English

QCD at the amplitude level: Fock state interference in heavy quark electroproduction

High Energy Physics - Phenomenology 2023-08-21 v3

Abstract

Quantum chromodynamics (QCD) rigorously predicts the existence of both nonperturbative intrinsic and perturbative extrinsic heavy quark contents of nucleons. In this article we discuss the heavy quark electroproduction on protons induced by the Fock states uud+g|uud+g\rangle of three valence quarks in the proton and a nonperturbative gluon, and the uud+QQˉ|uud+Q\bar Q\rangle non-perturbative state of three valence quarks and a heavy quark-antiquark pair. The first one gives the perturbative contribution when the gluon produces a heavy quark pair, while the second is the intrinsic part, and they produce amplitude interference. We use nonperturbative light-front wavefunctions for these Fock states, which are computed using the color-confining light-front holographic QCD theory. Due to interference of the amplitudes corresponding to the intrinsic and extrinsic heavy quark contribution to the proton a novel QQ vs. Qˉ\bar Q asymmetry emerges in the differential cross section of the electroproduction off a proton d2σep/(dxdQ2)d^2\sigma_{e^-p}/(dx dQ^2). Our analysis proposed a novel asymmetry in QCD between intrinsic and extrinsic heavy quark content in nucleon and provides new insights into the physics of heavy quark phenomena in QCD at the amplitude level. This asymmetry is similar to the Brodsky-Gillespie asymmetry discovered before in QED case and confirmed at DESY.

Keywords

Cite

@article{arxiv.2212.04340,
  title  = {QCD at the amplitude level: Fock state interference in heavy quark electroproduction},
  author = {Valery E. Lyubovitskij and Ivan Schmidt},
  journal= {arXiv preprint arXiv:2212.04340},
  year   = {2023}
}

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10 pages