Exotic hybrid mesons in hard electroproduction

Abstract

We estimate the sizeable cross section for deep exclusive electroproduction of an exotic $J^{PC}=1^{-+}$ hybrid meson in the Bjorken regime. The production amplitude scales like the one for usual meson electroproduction, i.e. as $1/Q^2$. This is due to the non-vanishing leading twist distribution amplitude for the hybrid meson, which may be normalized thanks to its relation to the energy momentum tensor and to the QCD sum rules technique. The hard amplitude is considered up to next-to-leading order in ${\alpha }_S$ and we explore the consequences of fixing the renormalization scale ambiguity through the BLM procedure. We study the particular case where the hybrid meson decays through a $\pi \eta$ meson pair. We discuss the $\pi \eta$ generalized distribution amplitude and then calculate the production amplitude for this process. We propose a forward-backward asymmetry in the production of $\pi$ and $\eta$ mesons as a signal for the hybrid meson production. We briefly comment on hybrid electroproduction at very high energy, in the diffractive limit where a QCD Odderon exchange mechanism should dominate. The conclusion of our study is that hard electroproduction is a promissing way to study exotic hybrid mesons, in particular at JLAB, HERA (HERMES) or CERN (Compass).

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• Hybrid Mesons
• Hadron tomography by generalized distribution amplitudes in pion-pair production process ${\gamma }^{\ast }\gamma \to {\pi }^0{\pi }^0$ and gravitational form factors for pion
• Dispersion relations and subtractions in hard exclusive processes
• Operator product expansion in QCD in off-forward kinematics: Separation of kinematic and dynamical contributions
• Kinematic power corrections in off-forward hard reactions
• Towards a fitting procedure to deeply virtual meson production -- the next-to-leading order case --
• Search for isotensor exotic meson and twist 4 contribution to ${\gamma }^{\ast }\gamma \to \rho \rho$
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• On BLM scale fixing in exclusive processes
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• Duality between different mechanisms of QCD factorization in γ^*γcollisions
• Indications of the possible observation of the lowest-lying 1^{-+} QCD state
• Finite-t and target mass corrections in off-forward hard reactions
• Gravitational form factors in the perturbative limit
• $\pi \eta$ pair hard electroproduction and exotic hybrid mesons
• Hard exclusive reactions and hadron structure
• Tomography and gravitational radii for hadrons by three-dimensional structure functions
• Hadron tomography for pion and its gravitational form factors
• Generalized Distribution Amplitudes at the $Z$ pole
• Hard exclusive processes with photons