Neutrino-production of single pions: dipole description

Abstract

The light-cone distribution amplitudes for the axial current are derived within the instanton vacuum model (IVM), which incorporates nonperturbative effects including spontaneous chiral symmetry breaking. This allows to extend applicability of the dipole approach, usually used in the perturbative domain, down to $Q^2\to 0$, where partially conserved axial current (PCAC) imposes a relation between the neutrino-production cross section and the one induced by pions. A dramatic breakdown of the Adler relation (AR) for diffractive neutrino-production of pions, caused by absorptive corrections, was revealed recently in arXiv:1105.1711. Indeed, comparing with the cross section predicted by the dipole phenomenology at $Q^2\to 0$ on a proton target we confirmed the sizable deviation from the value given by the AR, as was estimated in arXiv:1105.1711 within a simplified two-channel model. The dipole approach also confirms that in the black-disc limit, where the absorptive corrections maximize, the diffractive cross section ceases, on the contrary to the expectation based on PCAC.

17 pages, 9 figures

References in corpus (19)

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• Azimuthal Asymmetry of pions in pp and pA collisions
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• DDVCS on nucleons and nuclei
• Charm of small $x$ neutrino DIS
• Real Compton Scattering via Color Dipoles
• Shadowing in Compton scattering on nuclei
• High energy electroweak DVCS processes in neutrino-nucleon scattering
• Neutral current neutrino-nucleus interactions at high energies

Cited by in corpus (4)

• Single transverse spin asymmetry of forward neutrons
• Nonperturbative features of the axial current
• Diffractive neutrino-production of pions on nuclei: Adler relation within the color-dipole description
• Neutrino-induced coherent ${\pi }^{+}$ production in C, CH, Fe and Pb at $⟨E_{\nu }⟩\sim 6$ GeV