New determination of $\mathcal{S}\mathcal{T}⟨N|\overline{q}{D}_{\mu }{D}_{\nu }q|N⟩$ based on recent experimental constraints

Abstract

The symmetric and traceless part of the matrix element $\mathcal{S}\mathcal{T}⟨N|\overline{q}{D}_{\mu }{D}_{\nu }q|N⟩$ can be determined from the second moment of the twist-3 parton distribution function $e(x)$. Recently, novel experimental data on $e(x)$ have become available, which enables us to evaluate the magnitude of the above matrix element with considerably reduced systematic uncertainties. Based on the new experimental data, we show that $\mathcal{S}\mathcal{T}⟨N|\overline{q}{D}_{\mu }{D}_{\nu }q|N⟩$ is likely to be at least an order of magnitude smaller than what previous model-based estimates have so far suggested. We discuss the consequences of this observation for the analysis of deep inelastic scattering and QCD sum rules studies at finite density for the vector meson and the nucleon, in which this matrix element is being used as an input parameter.

arXiv comment22 pages, 4 figures, 4 tables; published version

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• Recent Progress in QCD Condensate Evaluations and Sum Rules
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• D meson mass increase by restoration of chiral symmetry in nuclear matter
• The $\varphi$ meson with finite momentum in a dense medium
• Phi meson spectral moments and QCD condensates in nuclear matter
• Light vector correlator in medium: Wilson coefficients up to dimension 6 operators
• Transverse structure of the proton beyond leading twist: A light-front Hamiltonian approach
• $\varphi$ meson properties in nuclear matter from QCD sum rules with chirally separated four-quark condensates
• Negative-parity nucleon excited state in nuclear matter