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.

22 pages, 4 figures, 4 tables; published version

References in corpus (5)

• Parton distributions for the LHC
• QCD sum rules for D and B mesons in nuclear matter
• Constraining the strangeness content of the nucleon by measuring the $\varphi$ meson mass shift in nuclear matter
• Transverse-momentum dependent parton distribution functions beyond leading twist in quark models
• Next-to-Leading Order perturbative QCD corrections to baryon correlators in matter