Parton distribution functions of $\Delta^+$ on the lattice

Yahui Chai; Yuan Li; Shicheng Xia; Constantia Alexandrou; Krzysztof Cichy; Martha Constantinou; Xu Feng; Kyriakos Hadjiyiannakou; Karl Jansen; Giannis Koutsou; Chuan Liu; Aurora Scapellato; Fernanda Steffens

Parton distribution functions of $\Delta^+$ on the lattice

High Energy Physics - Lattice 2019-07-24 v1

Authors: Yahui Chai , Yuan Li , Shicheng Xia , Constantia Alexandrou , Krzysztof Cichy , Martha Constantinou , Xu Feng , Kyriakos Hadjiyiannakou , Karl Jansen , Giannis Koutsou , Chuan Liu , Aurora Scapellato , Fernanda Steffens

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Abstract

We present results for renormalized matrix elements related to the unpolarized quasi-distribution function of the $\Delta^+$ baryon making use of the large momentum effective theory. Two ensembles of $N_f=2+1+1$ twisted mass fermions with a clover term and pion masses of 250 MeV and 330 MeV are analyzed. We employ momentum smearing to improve the overlap with the boosted $\Delta$ state significantly reducing in this way the statistical error of both two- and three-point functions.

Keywords

parton distribution functions delta baryon lattice qcd quasi-distribution large momentum effective theory twisted mass fermions

Cite

@article{arxiv.1907.09827,
  title  = {Parton distribution functions of $\Delta^+$ on the lattice},
  author = {Yahui Chai and Yuan Li and Shicheng Xia and Constantia Alexandrou and Krzysztof Cichy and Martha Constantinou and Xu Feng and Kyriakos Hadjiyiannakou and Karl Jansen and Giannis Koutsou and Chuan Liu and Aurora Scapellato and Fernanda Steffens},
  journal= {arXiv preprint arXiv:1907.09827},
  year   = {2019}
}

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7 pages, 4 figures, conference

Parton distribution functions of $\Delta^+$ on the lattice

Abstract

Keywords

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