I Neutrinoless double beta decay derivation

[Malamala]

Hello! Can someone point me towards a derivation (whether with Fermi Golden rule, or full QFT calculations) of the decay rate for the neutrinoless double beta decay:

$$\Gamma_{\beta\beta}^{0\nu} = G^{0\nu}|M^{0\nu}|^2<m_{\beta\beta}>^2$$

Thank you!

 

[ohwilleke]

There is a short review article at the Particle Data Group. And there is a fairly well written Wikipedia article on the topic, together with the references that it cites, which is probably the best place to start.

Most of the details are spelled out in a summary manner as background in this March 11, 2021 preprint at pages 2-6. And, two references in that paper provide a more in depth analysis (with the arXiv open access preprint number in square brackets at the end of each citation):

* F. F. Deppisch, M. Hirsch and H. Pas, Neutrinoless Double Beta Decay and Physics Beyond the Standard Model, J. Phys. G 39 (2012) 124007, [1208.0727], and

* M. J. Dolinski, A. W. P. Poon and W. Rodejohann, Neutrinoless Double-Beta Decay: Status and Prospects, Ann. Rev. Nucl. Part. Sci. 69 (2019) 219–251, [1902.04097].

[Mentors' note: A digression sparked by the wikipedia reference has been moved to a thread in General Discussion]