Abstract
In this work we study unpolarized spin $1/2$ baryonic deep inelastic scattering (DIS) in the regime of large Bjorken parameter $x$. We calculate the corresponding structure functions $F_{1,2}(x,q^2)$. Our approach is based on an AdS/QCD model with a deformed background, where we consider an exponential factor in the AdS$_5$ metric. Such a deformation implies the introduction of an anomalous dimension in the model. Our results for the structure functions are consistent with those found in the literature from experimental data.
Highlights
Since the beginning of the study of elementary particle under high energy processes the usage of the deep inelastic scattering (DIS) became one of the most iconic experiments in this field, allowing us to probe the proton and neutron internal structures
An alternative way to deal with this problem is based on the anti–de Sitter/conformal field theory (AdS=CFT) correspondence which relates a conformal N 1⁄4 4 super YangMills theory (SYM) with symmetry group SUðNÞ, for N → ∞, living in 3 þ 1 dimensional Minkowski spacetime to a superstring theory in a 10-dimensional curved spacetime
BRIEF REVIEW OF DIS Scattering processes play an essential role in particle physics since they allow us to explore most of the hadronic properties
Summary
Since the beginning of the study of elementary particle under high energy processes the usage of the deep inelastic scattering (DIS) became one of the most iconic experiments in this field, allowing us to probe the proton and neutron internal structures. After breaking conformal invariance one has a phenomenological holographic approach known as AdS/QCD In this context many important works dealt with DIS providing interest results as can be seen for instance in Refs. In this work we will use a holographic model to compute the baryonic DIS structure functions, F1 1⁄4 F1ðx; q2Þ and F2 1⁄4 F2ðx; q2Þ for the proton, which are dependent on the photon virtuality q2, and the Bjorken parameter x. To perform our computation we will use an AdS/QCD model with a deformed AdS5 background This deformation of the AdS5 space breaks the conformal invariance and generates a mass scale for the fermionic fields. Such a deformation was considered before in a wide range of AdS/ QCD studies, as can be seen in Refs.
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