Quasinormal modes of a d-dimensional regular black hole featuring an integrable singularity

In this paper, we exhaustively investigate the quasinormal modes (QNMs) of a probe scalar field over a d-dimensional regular black hole (BH) characterized by the parameter A. The quasinormal frequencies (QNFs) exhibit different behaviors with respect to the parameter A for \(d=4\) and \(d>4\). Firstly, the trends of QNFs with respect to A exhibit completely opposite patterns for the case of \(d=4\) and \(d>4\). Secondly, in the four-dimensional regular BH, a non-monotonic behavior with respect to A is observed in the imaginary part of the fundamental modes with vanishing angular quantum number. In contrast, for nonzero angular quantum number or \(d>4\), non-monotonic behavior is observed only in the overtones. Thirdly, an overtone outburst accompanied by an oscillatory patter is observed only in the case of \(d>4\), but not in \(d=4\).