Understanding the screening mass of pseudoscalar mesons at finite temperature and magnetic field
is crucial for comprehending the behavior of strongly interacting matter under extreme conditions,
such as those found in the early universe or inside neutron stars. Additionally, in heavy ion collisions,
strong magnetic fields are generated, which could significantly influence the properties of the quark-gluon plasma. The study of these screening masses provides insight into the modifications of mesonic
properties in such environments, which is essential for the theoretical understanding of Quantum
Chromodynamics (QCD) phase transitions and the properties of the quark-gluon plasma.
Here, we present continuum estimated lattice QCD results on the screening mass of neutral pseudoscalar
mesons at finite temperatures and nonzero magnetic fields. The simulations used (2+1)-flavor lattice
QCD simulations using physical quark masses employing the HISQ/tree action. The continuum
estimation was carried out using lattices having temporal extents Nτ = 8, 12, and 16, all having aspect
ratio Nσ/Nτ = 4. The investigated temperature ranges from 145 MeV to 166 MeV, while
the magnetic field strength varies from 0 to 1 GeV2. We discuss the dependence of the screening masses of
various neutral pseudoscalar mesons on temperature, magnetic field strength, and quark mass.
