Papers

Peer-reviewed
1999

Effective theory description of anomalous U(1) supersymmetry breaking and its embedding into supergravity

Progress of Theoretical Physics
  • Atsushi Kageyama
  • ,
  • Hiroaki Nakano
  • ,
  • Takaaki Ozeki
  • ,
  • Yoshiaki Watanabe

Volume
101
Number
2
First page
439
Last page
457
Language
English
Publishing type
Research paper (scientific journal)
DOI
10.1143/PTP.101.439
Publisher
Yukawa Institute for Theoretical Physics

We discuss the embedding of anomalous U(1) supersymmetry breaking into supergravity, working in the effective theory after integrating out a strongly interacting non-Abelian gauge sector. By explicitly performing the fine-tuning of the cosmological constant, we calculate the gravitino mass and the supergravity correction to the expectation value of the auxiliary field D, the latter of which was previously argued to give rise to a dominant source of soft scalar masses. Unlike the conventional scheme of the hidden-sector gaugino condensation, we generically find a rather large gravitino mass m3/2 of order Λ̂3 / ξMpl, expressed in terms of the scale Λ̂ of the gaugino condensation and the scale ξ of the Fayet-Iliopoulos term. The explicit solution is given for the constant added to the superpotential in order to cancel the vacuum energy. In particular, we identify the parameter region in which no solution is found, as well as the parameter region in which the vacuum energy vanishes without adding the constant term. We also show how the allowed parameter region is reduced by requiring the positivity of the D-term soft mass-squared. Finally, we briefly discuss the constraint on the dilaton Kähler potential when the dynamical effect of the dilaton is included.

Link information
DOI
https://doi.org/10.1143/PTP.101.439
ID information
  • DOI : 10.1143/PTP.101.439
  • ISSN : 0033-068X
  • SCOPUS ID : 0033240725

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