Abstract
Extensions of the minimal supersymmetric standard model (MSSM) gauge group abound in the literature. Several of these include an additional U(1)X gauge group. Chiral fermions’ charge assignments under U(1)X are constrained to cancel local anomalies in the extension and they determine the structure and phenomenology of it. We provide all anomaly-free charge assignments up to a maximum absolute charge of Qmax = 10, assuming that the chiral superfield content of the model is that of the MSSM plus up to three Standard Model (SM) singlet superfields. The fermionic components of these SM singlets may play the rôle of right-handed neutrinos, whereas one of the scalar components may play the rôle of the flavon, spontaneously breaking U(1)X. Easily scanned lists of the charge assignments are made publicly available on Zenodo. For the case where no restriction is placed upon Qmax, we also provide an analytic parameterisation of the general solution using simple techniques from algebraic geometry.
Highlights
Standard Model (SM) by a spontaneously broken gauged u(1)X summand, for example
Specific models incorporating the minimal supersymmetric standard model (MSSM) with an additional U(1)X gauge group can combine the phenomenological advantages of supersymmetry with potential uses of the additional gauge factor and they have received quite some attention in the literature, for the case where the U(1)X charges are family dependent
For the first time, all charge assignments of the MSSM plus three SM-singlet chiral superfields which are free of local anomalies (the SM-singlets can produce neutrino masses as well as spontaneously break the U(1)X symmetry)
Summary
We only found a practical way to do this for conditions (i) and (ii), but not (iii), implying that there will remain a few physically equivalent charge assignments in any anomaly-free list that we produce.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
