Abstract

We propose a minimal extension of Standard Model, generating a Majorana mass for neutron, connected with a mechanism of Post-Sphaleron Baryogenesis. We consider an `exotic vector-like pair' of color-triplet scalars, an extra Majorana fermion $\psi$, and a scalar field $\phi$, giving mass to $\psi$. The vector-like pair is defined `exotic' because of a peculiar mass term of the color-triplet scalars, violating Baryon number as $\Delta B=1$. A Post-Sphaleron Baryogenesis is realized through $\phi$-decays into six quarks (antiquarks), or through $\psi$-decays into three quarks (antiquarks). This model suggests some intriguing B-violating signatures, testable in the next future, in Neutron-Antineutron physics and LHC. We also discuss limits from FCNC. Sterile fermion can also be light as $1-100\, \rm GeV$. In this case, the sterile fermion could be (meta)-stable and $n-\bar{n}$ oscillation can be indirectly generated by two $n-\psi$, $\psi-\bar{n}$ oscillations, without needing of an effective Majorana mass for neutron. Majorana fermion $\psi$ can be a good candidate for WIMP-like dark matter.

Highlights

  • The main model’s feature: we introduce an ‘exotic’ mixing mass term for a vectorlike pair of color scalar triplets, violating baryon number as ∆B = 1, i.e one color-triplet scalar has a different baryon number with respect to the other triplet antiscalar by exactly one unit

  • We propose a minimal extension of Standard Model, generating a Majorana mass for neutron, connected with a mechanism of Post-Sphaleron Baryogenesis

  • The vector-like pair is defined ‘exotic’ because of a peculiar mass term of the color-triplet scalars, violating Baryon number as ∆B = 1. Such a mass term could be generated by exotic instantons in a class of string-inspired completions of the Standard Model: openoriented strings attached between D-brane stacks and Euclidean D-branes

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Summary

A model for a neutron Majorana mass

We introduce a vector-like pair of (complex) color-triplet scalars Xi, Yi (an their antiparticles) with i, j color indices of SU(3)c. This is a gauge singlet with zero Baryon number, zero Lepton number, zero hypercharge These fields, compatible with gauge invariances, can interact with quark fields as LY = y1XiψdiR + y2YiujRdkR ijk + h.c (2.1). We can consider for example M0 1 − 10 TeV and μ 106÷10 TeV, generating a lot of interesting physics for LHC, as discussed later. Another branch could be μ 1 − 103 GeV corresponding to M0 7×103÷2TeV. We are not generating a proton decay process, if the mass of ψ is higher than proton mass.

FCNC bounds and the space of the parameters
LHC physics
Post-sphaleron baryogenesis
Beyond the toy-model: string-inspired standard model and exotic instantons
Conclusions
Full Text
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