Revisiting neutrino masses in clockwork models

Abstract In this paper, we have studied a mechanism that naturally produces hierarchical masses using fine cancellation rather than widely used suppression mechanisms as in seesaw, clockwork or randomness-assisted localization models. We have also looked at various variants of the clockwork model and provided analytical expressions for their 0 modes. Few generalizations of clockwork models such as generalized CW and next to nearest neighbour interaction CW have already been explored by a few authors. All the variants of CW models have the same underlying principle i.e., suppression. In this study, it was found that non-local CW models relaxes the $$\left| q \right| &gt; 1$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mfenced> <mml:mi>q</mml:mi> </mml:mfenced> <mml:mo>&gt;</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:math> constraint of ordinary CW models to produce localization. We also made a comparison among them and have shown that in some scenarios variants of CW are more efficient than ordinary CW. Additionally, the fine-cancellation (precision-prune) mechanism is depicted within the framework of the extra dimension picture. Finally, some phenomenological signatures of all these models are also discussed along with their benchmark points.