eta - eta prime Mixing -From electromagnetic transitions to weak decays of charm and beauty hadrons

Abstract

It has been realized for a long time that knowing the eta and eta^prime wave functions in terms of quark and gluon components probes our understanding of non-perturbative QCD dynamics. Great effort has been given to this challenge -- yet no clear picture has emerged even with the most recent KLOE data. We point out which measurements would be most helpful in arriving at a more definite conclusion. A better knowledge of these wave functions will significantly help to disentangle the weight of different decay subprocesses in semi-leptonic decays of D+, Ds^+ and B+ mesons. The resulting insights will be instrumental in treating even non-leptonic B transitions involving eta and eta^prime and their CP asymmetries; thus they can sharpen the case for or against New Physics intervening there.

22 pages, 4 figures; it matches published version

References in corpus (18)

• Isoscalar meson spectroscopy from lattice QCD
• Measurement of the pseudoscalar mixing angle and ${\eta }^{\prime }$ gluonium content with KLOE detector
• Observation of Time-Dependent CP Violation in B0 -> eta' K0 Decays and Improved Measurements of CP Asymmetries in B0 -> phiK0, KsKsKs and B0 -> J/psi K0 Decays
• The $\eta$ and ${\eta }^{\prime }$ mesons from Lattice QCD
• A global fit to determine the pseudoscalar mixing angle and the gluonium content of the eta' meson
• Composition of the Pseudoscalar Eta and Eta' Mesons
• Gluonic contribution to $B\to {\eta }^{(\prime )}$ form factors
• Decays of $J/\psi$ and ${\psi }^{\prime }$ into vector and pseudoscalar meson and the pseudoscalar glueball-$q\bar{q}$ mixing
• Study of the process e+e- -> omega pi0 in the phi-meson mass region with the KLOE detector
• Exploring CP Violation and $\eta$-${\eta }^{\prime }$ Mixing with the $B_{s,d}^0\to J/\psi {\eta }^{(\prime )}$ Systems
• Measurement of the Matrix Element for the Decay ${\eta }^{\prime }\to \eta {\pi }^{+}{\pi }^{-}$
• Study of the $e^{+}{e}^{-}\to \eta \gamma$ process with SND detector at the VEPP-2M $e^{+}{e}^{-}$ collider
• Reanalysis of the $e^{+}{e}^{-}\to \eta \gamma$ reaction cross section
• Ratios of heavy hadron semileptonic decay rates
• Rare $B_s$ decays to $\eta$ and ${\eta }^{\prime }$ final states
• Determination of the total width of the eta' meson
• Suppression of flavor symmetry breaking in B decay sum rules
• $\gamma \gamma$ physics with the KLOE experiment

Cited by in corpus (64)

• QCD and strongly coupled gauge theories: challenges and perspectives
• The Status of Glueballs
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• Branching fraction and form-factor shape measurements of exclusive charmless semileptonic B decays, and determination of |V_{ub}|
• Decay of the pseudoscalar glueball into scalar and pseudoscalar mesons
• Etaprime and Eta Mesons with Connection to Anomalous Glue
• ηand η' transition form factors from rational approximants
• Anatomy of $B_{s,d}^0\to J/\psi f_0(980)$
• Effective Lifetimes of $B_s$ Decays and their Constraints on the $B_s^0$-${\bar{B}}_s^0$ Mixing Parameters
• Transition form factors ${\gamma }^{\ast }\gamma \to \eta$ and ${\gamma }^{\ast }\gamma \to {\eta }^{\prime }$ in QCD
• Semileptonic $D_{(s)}$-meson decays in the light of recent data
• On $SU(3{)}_F$ Breaking through Final State Interactions and CP Asymmetries in $D\to PP$ Decays
• Central exclusive production within the Durham model: a review
• Form factors of B, Bs -> eta, eta' and D, Ds -> eta, eta' transitions from QCD light-cone sum rules
• Exclusive central diffractive production of scalar and pseudoscalar mesons; tensorial vs. vectorial pomeron
• A study of the eta and eta' mesons with improved staggered fermions
• $D_s\to \eta ,{\eta }^{\prime }$ semileptonic decay form factors with disconnected quark loop contributions
• Exploring CP Violation and $\eta$-${\eta }^{\prime }$ Mixing with the $B_{s,d}^0\to J/\psi {\eta }^{(\prime )}$ Systems
• Light-Cone Sum Rules for the $D_{(s)}\to {\eta }^{(\prime )}l{\nu }_l$ Form Factor
• η and η' mesons from Nf=2+1+1 twisted mass lattice QCD
• Measurement of the Dynamics of the Decays $D_s^{+}\to {\eta }^{(\prime )}{e}^{+}{\nu }_e$
• The eta (eta') gamma transition form factor and the gluon-gluon distribution amplitude
• Implications on $\eta$-${\eta }^{\prime }$-glueball mixing from $B_{d/s}\to J/\Psi {\eta }^{{(}^{\prime })}$ Decays
• Central exclusive production as a probe of the gluonic component of the eta' and eta mesons
• Study of $\eta -{\eta }^{\prime }$ mixing from measurement of $B_{(s)}^0\to J/\psi {\eta }^{(\prime )}$~decay rates
• ${\eta }_c$ mixing effects on charmonium and $B$ meson decays
• ${\pi }^0$-$\eta$-${\eta }^{\prime }$ mixing from $V\to P\gamma$ and $P\to V\gamma$ decays
• First Observation of $D^{+}\to \eta {\mu }^{+}{\nu }_{\mu }$ and Measurement of its Decay Dynamics
• Determination of the $\eta$-${\eta }^{\prime }$ mixing angle
• Measurements of the branching fractions for the semi-leptonic decays $D_s^{+}\to \varphi e^{+}{\nu }_e$, $\varphi {\mu }^{+}{\nu }_{\mu }$, $\eta {\mu }^{+}{\nu }_{\mu }$ and ${\eta }^{\prime }{\mu }^{+}{\nu }_{\mu }$
• Semileptonic and leptonic $B$ decays, circa 2016
• Measurements of the absolute branching fractions for $D_s^{+}\to \eta e^{+}{\nu }_e$ and $D_s^{+}\to {\eta }^{\prime }{e}^{+}{\nu }_e$
• Decays $B_s\to J/\psi +\eta$ and $B_s\to J/\psi +{\eta }^{\prime }$ in the framework of covariant quark model
• Precision Measurements of $D_s^{+}\to \eta e^{+}{\nu }_e$ and $D_s^{+}\to {\eta }^{\prime }{e}^{+}{\nu }_e$
• Understanding the cross section of $e^{+}{e}^{-}\to \eta J/\psi$ process via nonrelativistic QCD
• Determination of the CKM matrix elements |V(xb)|
• "Could Charm (\& $\tau$) Transitions be the `Poor Princesses' of Deeper Understanding of Fundamental Dynamics?" -- or -- "Finding Novel Forces?"
• Brief review on semileptonic B decays
• Strong $D_s^{\ast }{D}_s{\eta }^{(\prime )}$ and $B_s^{\ast }{B}_s{\eta }^{(\prime )}$ vertices from QCD light-cone sum rules
• Progress on semi-leptonic $B_{(s)}$ decays
• Semileptonic D decays and eta-eta^prime mixing
• Study of $B\to \pi \ell {\nu }_{\ell }$ and $B^{+}\to {\eta }^{(\prime )}{\ell }^{+}{\nu }_{\ell }$ decays and determination of $|V_{ub}|$
• Measurement of the $\eta$ -${\eta }^{\prime }$ mixing angle in ${\pi }^{-}$ and $K^{-}$ beams with GAMS-$4\pi$ Setup
• Interaction of the pseudoscalar glueball with (pseudo)scalar mesons and nucleons
• Status of $|V_{cb}|$ and $|V_{ub}|$ CKM matrix elements
• Low energy reaction $K^{-}p\to \Lambda \eta$ and the negative parity $\Lambda$ resonances
• Probing the perturbative dynamics of exclusive meson pair production
• Observation of $D^{+}\to {\eta }^{\prime }{\mu }^{+}{\nu }_{\mu }$ and First Study of $D^{+}\to {\eta }^{\prime }{\ell }^{+}{\nu }_{\ell }$ Decay Dynamics
• Phenomenology of a pseudoscalar glueball and charmed mesons
• ${\chi }_c$ decays and the gluon content of the ${\eta }^{\prime }$, $\eta$ mesons
• Charge-exchange reactions from the standpoint of the parton model
• The physics of the $\eta$--${\eta }^{\prime }$ system versus $B^0\to J/\Psi \eta ({\eta }^{\prime })$ and $B_s\to J/\Psi \eta ({\eta }^{\prime })$ decays
• Observation of the $B^{+}\to J/\psi {\eta }^{\prime }{K}^{+}$ decay
• Testing the light scalar meson as a non-$q\bar{q}$ state in semileptonic $D$ decays
• An exploration of $B_s\to J/\psi s\bar{s}$
• Mixing effects of $\eta -{\eta }^{\prime }$ in ${\Lambda }_b\to \Lambda {\eta }^{{(}^{\prime })}$ decays
• Charmless hadronic $B\to (f_1(1285),f_1(1420))P$ decays in the perturbative QCD approach
• Improved measurement of $\eta /{\eta }^{\prime }$ mixing in $B_{(s)}^0\to J/\psi {\eta }^{(\prime )}$ decays
• Mixing of $\eta -{\eta }^{\prime }$ in charge-exchange reactions and decays of mesons with heavy quarks
• Model Dependent Analysis of D_((s))^+ arrows η^((')) l^+ ν_l Decays in Beyond Standard Model
• Is There a Real Difference between $|V_{qb}{|}_{\mathrm{excl}}$ vs. $|V_{qb}{|}_{\mathrm{incl}}$ from Semi-leptonic $B$ Decays?
• Exclusive semileptonic $B$ decays to the ground and excited states of light mesons
• Lattice calculations of Ds to eta and eta' decay form factors
• Probing $D_s^{+}\to {\eta }^{(\prime )}{\ell }^{+}{\nu }_{\ell }$ semileptonic decay within LCSR under chiral heavy quark effective field theory