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High Energy Physics - Phenomenology · arXiv:1002.5044 v2 · submitted 26 Feb 2010

Suppressing Lepton Flavour Violation in a Soft-Wall Extra Dimension

Michael Atkins, Stephan J. Huber

The paper says

“We find that rates for processes such as muon-electron conversion are significantly reduced compared to hard-wall models, allowing for a Kaluza-Klein scale as low as 2 TeV.”

from the abstract · picked out as the main claim by a classifier

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The paper

Abstract

A soft-wall warped extra dimension allows one to relax the tight constraints imposed by electroweak data in conventional Randall-Sundrum models. We investigate a setup, where the lepton flavour structure of the Standard Model is realised by split fermion locations. Bulk fermions with general locations are not analytically tractable in a soft-wall background, so we follow a numerical approach to perform the Kaluza-Klein reduction. Lepton flavour violation is induced by the exchange of Kaluza-Klein gauge bosons. We find that rates for processes such as muon-electron conversion are significantly reduced compared to hard-wall models, allowing for a Kaluza-Klein scale as low as 2 TeV. Accommodating small neutrino masses forces one to introduce a large hierarchy of scales into the model, making pressing the question of a suitable stabilisation mechanism.

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abstract compiled · 2026-09-23 · no language-model review

How the main claim is stated: asserted 1.00

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.91 · human participants 0.01 · controlled comparison 0.50 · randomized assignment 0.01 · states quantitative result 0.97 · compares with prior results 0.93 · mentions code or data availability 0.02

The abstract, sentence by sentence

This table labels the abstract only (arXiv listing abstract v2). The number is the probability the classifier gave the label.

SentenceRoleThe authors' own workStates the main conclusionStrength
A soft-wall warped extra dimension allows one to relax the tight constraints imposed by electroweak data in conventional Randall-Sundrum models. background 1.00 0.09 0.07 asserted 0.85
We investigate a setup, where the lepton flavour structure of the Standard Model is realised by split fermion locations. contribution 0.53 0.57 0.03 asserted 0.98
Bulk fermions with general locations are not analytically tractable in a soft-wall background, so we follow a numerical approach to perform the Kaluza-Klein reduction. method 0.98 0.79 0.03 asserted 1.00
Lepton flavour violation is induced by the exchange of Kaluza-Klein gauge bosons. background 0.79 0.19 0.04 asserted 1.00
We find that rates for processes such as muon-electron conversion are significantly reduced compared to hard-wall models, allowing for a Kaluza-Klein scale as low as 2 TeV. result 0.99 0.95 0.82 asserted 1.00
Accommodating small neutrino masses forces one to introduce a large hierarchy of scales into the model, making pressing the question of a suitable stabilisation mechanism. limitation 0.84 0.38 0.05 asserted 0.99

What kind of paper the classifier reports this is: theoretical result 0.68 · evidence from simulation or computation 1.00

What was examined, and what was not

Sources read

  • arXiv listing abstract v2

Not examined

  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers

Levels run

  • P abstract

Not run

  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

How the labels were made

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,923 input tokens, $0.0002 reported.

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON

Cited by 2 Pith papers
How the literature uses it

14 arXiv papers cite this in 27 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 13 sentences without a confident label

Builds on it 1 paper
Compares with it 2 papers
  • The first approximation is tested by comparing this study with some earlier work [ref] .

    Constraints on Models with Warped Extra Dimensions · Numerical Analysis and Results · 0.98

  • Secondly, it allows us to compare the results from the present model, with a $z$-dependent mass ([ref]), with a model in which one uses the Yukawa couplings to get a discrete fermion spectrum [ref] .

    Flavour Physics in the Soft Wall Model · Numerical Analysis and Results · 1.00

Cites it as background 6 papers
  • Good singular metrics have been classified and characterized using stringy [ref] and pure field theoretical methods [ref] and they constitute the background of the so-called soft-wall models [ref] .

    Suppressing Electroweak Precision Observables in 5D Warped Models · Introduction · 0.98

  • SW's have for instance been studied in the context of AdS/QCD [ref] , EWSB [ref] and flavour physics [ref] .

    From Soft Walls to Infrared Branes · Introduction · 0.98

  • Some authors therefore suggested additional flavor protection mechanisms, including symmetries, [ref] or modified geometries, [ref] which we will briefly comment on in the Sec. [ref] and [ref].

    Flavor Physics in Warped Space · Warped Theories of Flavor · 0.80

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