Neutrinoless double beta decay derivation

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SUMMARY

The discussion focuses on the derivation of the decay rate for neutrinoless double beta decay, represented by the equation $$\Gamma_{\beta\beta}^{0\nu} = G^{0\nu}|M^{0\nu}|^2^2$$. Key resources include a review article from the Particle Data Group and a comprehensive Wikipedia article. Additionally, a preprint from March 11, 2021, provides background information and references two significant papers: Deppisch et al. (2012) and Dolinski et al. (2019), which offer deeper insights into the topic.

PREREQUISITES
  • Understanding of Fermi Golden Rule
  • Familiarity with Quantum Field Theory (QFT)
  • Knowledge of particle physics concepts related to double beta decay
  • Basic grasp of the Standard Model of particle physics
NEXT STEPS
  • Read the Particle Data Group review article on neutrinoless double beta decay
  • Study the Wikipedia article and its cited references for foundational knowledge
  • Examine the March 11, 2021 preprint for detailed background information
  • Analyze the papers by Deppisch et al. (2012) and Dolinski et al. (2019) for advanced insights
USEFUL FOR

Researchers in particle physics, graduate students studying neutrino physics, and physicists interested in the implications of neutrinoless double beta decay on the Standard Model.

Malamala
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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!
 
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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]
 
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