Speaker
Description
Motivated by the Kharzeev-Levin entropy formula which postulates a maximally entangled proton wave function in Deep Inelastic Scattering at low x, we investigate the proposed relation between parton number and final state hadron multiplicity. Contrary to the original formulation we propose to determine partonic entropy from the sum of gluon and quark distribution functions at low x, which we obtain from an unintegrated gluon distribution subject to next-to-leading Balitsky-Fadin-Kuraev-Lipatov evolution. We find that our framework provides a very good description of recently measured H1 data on the final state hadron multiplicity, which provides experimental evidence for the proposed entropy formula. We furthermore provide a comparison based on CTEQ next-to-leading order parton distribution functions, which slightly overshoots the data, but provide in general an acceptable description.