# Bounds on fourth generation induced Lepton Flavour Violating double insertions in Supersymmetry

Source: [Bounds on fourth generation induced Lepton Flavour Violating double insertions in Supersymmetry](<https://www.sota2.com/research/paper/68fa2e941e209131ce8644b5>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T17:02:07.492Z

Authors: Sumit K. Garg, Sudhir K. Vempati

Published: 2011-03-05T06:53:39.000Z

## Abstract

We derive bounds on leptonic double mass insertions of the type $\\delta^{l}\_{i4} \\delta^{l}\_{4j}$ in four generational MSSM, using the present limits on $l\_i \\to l\_j + \\gamma$. Two main features distinguish the rates of these processes in MSSM4 from MSSM3 : (a) tan$\\beta$ is restricted to be very small $\\lesssim 3 $ and (b) the large masses for the fourth generation leptons. In spite of small $\\tan\\beta$, there is an enhancement in amplitudes with $llrr$($\\delta\_{i4}^{ll}\\delta\_{4j}^{rr}$) type insertions which pick up the mass of the fourth generation lepton, $m\_{\\tau'}$. We find these bounds to be at least two orders of magnitude more stringent than those in MSSM3.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1103.1011>)

[PDF](<https://arxiv.org/pdf/1103.1011.pdf>)
