Thermodynamics of strongly magnetized dense quark matter from hard dense loop perturbation theory

We discuss the hard dense loop perturbation theory approach for studying the thermodynamics of strongly magnetized dense quark matter. The free energy of quarks and gluons have been calculated for one-loop quark and gluon self-energies, respectively. The longitudinal and transverse components of pressure, magnetization, second-order quark number susceptibility, and speed of sound have been computed, and their behavior with chemical potential and magnetic field has been analyzed. Our numerical results show that the longitudinal pressure increases with chemical potential and magnetic field, while for the transverse component, it is diminished. We also analyze the longitudinal component of the speed of sound at high chemical potentials, which approaches the speed of light in the asymptotic limit. The obtained results may be helpful in studying magnetized quark matter in the core of neutron stars and magnetars.