Abstract

In grand unified theories higher order contributions to the effective potential contain terms of the type (λ log υ 1 2 υ 2 2 ) n where λ is some Higgs coupling and υ 1, υ 2 are the vacuum expectation values of certain scalar fields whose ratio we require phenomenologically to be extremely large ( υ 1 2 υ 2 2 ≈ 10 24 or so). We study these terms in a toy model and find taht they can be absorbed into suitably defined coupling constant whose evolution equations (in this leading logarithm approximation) seem to indicate that no natural large hierachy is possible. For consistency of the calculation, however, certain “non-leading” terms must also be included and then it is found that the evolution equations have to be reinterpreted, suggesting a very natural explanation of the large ratio of vacuum expectation values.

Full Text
Paper version not known

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 call

Disclaimer: 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.