Physics 2021-01-04 J. A. Miranda , P. Roig

The leptonic decays of the tau lepton provide relevant tests on the structure of the weak currents and the universality of their couplings to the gauge bosons. The hadronic tau decay modes constitute an ideal tool for studying low--energy…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Pich

We calculate long-distance contributions to the amplitudes A(K^0 --> pi pi, I) induced by the gluon and the electroweak penguin operators Q_6 and Q_8, respectively. We use the 1/N_c expansion within the effective chiral lagrangian for…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. Hambye , G. O. Koehler , E. A. Paschos , P. H. Soldan , W. A. Bardeen

Standard lattice calculations in kaon physics are based on the evaluation of matrix elements of local operators between two single-hadron states or a single-hadron state and the vacuum. Recent progress in lattice QCD has gone beyond these…

High Energy Physics - Lattice · Physics 2018-04-18 Xu Feng

We present the matrix elements for the semileptonic kaon decays $K_{l2\gamma}$, $K_{l2l^+l^-}$, $K_{l2l'^+l'^-}$, $K_{l3}$, $K_{l3\gamma}$ and $K_{l4}$ at next-to-leading order in chiral perturbation theory and compare the predictions with…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Bijnens , G. Ecker , J. Gasser

Several different analysis methods have been developed to determine the strong coupling via finite-energy sum-rule analyses of hadronic $\tau$ decay data. While most methods agree on the existence of the well-known ambiguity in the choice…

High Energy Physics - Phenomenology · Physics 2017-03-01 Diogo Boito , Maarten Golterman , Kim Maltman , Santiago Peris

A sum rule analysis of the hadronic tau-decay data can be used to determine the low-energy constants L10(mu) and C87(mu). These constants are QCD chiral-order parameters, which appear at order p^4 and p^6, respectively, in the chiral…

High Energy Physics - Phenomenology · Physics 2009-08-03 M. Gonzalez-Alonso , A. Pich , J. Prades

We analyse the hadronization structure of both vector and axial-vector currents leading to tau -> KKpi nu_tau decays. At leading order in the 1/Nc expansion, and considering only the contribution of the lightest resonances, we work out,…

High Energy Physics - Phenomenology · Physics 2014-11-20 D. Gomez Dumm , P. Roig , A. Pich , J. Portoles

The consistent matching of short-distance contributions and hadronic matrix elements is crucial for precise predictions of weak processes involving hadrons. In this Letter, we address this point for charged-current processes involving two…

High Energy Physics - Phenomenology · Physics 2026-02-13 Vincenzo Cirigliano , Martin Hoferichter , Nicola Valori

Hadronization in tau -> K K pi nu_tau decays is driven by both vector and axial-vector currents that we study, guided by the following principles: The 1/N_C expansion -worked out at leading order, considering only the contribution of the…

High Energy Physics - Phenomenology · Physics 2016-01-21 Pablo Roig

The saturation of QCD chiral sum rules of the Weinberg-type is analyzed using ALEPH and OPAL experimental data on the difference between vector and axial-vector correlators (V-A). The sum rules exhibit poor saturation up to current energies…

High Energy Physics - Phenomenology · Physics 2009-11-10 C. A. Dominguez , K. Schilcher