On the model discriminating power of mu to e conversion in nuclei

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Lepton Flavor Violating (LFV) charged lepton decays provide a highly sensitive probe of physics beyond the Standard Model (SM), due to the un-observably small branching fractions ({approx}10{sup -50}) predicted for these modes in the SM (minimally extended to include massive neutrinos). Searches for SM forbidden muon processes, such as {mu} {yields} e{gamma}, {mu} {yields} e{bar e}e, and {mu} {yields} e conversion in nuclei, have provided so far the strongest constraints on LFV new physics. This statement can be characterized in a model-independent way as a lower bound on the scale associated to a set of dimension six effective operators parameterizing ... continued below

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Cirigliano, Vincenzo; Kitano, Ryuichiro; Okada, Yashuiro & Tuzon, Paulo January 1, 2009.

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Lepton Flavor Violating (LFV) charged lepton decays provide a highly sensitive probe of physics beyond the Standard Model (SM), due to the un-observably small branching fractions ({approx}10{sup -50}) predicted for these modes in the SM (minimally extended to include massive neutrinos). Searches for SM forbidden muon processes, such as {mu} {yields} e{gamma}, {mu} {yields} e{bar e}e, and {mu} {yields} e conversion in nuclei, have provided so far the strongest constraints on LFV new physics. This statement can be characterized in a model-independent way as a lower bound on the scale associated to a set of dimension six effective operators parameterizing new physics beyond the SM. It is a well known fact that while the decay {mu} {yields} e{gamma} is only sensitive to a transition magnetic dipole operator, both {mu} {yields} e{bar e}e and {mu} {yields} e conversion in nuclei are sensitive to transition charge radii operators as well as purely contact four-fermion interactions induced by physics beyond the SM. In other words, different LFV decays have different sensitivities to underlying LFV mechanisms (effective operators). This leads naturally to ask the question whether one could infer the relative strength of these different operators in a completely phenomenological and model-independent way. This would allow one to discriminate among different underlying models of LFV and thus would provide valuable input for model building. In Ref. [1] it was pointed out that in principle, by combining the rates of {mu} {yields} e{gamma} and {mu} {yields} e conversion on different target nuclei, one could discriminate underlying models. In this work we go back to this issue with the aim to: quantify the theoretical uncertainty induced by the hadronization process; and quantify the experimental precision required to realistically infer useful information on the underlying LFV mechanisms. We organize our discussion as follows: in Section 2 we review the derivation of the {mu} {yields} e conversion rate starting from a general effective theory description of the LFV physics. In Section 3 we explore the phenomenological consequence of the simplest possible models, in which only one effective LFV operator dominates. We extend this analysis in Section 4 to the class of models in which two operators dominate. In Section 5 we specialize our discussion to the SUSY see-saw model and summarize the conclusions of our analysis in Section 6.

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  • Journal Name: Phys Rev D

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  • Report No.: LA-UR-09-01473
  • Report No.: LA-UR-09-1473
  • Grant Number: AC52-06NA25396
  • DOI: 10.1103/PhysRevD.80.013002 | External Link
  • Office of Scientific & Technical Information Report Number: 956584
  • Archival Resource Key: ark:/67531/metadc927957

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  • January 1, 2009

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  • Nov. 13, 2016, 7:26 p.m.

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  • Dec. 12, 2016, 12:36 p.m.

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Cirigliano, Vincenzo; Kitano, Ryuichiro; Okada, Yashuiro & Tuzon, Paulo. On the model discriminating power of mu to e conversion in nuclei, article, January 1, 2009; [New Mexico]. (digital.library.unt.edu/ark:/67531/metadc927957/: accessed December 17, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.