In this paper, we investigate the gravitational lensing properties of magnetically charged black holes within the framework of nonlinear electrodynamics. We derive the deflection angle and examine the influence of the nonlinear electrodynamics parameter $$\xi $$ on light bending. We initially employ a geometric approach based on the Gauss–Bonnet theorem to analyze the gravitational deflection of null and timelike particles. This method encapsulates the global characteristics of the lensing effect in an elegant manner. In the subsequent part of the work, we explore the impact of nonlinear electromagnetic corrections on the black hole shadow. Using numerical techniques, we study the behavior of the photon sphere and demonstrate that a reduction in the photon sphere radius leads to a correspondingly smaller shadow. We compare these results with those for the Schwarzschild and Reissner–Nordström black holes, highlighting the distinctive features introduced by nonlinear electrodynamics. Furthermore, we examine the strong deflection limit for light trajectories near these black holes, focusing on the roles of both the magnetic charge $$Q$$ and the nonlinear parameter $$\xi $$ . Our analysis reveals that the combined effects of $$Q$$ and $$\xi $$ enhance the strong deflection angle, resulting in a more pronounced lensing effect than that predicted by the classical Reissner–Nordström solution. These findings suggest that the nonlinear interactions may provide a potential observational signature for identifying NED black holes.

Pakistan

Italy

Hira Waseem

Philippines

Nikko Lobos

Türkiye

Ali Övgün

Reggie Pantig

Analyzing deflection angles and photon sphere dynamics of magnetically charged black holes in nonlinear electrodynamic

Abstract The decays governed by the flavor-changing-neutral-current (FCNC) transitions, such as , provide an important tool to test the physics in and beyond the Standard Model (SM). This work focuses on investigating the FCNC process . Being an exclusive process, the initial and final state meson matrix elements involve the form factors, which are nonperturbative quantities and need to be calculated using specific models. By using the form factors calculated in the covariant light-front quark model, we analyze the branching fractions and angular observables such as the forward-backward asymmetry , polarization fractions (longitudinal and transverse) , CP asymmetry coefficients , and CP-averaged angular coefficients , both in the SM and in some new physics (NP) scenarios. Some of these physical observables are a potential source of finding the physics beyond the SM and help us to distinguish various NP scenarios.

Abdul Hafeez

Imprinting New Physics by Using Angular Profiles of the Flavor-Changing-Neutral-Current Process → (→ Π) "Lepton Flavour Universality tests and Lepton Flavour Violation searches at LHCb,'' “Genuine lepton-flavor-universality-violatingobservables in the τ − μ sector of B → (K,K∗)ℓ+ℓ− decays,” “Bottoms Up: Standard Model Effective Field Theory from a Model Perspective,” “Spectroscopic survey of higherlyingstates of Bc meson family,”