Comments on Exploring Quantum Statistics for Dirac and Majorana Neutrinos using Spinor-Helicity technique (arXiv:2507.07180 [hep-ph])

TL;DR

This paper comments on a critique of their previous work, emphasizing that their original approach to distinguishing neutrino types via quantum statistics is physically justified and that the critique's symmetrization method is incorrect.

Contribution

The authors clarify that their original method for exploring neutrino statistics is physically valid and criticize the critique's ad-hoc symmetrization approach.

Findings

Their symmetrization approach has no physical basis.

Ad-hoc symmetrization leads to lepton number violation.

Their original idea remains physically consistent.

Abstract

We give our comments on Ref. [1](arXiv:2507.07180) which critiques our idea of exploring quantum statistics to distinguish between Dirac and Majorana neutrinos proposed in some of our earlier works [2-4]. The ad-hoc symmetrization of the Dirac case amplitude square advocated in Eqs. (16) and (35) of [1] has no physical basis and it leads to violation of lepton number in the the standard model for Dirac neutrinos. Therefore, this symmetrization by hand is in principle incorrect.