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The CP-violating inert-doublet model - Scalars 2011

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-18<br />

10<br />

3<br />

10<br />

[GeV] M S<br />

-20<br />

10<br />

10<br />

2<br />

10<br />

10<br />

3<br />

[GeV]<br />

Long lifetime<br />

differences, ∆ ± M ≡ M η ± − M S vs M S .Right:Correspondingη ± lifetime.<br />

M S<br />

Mass difference<br />

± lifetime<br />

-6<br />

10<br />

ions, decays 2<br />

10involving η ± could lead to observable signals. It was<br />

10<br />

-8<br />

at in a related <strong>model</strong> [64], the combination of a small mass splitting<br />

alar and the <strong>inert</strong> one, together with a small mixing<br />

-10<br />

angle, can lead<br />

M [GeV]<br />

<br />

±<br />

10<br />

10<br />

alars that give displaced vertices in LHC detectors.<br />

-12<br />

In that <strong>model</strong>,<br />

10<br />

comes about from the assumption of unification at a high scale. In<br />

1<br />

-14<br />

10<br />

ere, the small splitting is required by theappropriatepredictionfor<br />

-16<br />

ance in the case 10<br />

-1 of a heavy S (the DM candidate). It is therefore of<br />

10<br />

-18<br />

er similar experimental signals are expected here as well. We split<br />

cases, according to the mass hierarchies.<br />

-2<br />

10<br />

2<br />

10<br />

10<br />

3<br />

M S<br />

[GeV]<br />

[s]<br />

<br />

10<br />

10<br />

-20<br />

10<br />

10<br />

2<br />

10<br />

10<br />

3<br />

M S<br />

[GeV]<br />

l W )<br />

Degeneracy at high masses<br />

but cross section would be small<br />

η + → Sl + ν l (12.2)

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