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A high-resolution version for printing - CP3-Origins

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This part of the workplan has multiple purposes: it will lead to a deeper understanding of the<br />

Origin of Mass, both theoretically and phenomenologically; it allows us to get closer to cosmology<br />

by direct investigation of models of Dark Matter and baryogenesis; it will lead to a better<br />

understanding of the LHC complex phenomenology and its possible outcomes. In the long run,<br />

and depending on the LHC outcome, we will also explore how these models may fit in a more<br />

unified theory of all <strong>for</strong>ces, including gravity. One can envision, <strong>for</strong> example, the possibility of<br />

marrying supersymmetry and technicolor at a scale <strong>high</strong>er than the electroweak.<br />

Flavour Physics<br />

The goal of this project is to help uncovering an underlying and more fundamental flavour<br />

structure of the SM. This will help guiding our intuition <strong>for</strong> constructing more solid extensions<br />

of the SM.<br />

Perturbed S3 neutrinos<br />

We studied the effects of the perturbation which violates the permutation symmetry of three<br />

Majorana neutrinos but preserves the well known (23) interchange symmetry. This is done in<br />

the presence of an arbitrary Majorana phase which serves to insure the degeneracy of the three<br />

neutrinos at the unperturbed level.<br />

[Perturbed S(3) neutrinos. Renata Jora, (Barcelona, Autonoma U.) , Joseph Schechter, M. Naeem Shahid,<br />

(Southern Denmark U., <strong>CP3</strong>-<strong>Origins</strong> & Syracuse U.). <strong>CP3</strong>-ORIGINS-2009-12, SU-4252-898,<br />

Phys.Rev.D80:093007,2009.]<br />

Discrete Minimal Flavour Violation<br />

We investigated the consequences of replacing the global flavour symmetry of Minimal Flavour<br />

Violation (MFV) SU(3)_QxSU(3)_UxSU(3)_Dx..., by a discrete D_QxD_UxD_Dx.. symmetry.<br />

Goldstone bosons resulting from the breaking of the flavour symmetry generically lead to<br />

bounds on new flavour structure many orders of magnitude above the TeV-scale. The absence of<br />

Goldstone bosons <strong>for</strong> discrete symmetries constituted the primary motivation of our work. Less<br />

symmetry implies further invariants and renders the mass flavour basis trans<strong>for</strong>mation observable<br />

in principle and calls <strong>for</strong> a hierarchy in the Yukawa matrix expansion. We showed, through<br />

the dimension of the representations, that the (discrete) symmetry in principle does allow <strong>for</strong><br />

additional Delta F = 2 operators.<br />

[On discrete Minimal Flavour Violation.<br />

Roman Zwicky, Thomas Fischbacher, (Southampton U.) Published in Phys.Rev.D80:076009,2009.]<br />

In the future we plan to further investigate the flavour structure stemming out from technicolor<br />

type extensions of the SM.<br />

Matter-Antimatter Asymmetry<br />

The matter-antimatter asymmetry, namely the violation of the discrete CP symmetry, is a phenomenon<br />

intimately linked to the origin of fermion masses.<br />

A better characterisation and understanding of CP violation would help in our quest to go beyond<br />

the SM. CP is violated by weak interactions. The SM does not explain this violation, but<br />

successfully accounts <strong>for</strong> it under the <strong>for</strong>m of a phase in the quark mixing matrix.<br />

CP³-Black book 14

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