4D T'- Expansion Scheme (4D-TExS)
=================================

The **4D-TExS** (Four-Dimensional T′ Expansion Scheme) module of the NSF-funded [**MUSES**](https://musesframework.io/) project provides a four-dimensional 
equation of state (EoS) for strongly interacting nuclear matter at finite temperature :math:`T`, and finite baryon number, electric charge, and 
strangeness chemical potentials: :math:`\mu_B`, :math:`\mu_Q`, and :math:`\mu_S`, respectively. 

This module is based on the T′ Expansion Scheme, which is a resummation of the Taylor expansion of lattice QCD results, extending to higher values of 
chemical potential than the Taylor expansion available in the `BQS module <https://ce.musesframework.io/docs/modules/eos_taylor_4d/Index.html>`__ of MUSES.
It also relies on a new set of continuum estimated `set of second- and fourth-order susceptibilities <https://zenodo.org/records/15123622>`__ from lattice QCD 
calculations at zero chemical potentials.

It can be used to compute a nuclear equation of state for a temperature range of :math:`30 < T < 500` MeV, 
and for chemical potential magnitudes up to approximately :math:`\mu \sim 700` MeV depending on the direction in the :math:`(\mu_B, \mu_Q, \mu_S)` space 
(with :math:`\mu^2 = \mu_B^2 + \mu_Q^2 + \mu_S^2`).  

| **When using results from this module for scientific publication, please cite:**  
| A. Abuali, S. Borsanyi, Z. Fodor, J. Jahan, et. al. , `arXiv:2504.01881 <https://arxiv.org/abs/2504.01881>`__ [hep-lat]

============================

| **Original source code was developed by:** Johannes Jahan\ :math:`^{(1)}`,
 Paolo Parotto\ :math:`^{(2)}` &
 Hitansh Shah\ :math:`^{(1)}`.
| **Module development, code adaptation and documentation:** Johannes Jahan\ :math:`^{(1)}` 
 & Hitansh Shah\ :math:`^{(1)}`.

| :math:`^{(1)}` *Department of Physics, University of Houston, Houston, TX 77204, USA.* 
| :math:`^{(2)}` *Dipartimento di Fisica, Università di Torino and INFN Torino, Via P. Giuria 1, I-10125 Torino, Italy.*

============================

.. toctree::
   :maxdepth: 1
   :caption: Contents
   :glob:

   _contents/physics.rst
   _contents/stability.rst
   _contents/quickstart.rst
   _contents/units.rst
   _contents/parameters.rst
   _contents/code_structure.rst
   _contents/troubleshooting.rst