Abstract

We determine the widths of three-body decays of sleptons, l-tilde{sup -}{yields}l-tilde{sup {+-}}l{sup -}l{sup {+-}}, l-tilde{sup -}{nu}{nu}, l-tilde{sup -}qq, in the presence of arbitrary slepton flavor violation and left-right mixing. These decays are important in scenarios in which the lightest supersymmetric particle is the gravitino, a generic possibility in models with gauge- and gravity-mediated supersymmetry breaking. Three-body decays have been discussed previously, assuming flavor conservation and left-right mixing in only the stau sector. Flavor violation and general left-right mixing open up many new decay channels, which provide new avenues for precision mass measurements and may play an essential role in solving the standard model flavor problem. We present results for toy models with two-generation mixing, and discuss the implementation of these results in spice, a program that simplifies collider event simulations of flavor-violating supersymmetric models.

Highlights

  • Fermion masses are one of the least understood parts of the standard model (SM)

  • Given an understanding of the qualitatively new features introduced by flavor and left-right mixing described in Sec

  • ‘~À ! ‘~þ‘À‘À, in the presence of arbitrary lepton flavor violation (LFV) and arbitrary left-right mixing. Such processes are relevant in scenarios with a gravitino lightest supersymmetric particle (LSP) and a slepton next-to-lightest supersymmetric particle (NLSP), where they are typically the dominant decay of some of the non-NLSP sleptons and are present as the last step in many supersymmetric cascade decays

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Summary

INTRODUCTION

Fermion masses are one of the least understood parts of the standard model (SM). Even the charged fermion masses span over 5 orders of magnitude from the top quark to the electron, begging for a theoretical explanation. Our work generalizes the charged slepton analysis to the case of arbitrary lepton flavor violation (LFV) and arbitrary left-right mixing. LFV and left-right mixing bring additional complications that are absent in the flavor-conserving case, including new processes mediated by Higgs and Z bosons, new final states with neutrinos and quarks, and new interference effects in charge-flipping processes. These complications are well worth confronting, as there is a wealth of information in these branch-. These are consistent with those of Ref. [27], where full details may be found

FLAVOR VIOLATION IN THREE-BODY SLEPTON DECAYS
ANALYTIC RESULTS AND QUALITATIVE OBSERVATIONS
À pjÞ2
TWO-SLEPTON MIXING
CONCLUSIONS AND IMPLEMENTATION IN
HH contribution
Total width
À11 width
À22 width
Matrix elements
Down-type quarks
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