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Starting from hyperbolic dispersion relations, we derive a system of Roy--Steiner equations for pion Compton scattering that respects analyticity, unitarity, gauge invariance, and crossing symmetry. It thus maintains all symmetries of the…

High Energy Physics - Phenomenology · Physics 2011-09-27 Martin Hoferichter , Daniel R. Phillips , Carlos Schat

The relativistic perturbative approach based on the Bethe-Salpeter (BS) equation is developed for the study of the characteristics of the hadronic pi+ pi- atom. The general expression for the atom lifetime is derived. Lowest-order…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. A. Ivanov , V. E. Lyubovitskij , E. Z. Lipartia , A. G. Rusetsky

We calculate the one--loop corrections to the Kroll--Ruderman low--energy theorems for charged pion photoproduction in the framework of heavy baryon chiral perturbation theory. We predict the threshold S--wave multipole $E_{0+}$ to be…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. Bernard , N. Kaiser , Ulf-G. Meißner

We calculate the amplitude of pi-eta scattering in generalized chiral perturbation theory at the order O(p^4) and present preliminary results of the numerical analysis of the S-wave scattering length, which seems to be particularly…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Novotny , M. Kolesar

We study the decay $D^0\rightarrow \bar K^{*0} \pi^- e^+ \nu_e$, using $SU(2)_L \otimes SU(2)_R$ chiral perturbation theory for heavy charmed mesons and vector mesons, in the kinematic regime where $p_M \cdot p_\pi/m_M$ (here $M = D^0$ or…

High Energy Physics - Phenomenology · Physics 2014-11-17 Hooman Davoudiasl

We complete the recalculation of the available two-loop expressions for the reaction \gamma\gamma->\pi\pi in the framework of chiral perturbation theory. Here, we present the results for charged pions. The cross section and the values of…

High Energy Physics - Phenomenology · Physics 2009-11-11 Juerg Gasser , Mikhail A. Ivanov , Mikko E. Sainio

It has been pointed out that supersymmetric extensions of the Standard Model can induce significant changes to the theoretical prediction of the ratio $\Gamma(K\rightarrow e\nu)/\Gamma (K\rightarrow\mu\nu)\equiv R_{K}$, through lepton…

High Energy Physics - Phenomenology · Physics 2013-01-28 R. M. Fonseca , J. C. Romao , A. M. Teixeira

The combined use of chiral $SU(3)$ and heavy quark symmetries allows one to relate the hadronic form factors for the decay $\bar B\to \bar K\e^+\e^-$ to those for $\bar B\to\pi\e^-\bar\nu$. We investigate departures from the symmetry limit…

High Energy Physics - Phenomenology · Physics 2009-10-22 Adam F. Falk , Benjamin Grinstein

We have calculated the radiative corrections to the decay $\tau\to \pi(K) \nu_\tau$, taking to account internal bremsstrahlung and structure dependent radiation in the radiative decay and point meson, hadronic structure dependent and short…

High Energy Physics - Phenomenology · Physics 2009-10-28 Roger Decker , Markus Finkemeier

Using recently published, high-precision pi+pi- cross section data by the BABAR experiment from the analysis of e+e- events with high-energy photon radiation in the initial state, we reevaluate the lowest order hadronic contribution…

High Energy Physics - Phenomenology · Physics 2014-11-20 M. Davier , A. Hoecker , B. Malaescu , C. Z. Yuan , Z. Zhang

We report on dispersive and finite energy sum rule analyses of the electroweak penguin matrix elements < (pi pi) | Q_{7,8} | K > in the chiral limit. We accomplish the correct perturbative matching (scale and scheme dependence) at NLO in…

High Energy Physics - Phenomenology · Physics 2009-11-07 V. Cirigliano , J. F. Donoghue , E. Golowich , K. Maltman

By using the Renormalization Group Equations in Chiral Perturbation Theory, one can calculate the double chiral logs that appear at two loops in any matrix element. We calculate them in the $\pi \pi$ scattering amplitude, where they…

High Energy Physics - Phenomenology · Physics 2009-10-28 Gilberto Colangelo

We find that the phase appearing in the unitarity relation between $\mathcal{B}(K_L\rightarrow \mu^+\mu^-)$ and $\mathcal{B}(K_L\rightarrow \gamma\gamma)$ is equal to the phase shift in the interference term of the time-dependent…

High Energy Physics - Phenomenology · Physics 2023-06-13 Avital Dery , Mitrajyoti Ghosh , Yuval Grossman , Teppei Kitahara , Stefan Schacht

We calculate the decay $\eta\to3\pi$ at next-to-next-to-leading order or order $p^6$ in Chiral Perturbation Theory. The corrections are somewhat larger than was indicated by dispersive estimates. We present numerical results for the Dalitz…

High Energy Physics - Phenomenology · Physics 2009-01-06 Johan Bijnens , Karim Ghorbani

We give a convenient expression for the appearance probability P(nu_mu -> nu_e) describing neutrino oscillations in matter of constant density, derived using textbook quantum mechanics stratagems. Our formulation retains the clarity of an…

High Energy Physics - Phenomenology · Physics 2013-01-01 W. Anthony Mann , Tomas Kafka , Jacob Schneps , Ozgur Altinok

First full next-to-leading order analytical results in Chiral Perturbation Theory for the charged Kaon K -> 3 pi slope g and decay rates CP-violating asymmetries are presented. We discuss the constraints that a measurement of these…

High Energy Physics - Phenomenology · Physics 2017-08-23 Elvira Gamiz , Joaquim Prades , Ignazio Scimemi

We have calculated the form-factors F and G in K ---> pi pi e nu decays (Kl4) to two-loop order in Chiral Perturbation Theory (ChPT). Combining this together with earlier two-loop calculations an updated set of values for the L's, the ChPT…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. Amorós , J. Bijnens , P. Talavera

The decay K_L -> pi0 gamma e+ e- occurs at a it higher rate than the nonradiative process K_L -> pi0 e+ e-, and hence can be a background to CP violation studies using the latter reaction. It also has an interest in its own right in the…

High Energy Physics - Phenomenology · Physics 2009-10-30 John F. Donoghue , Fabrizio Gabbiani

Using a sample of over 400 million phi->KsKl decays produced during the years 2001 and 2002 at the DAFNE e+e- collider, the ratio R=Gamma(Ks->pi+pi-(g))/Gamma(Ks->pi0pi0) has been measured with the KLOE detector. The result is…

High Energy Physics - Experiment · Physics 2012-08-27 The KLOE Collaboration

I describe the methodology for the use of dispersion relations in connection with chiral perturbation theory. The conditions for matching the two formalisms are given at $O(E^2)$ and $O(E^4)$. The two have several complementary features, as…

High Energy Physics - Phenomenology · Physics 2007-05-23 John F. Donoghue
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