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R-parity
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==Proton decay== [[Image:R-parity violating decay.svg|frame|right]] Without baryon and lepton number being conserved and taking [[Big O notation|<math>\mathcal{O}(1)</math>]] couplings for the R-parity violating couplings, the proton can decay in approximately 10<sup>−2</sup> seconds or if [[minimal flavor violation]] is assumed the proton lifetime can be extended to 1 year. Since the proton lifetime is observed to be greater than 10<sup>33</sup> to 10<sup>34</sup> years (depending on the exact decay channel), this would highly disfavour the model. R-parity sets all of the renormalizable baryon and lepton number violating couplings to zero and the proton is stable at the renormalizable level and the lifetime of the proton is increased to 10<sup>32</sup> years and is nearly consistent with current observational data. Because proton decay involves violating both lepton and baryon number simultaneously, no single renormalizable R-parity violating coupling leads to proton decay. This has motivated the study of R-parity violation where only one set of the R-parity violating couplings are non-zero which is sometimes called the single coupling dominance hypothesis.
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