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We analyze power-suppressed contributions to singlet pseudoscalar $\eta$ and $\eta^{\prime}$ meson transition form factors. These corrections stem from endpoint singularities and help improve the agreement between QCD theory and the…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. G. Stefanis , S. S. Agaev

Meson transition form factors describe the coupling of photons and hadrons. They are an important input to the calculations of the light-by-light scattering contribution of the anomalous magnetic moment of the muon. At the BESIII experiment…

High Energy Physics - Experiment · Physics 2019-07-24 C. F. Redmer

Using dispersion theory, the electromagnetic Sigma-to-Lambda transition form factors are expressed as the product of the pion electromagnetic form factor and the $\Sigma\bar{\Lambda}\to\pi\pi$ scattering amplitudes with the latter estimated…

High Energy Physics - Phenomenology · Physics 2023-04-05 Yong-Hui Lin , Hans-Werner Hammer , Ulf-G. Meißner

The couplings of the isosinglet axial-vector currents to the Eta and Eta' mesons are evaluated in a stable, model independent way by use of polynomial kernels in dispersion integrals. The corrections to the Gell-Mann-Oakes-Renner relation…

High Energy Physics - Phenomenology · Physics 2017-11-17 N. F. Nasrallah

We consider the evaluation of the $\eta\pi$ isospin-violating vector and scalar form factors relying on a systematic application of analyticity and unitarity, combined with chiral expansion results. It is argued that the usual analyticity…

High Energy Physics - Phenomenology · Physics 2014-07-11 S. Descotes-Genon , B. Moussallam

By means of QCD sum rules in local-duality limit, we analyze the behaviour of the form factors for the transitions of a real and a virtual photon to some pseudoscalar meson as functions of the involved momentum transfer. Except for the…

High Energy Physics - Phenomenology · Physics 2012-12-27 Irina Balakireva , Wolfgang Lucha , Dmitri Melikhov

The general features of baryon form factors calculated with point form kinematics are derived. With point form kinematics and spectator currents hadronic form factors are functions of $\eta:={1\over 4}(v_{out}-v_{in})^2$ and, over a range…

Nuclear Theory · Physics 2015-06-26 F. Coester , D. O. Riska

The eta-photon transition form factor is evaluated in a formalism based on a phenomenological description at low values of the photon virtuality, and a QCD-based description at high photon virtualities, matching at a scale $Q_{0}^{2}$. The…

High Energy Physics - Phenomenology · Physics 2015-06-03 S. Noguera , S. Scopetta

The transition form factors describing the semileptonic decays of heavy pseudoscalar mesons are investigated within a relativistic constituent quark model formulated on the light-front. For the first time, the form factors are calculated in…

High Energy Physics - Phenomenology · Physics 2009-10-28 I. L. Grach , I. M. Narodetskii , S. Simula

Eta-eta' mixing is discussed in the quark-flavor basis with the hypothesis that the decay constants follow the pattern of particle state mixing. On exploiting the divergences of the axial vector currents - which embody the axial vector…

High Energy Physics - Phenomenology · Physics 2009-11-07 Th. Feldmann , P. Kroll

We update the theoretical framework for the QCD calculation of transition form factors $\gamma^*\gamma\to\eta$ and $\gamma^*\gamma\to\eta'$ at large photon virtualities including full next-to-leading order analysis of perturbative…

High Energy Physics - Phenomenology · Physics 2014-10-22 S. S. Agaev , V. M. Braun , N. Offen , F. A. Porkert , A. Schäfer

We analyze the form factors of the electromagnetic nucleon-to-Roper-resonance transition in the framework of low-energy effective field theory. A systematic power-counting procedure is generated by applying the complex-mass scheme. Within…

Nuclear Theory · Physics 2015-06-18 T. Bauer , S. Scherer , L. Tiator

We investigate the form factors for pseudoscalar-meson-photon transitions by means of dispersive QCD sum rules and demonstrate that most of the measurements done so far (in particular, those by BaBar for $\eta,$ $\eta',$ and $\eta_c$ and…

High Energy Physics - Phenomenology · Physics 2014-04-15 Wolfgang Lucha , Dmitri Melikhov

Coupled-channel effects are taken into account for the study of scalar form factors in semi-leptonic $D\to\pi\bar{\ell}\nu_\ell$ and $D\to \bar{K}\bar{\ell}\nu_\ell$ decays, by solving the Muskhelishvili-Omn\`es integral equations. As…

High Energy Physics - Phenomenology · Physics 2017-12-01 De-Liang Yao , Miguel Albaladejo , Pedro Fernández-Soler , Feng-Kun Guo , Juan Nieves

In this paper, we study sign changes of weakly holomorphic modular forms which are given as $\eta$-quotients. We give representative examples for forms of negative weight, weight zero, and positive weight.

Number Theory · Mathematics 2024-09-12 Kathrin Bringmann , Guoniu Han , Bernhard Heim , Ben Kane

Electromagnetic and Lorentz-scalar form factors are calculated for a bound system of two spin-less particles exchanging a zero-mass scalar particle. Different approaches are considered including solutions of a Bethe-Salpeter equation, a…

High Energy Physics - Phenomenology · Physics 2009-11-10 B. Desplanques , L. Theussl

The double-logarithmic series of non-relativistic $B_c \to \eta_c$ form factors at large recoil is governed by a coupled set of integral equations, reflecting an intricate interplay between arbitrarily many soft-quark and soft-gluon…

High Energy Physics - Phenomenology · Physics 2026-05-21 Guido Bell , Philipp Böer , Thorsten Feldmann , Dennis Horstmann , Vladyslav Shtabovenko

The eta-gamma and eta'-gamma transition form factors are analyzed to leading-twist accuracy and next-to-leading order (NLO) of perturbative QCD. Using an eta-eta' mixing scheme and all currently available experimental data the lowest…

High Energy Physics - Phenomenology · Physics 2025-01-09 Peter Kroll , Kornelija Passek-Kumericki

In this communication we discuss few topics related with modern experimental data on the physics of light pseudoscalar mesons. It includes the contribution of the pseudoscalar mesons to the muon anomalous magnetic moment (AMM), $g-2$, the…

High Energy Physics - Phenomenology · Physics 2015-05-30 A. E. Dorokhov

We study photon-meson transition formfactors of light mesons in the kinematics, where one photon is real and other is virtual. Dispersive approach to axial anomaly leads to the anomaly sum rule. The absence of corrections to it allows us to…

High Energy Physics - Phenomenology · Physics 2011-01-31 Oleg Teryaev , Yaroslav Klopot , Armen Oganesian
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