Can precision measurements of slepton masses probe right handed neutrinos?

• Published in: Physical review. D, Particles and fields Vol. 63; no. 5
• Main Authors: Baer, Howard, Balázs, Csaba, Mizukoshi, J. Kenichi, Tata, Xerxes
• Format: Journal Article
• Language: English
• Published: United States The American Physical Society 01-03-2001
• Subjects: LINEAR COLLIDERS; NEUTRINOS; PARTICLE ACCELERATORS; PROBES; RENORMALIZATION
• ISSN: 0556-2821; 1089-4918
• DOI: 10.1103/PhysRevD.63.055011

In a supersymmetric model, the presence of a right handed neutrino with a large Yukawa coupling f{sub {nu}} would affect slepton masses via its contribution to the renormalization group evolution between the grand unification and weak scales. Assuming a hierarchichal pattern of neutrino masses, these effects are large for only the third generation of sleptons. We construct mass combinations to isolate the effect of f{sub {nu}} from mass corrections already expected from tau Yukawa couplings. We then analyze the size of these effects, assuming that the Super-Kamiokande data constrain 0.033 eV{approx}<m{sub {nu}{sub {tau}}}{approx}<0.1 eV and that neutrino masses arise via a seesaw mechanism. We also explore whether these effects might be detectable in experiments at future e{sup +}e{sup -} linear colliders. We find that m{sub {nu}{sub {tau}}} needs to be measured with a precision of about 2--3% to measure the effect of f{sub {nu}} if the neutrino and top Yukawa couplings unify at the grand unification scale. In a simple case study, we find a precision of only 6--10% might be attainable after several years of operation. If the neutrino Yukawa coupling is larger, or in more complicated models of neutrino masses, a determination of {tilde {tau}}{sub 1} and {tilde {nu}}{sub {tau}} masses might provide a signal of a Yukawa interaction of neutrinos.