dorsal/arxiv
View SchemaPionic Matrix Elements in Neutrinoless Double-Beta Decay
| Authors | Martin J. Savage |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9811087 |
| URL | https://arxiv.org/abs/nucl-th/9811087 |
| DOI | 10.1103/PhysRevC.59.2293 |
| Journal | Phys.Rev. C59 (1999) 2293-2296 |
Abstract
Physics beyond the standard model of electroweak interactions that violates lepton number will, in general, induce operators involving the quark and lepton fields that violate lepton number. I point out that some matrix elements of particular operators are known. In the limit of exact SU(3) flavor symmetry the operator overline{u} gamma_mu (1-gamma_5)d overline{u} gamma_mu (1-gamma_5)d is part of the ${\bf 27}$ representation responsible for Delta I=3/2 strangeness changing decays in the standard model. At leading order in the chiral expansion there is only one coupling constant that describes the weak interactions of the pseudo-Goldstone bosons induced by the 27 representation. The observed branching fraction for K+ to pi+ pi0 determines this coupling constant. Contributions of the form m_s log m_s are used to estimate SU(3) breaking corrections to the relation between K+ to pi+ pi0 and the pi- to pi+ e- e- interaction.
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"abstract": "Physics beyond the standard model of electroweak interactions that violates\nlepton number will, in general, induce operators involving the quark and lepton\nfields that violate lepton number. I point out that some matrix elements of\nparticular operators are known. In the limit of exact SU(3) flavor symmetry the\noperator overline{u} gamma_mu (1-gamma_5)d overline{u} gamma_mu (1-gamma_5)d is\npart of the ${\\bf 27}$ representation responsible for Delta I=3/2 strangeness\nchanging decays in the standard model. At leading order in the chiral expansion\nthere is only one coupling constant that describes the weak interactions of the\npseudo-Goldstone bosons induced by the 27 representation. The observed\nbranching fraction for K+ to pi+ pi0 determines this coupling constant.\nContributions of the form m_s log m_s are used to estimate SU(3) breaking\ncorrections to the relation between K+ to pi+ pi0 and the pi- to pi+ e- e-\ninteraction.",
"arxiv_id": "nucl-th/9811087",
"authors": [
"Martin J. Savage"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1103/PhysRevC.59.2293",
"journal_ref": "Phys.Rev. C59 (1999) 2293-2296",
"title": "Pionic Matrix Elements in Neutrinoless Double-Beta Decay",
"url": "https://arxiv.org/abs/nucl-th/9811087"
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