Abstract
In this paper, we presented a mathrm {U}(1) extension of the SM and the corresponding consequences, based on a more fundamental structure of the spacetime. We started fundamentally from a generally covariant theory which includes a set of the fields propagating dynamically in the fundamental spacetime and respecting for the SM gauge group. We then derived, in the effective four-dimensional spacetime, an extension of the SM with the gauge group mathrm {SU}(3)_Cotimes mathrm {SU}(2)_Lotimes mathrm {U}(1)_Yotimes mathrm {U}(1)_X. Due to the structure of the spacetime, the tiny observed neutrino masses are an unavoidable consequence in this scenario. Also, the phenomenology of the new neutral gauge boson is discussed in detail.
Highlights
The present experimental observations indicate that the spacetime is a four-dimensional manifold
We study the treelevel decays of the gauge boson X into the two-body final states. (The loop induced decays of the gauge boson X will be studied in our future work.) Because there has no treelevel mixing between the gauge boson X and the standard model (SM) gauge bosons, X should not decay into SM diboson pairs and the pairs Z S with S referring to any scalar
We have proposed a U(1)X extension of the SM, which departs fundamentally from the theory in the fivedimensional fiber bundle spacetime with the SM gauge symmetry group
Summary
The present experimental observations indicate that the spacetime is a four-dimensional manifold. Introducing an additional Abelian gauge force is through the extension of the SM gauge symmetry group by adding an additional, fundamental U(1) symmetry to the theory there has still the possibility that the new Abelian gauge force comes from a more complex and deeper structure of the spacetime. This is motivated by the fact that one of presently well-known four fundamental forces, the gravitational interaction, arises as a result of the geometric structure of the spacetime.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
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.
