High Energy Physics - Phenomenology
[Submitted on 14 Jun 2016 (v1), last revised 1 Aug 2017 (this version, v4)]
Title:An electroweak basis for neutrinoless double $β$ decay
View PDFAbstract:A discovery of neutrinoless double-$\beta$ decay would be profound, providing the first direct experimental evidence of $\Delta L=2$ lepton number violating processes. While a natural explanation is provided by an effective Majorana neutrino mass, other new physics interpretations should be carefully evaluated. At low--energies such new physics could manifest itself in the form of color and $SU(2)_L \times U(1)_{Y}$ invariant higher dimension operators. Here we determine a complete set of electroweak invariant dimension--9 operators, and our analysis supersedes those that only impose $U(1)_{em}$ invariance. Imposing electroweak invariance implies: 1) a significantly reduced set of leading order operators compared to only imposing $U(1)_{em}$ invariance; and 2) other collider signatures. Prior to imposing electroweak invariance we find a minimal basis of 24 dimension-9 operators, which is reduced to 11 electroweak invariant operators at leading order in the expansion in the Higgs vacuum expectation value. We set up a systematic analysis of the hadronic realization of the 4-quark operators using chiral perturbation theory, and apply it to determine which of these operators have long-distance pion enhancements at leading order in the chiral expansion. We also find at dimension--11 and dimension--13 the electroweak invariant operators that after electroweak symmetry breaking produce the remaining $\Delta L=2$ operators that would appear at dimension--9 if only $U(1)_{em}$ is imposed.
Submission history
From: Michael Graesser [view email][v1] Tue, 14 Jun 2016 20:17:52 UTC (41 KB)
[v2] Fri, 13 Jan 2017 21:18:49 UTC (42 KB)
[v3] Sat, 27 May 2017 05:40:56 UTC (45 KB)
[v4] Tue, 1 Aug 2017 19:24:15 UTC (45 KB)
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