# Deep inelastic scattering from string/gauge duality with soft IR cutoff and exponentially small Bjorken parameter

## TL;DR

This paper employs the Softwall Model in string/gauge duality to compute deep inelastic scattering structure functions at very small Bjorken x, demonstrating consistency with other approaches in a high virtuality regime.

## Contribution

It introduces a 10-dimensional Softwall Model calculation of DIS structure functions at exponentially small x, extending holographic methods to this kinematic regime.

## Key findings

- Results align with other holographic and non-holographic approaches.
- Provides structure functions for high virtuality and small x in DIS.
- Validates the Softwall Model's applicability to small-x physics.

## Abstract

In this work we use the string/gauge duality within the Softwall Model (SW). In this model a dilaton field is introduced in the action for the fields playing the role of a soft infrared (IR) cutoff. The SW model is very useful as it provides linear Regge trajectories for mesons. Here, using a $10-$dimensional SW model, we calculate the corresponding structure functions for deep inelastic scattering (DIS) in which electrons are scattered off hadrons in a kinematical regime where the hadrons are broken apart, with high virtuality $q$, in the exponentially small $x$ (Bjorken parameter) regime. Our results for this regime are consistent with those achieved using other holographic and non-holographic approaches.