Pionic matrix elements in neutrinoless double-Beta decay
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 u-bar gamma{sub {mu}}(1 - gamma{sub 5})d u-bar gamma{sub {mu}}(1 - gamma{sub 5})d is part of the 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{sup +} --> pi{sup +}pi{sup 0} determines this coupling constant. Contributions of the form m{sub s} ln m{sub s} are used to estimate SU(3) brea king corrections to the relation between K{sup +} --> pi{sup +}pi{sup 0} and the pi{sup -} --> pi{sup +}e{sup -}e{sup -} interaction.
- Research Organization:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Organization:
- USDOE Office of Energy Research (ER) (US)
- DOE Contract Number:
- AC05-84ER40150
- OSTI ID:
- 803367
- Report Number(s):
- JLAB-THY-98-53; DOE/ER/40150-2298; TRN: US0300478
- Journal Information:
- Physical Review C, Vol. 59; Other Information: Phys. Rev. C 59, 2293 (1999); PBD: 1 Apr 1999
- Country of Publication:
- United States
- Language:
- English
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