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Related papers: $\eta-\eta^{\prime}$ mixing

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In this paper, we take into account the intrinsic charm and gluonic contents into the $\eta-\eta^\prime$ mixing scheme and formulate the tetramixing $\eta-\eta^\prime-G-\eta_c$ to study the mixing properties of $\eta^{(\prime)}$ mesons.…

High Energy Physics - Phenomenology · Physics 2025-10-07 Yu-Jie Zhang , Xing-Gang Wu , Dan-Dan Hu , Long Zeng

The rare decays $\eta^{(\prime)}\to\ell^+\ell^-$, $\ell\in\{e,\mu\}$, are highly suppressed in the Standard Model, both by their chirality structure and the required loop attaching the lepton line to the $\eta^{(\prime)}\to\gamma^*\gamma^*$…

High Energy Physics - Phenomenology · Physics 2026-04-13 Noah Messerli , Martin Hoferichter , Bai-Long Hoid , Simon Holz , Bastian Kubis

We present results for the $\eta$ and $\eta^\prime$ masses and their four independent decay constants at the physical point as well as their anomalous gluonic matrix elements $a_{\eta^{(\prime)}}$. The chiral and continuum limit…

High Energy Physics - Lattice · Physics 2021-11-11 Gunnar S. Bali , Sara Collins , Jakob Simeth

The nonet symmetry scheme seems to describe rather well the masses and $\eta-\eta^{\prime}$ mixing angle of the ground state pseudo-scalar mesons and is thus expected to be also a good approximation for the matrix elements of the…

High Energy Physics - Phenomenology · Physics 2009-04-30 T. N. Pham

Within the framework of the $U(3)$ chiral perturbation theory, we revisit the masses, decay constants and the mixing parameters of the light pseudoscalar mesons $\pi, K, \eta$ and $\eta'$. The low energy constants up to…

High Energy Physics - Phenomenology · Physics 2018-11-15 Xiao-Wei Gu , Chun-Gui Duan , Zhi-Hui Guo

Decays of both $\eta$ and $\eta^\prime$ provide very useful information in our understanding of low-energy QCD, and experimental signatures for these decays would be extremely helpful at BES-III. The rare decays of the $\eta$ and…

High Energy Physics - Experiment · Physics 2009-07-22 Hai-Bo Li

The mixing of $\eta-\eta'$ or $\eta-\eta'-G$ is of a great theoretical interest, because it concerns many aspects of the underlying dynamics and hadronic structure of pseudoscalar mesons and glueball. Determining the mixing parameters by…

High Energy Physics - Phenomenology · Physics 2011-02-09 Hong-Wei Ke , Xue-Qian Li , Zheng-Tao Wei

We study $B\to J/\Psi \eta^{(\prime)}$ decays and suggest two methods to determine the $\eta-\eta^{\prime}$ mixing angle. We calculate not only the factorizable contribution in QCD facorization scheme but also the nonfactorizable hard…

High Energy Physics - Phenomenology · Physics 2016-09-08 Jing-Wu Li , Dong-Sheng Du

An analysis of various radiative $VP\gamma$ decays is performed using the two mixing angle description of the $\eta$-$\eta^\prime$ system. The agreement is excellent. Our results are expressed both in the ``octet-singlet'' and in the…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Escribano

We propose a new eta-eta' mixing scheme where we start from the quark flavor basis and assume that the decay constants in that basis follow the pattern of particle state mixing. On exploiting the divergences of the axial vector currents -…

High Energy Physics - Phenomenology · Physics 2016-08-25 T. Feldmann , P. Kroll , B. Stech

Transition form factors of pi^0, eta, eta' mesons are investigated by means of the anomaly sum rule -- an exact nonperturbative relation which follows from the dispersive representation of the axial anomaly. Considering the problem of…

High Energy Physics - Phenomenology · Physics 2013-09-03 Yaroslav Klopot , Armen Oganesian , Oleg Teryaev

Involving of elastic rescattering and annihilation of quark-antiquark pairs in a final state allows us to explain a dependence of ratio for cross sections of $\eta'$ and $\eta$ mesons versus transfer momentum in charge exchange reactions.…

High Energy Physics - Phenomenology · Physics 2019-11-28 J. V. Balitsky , V. V. Kiselev , A. K. Likhoded , V. D. Samoylenko

The decays eta, eta-prime -> pi^+ pi^- gamma are investigated within an approach that combines one-loop chiral perturbation theory with a coupled channel Bethe-Salpeter equation which satisfies unitarity constraints and generates vector…

High Energy Physics - Phenomenology · Physics 2009-11-10 B. Borasoy , R. Nissler

We include the $\eta_c$ meson into the $\eta$-$\eta'$-$G$ mixing formalism constructed in our previous work, where $G$ represents the pseudoscalar gluball. The mixing angles in this tetramixing matrix are constrained by theoretical and…

High Energy Physics - Phenomenology · Physics 2012-02-07 Yu-Dai Tsai , Hsiang-nan Li , Qiang Zhao

We determine the $\eta-\eta'$ mixing angle via a procedure relatively independent of theoretical assumptions by simultaneously fitting $\eta- eta'$ reactions involving the anomaly--$\eta,\eta'\to\gamma\gamma, \pi^+\pi^-\gamma$. We extract…

High Energy Physics - Phenomenology · Physics 2009-10-30 E. P. Venugopal , Barry R. Holstein

We obtain explicit expressions for the \eta and \eta' masses and decay constants using U_L(3) x U_R(3) chiral perturbation theory at next-to-leading order in a combined expansion in p^2 and 1/Nc. A numerical fit of the parameters appearing…

High Energy Physics - Phenomenology · Physics 2009-10-30 P. Herrera-Siklódy , J. I. Latorre , P. Pascual , J. Taron

In this paper, we make a detailed discussion on the $\eta$ and $\eta'$-meson leading-twist light-cone distribution amplitude $\phi_{2;\eta^{(\prime)}}(u,\mu)$ by using QCD sum rules approach under the background field theory. Taking both…

High Energy Physics - Phenomenology · Physics 2022-01-11 Dan-Dan Hu , Hai-Bing Fu , Tao Zhong , Long Zeng , Wei Cheng , Xing-Gang Wu

The composition of the eta and eta' mesons has long been a source of discussion and is of current interest with new experimental results appearing. We investigate what can be learnt from a number of different processes: V to P gamma and P…

High Energy Physics - Phenomenology · Physics 2009-04-22 C. E. Thomas

A value for the $\eta$-$\eta^\prime$ mixing angle is extracted from the data on $VP\gamma$ transitions using simple quark-model ideas. The set of data covers {\it all} possible radiative transitions between the pseudoscalar and vector meson…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Bramon , R. Escribano , M. D. Scadron

A class of amplitude relations for decays of $B$ mesons is discussed. Processes involving $\eta$ and $\eta'$ in the final state are shown to provide useful information about weak phases in some cases even in the presence of octet-singlet…

High Energy Physics - Phenomenology · Physics 2011-07-19 Amol S. Dighe , Michael Gronau , Jonathan L. Rosner