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An analysis of soft terms in Calabi-Yau compactifications

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Zeitschrift für Physik C Particles and Fields

Abstract

We perform an analysis of the soft supersymmetry-breaking terms arising in Calabi-Yau compactifications. The sigma-model contribution and the instanton correction to the Kähler potential are included in the computation. The existence of off-diagonal moduli and matter metrics gives rise to specific features as the possibility of having scalars heavier than gauginos or the presence of tachyons. Although non-universal soft terms is a natural situation, we point out that there is an interesting limit where universality is achieved. Finally, we compare these results with those of orbifold compactifications. Although they are qualitatively similar some features indeed change. For example, sum rules found in orbifold models which imply that on average the scalars are lighter than gauginos can be violated in Calabi-Yau manifolds.

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References

  1. For recent reviews, see: C. Muñoz, “Soft supersymmetry-breaking terms and the μ problem”, FTUAM 95/20, hep-th/9507108; “Soft terms from Strings”, Nucl. Phys. B (Proc. Suppl.) 49 (1996) 96, hepth/9601325

  2. J.A. Casas, SCIPP-96-20, hep-th/9605180

  3. L.J. Dixon, J. Harvey, C. Vafa and E. Witten, Nucl. Phys. B261 (1985) 678, Nucl. Phys. B274 (1986) 285; L.E. Ibáñez, H.P. Nilles and F. Quevedo, Phys. Lett. B187 (1987) 25

    Article  ADS  MathSciNet  Google Scholar 

  4. A. Font, L.E. Ibáñez, D. Lüst and F. Quevedo, Phys. Lett. B245 (1990) 401; M. Cvetič, A. Font, L.E. Ibáñez, D. Lüst and F. Quevedo, Nucl. Phys. B361 (1991) 194; B. de Carlos, J.A. Casas and C. Muñoz, Phys. Lett. B299 (1993) 234; Nucl. Phys. B399 (1993) 623; A. de la Macorra and G.G. Ross, Phys. Lett. B325 (1994) 85

    Article  ADS  Google Scholar 

  5. L.E. Ibáñez and D. Lüst, Nucl. Phys. B382 (1992) 305

    Article  ADS  Google Scholar 

  6. A. Brignole, L.E. Ibáñez and C. Muñoz, Nucl. Phys. B422 (1994) 125 [Erratum: B436 (1995) 747]

    Article  ADS  Google Scholar 

  7. S. Ferrara, C. Kounnas and F. Zwirner, Nucl. Phys. B429 (1994) 589 [Erratum: B433 (1995) 255]

    Article  ADS  MathSciNet  Google Scholar 

  8. T. Kobayashi, D. Suematsu, K. Yamada and Y. Yamagishi, Phys. Lett. B348 (1995) 402; P. Brax and M. Chemtob, Phys.Rev. D51 (1995) 6550

    Article  ADS  Google Scholar 

  9. A. Brignole, L.E. Ibáñez, C. Muñoz and C. Scheich, FTUAM 95/26, hep-ph/9508258, to appear in Z. Phys. C

  10. V.S. Kaplunovsky and J. Louis, Phys. Lett. B306 (1993) 269

    Article  ADS  Google Scholar 

  11. A. de la Macorra and G.G. Ross, Nucl. Phys. B404 (1993) 321; V. Halyo and E. Halyo, Phys. Lett. B382 (1996) 89

    Article  ADS  Google Scholar 

  12. R. Barbieri, J. Louis and M. Moretti, Phys. Lett. B312 (1993) 451 [Erratum: B316 (1993) 632]; J.L. Lopez, D.V. Nanopoulos and A. Zichichi, Phys. Lett. B319 (1993) 451

    Article  ADS  Google Scholar 

  13. P. Brax and C.A. Savoy, Nucl. Phys. B447 (1995) 227; E. Dudas, S. Pokorski and C.A. Savoy, Phys. Lett. B369 (1996) 255; Ph. Brax, U. Ellwanger and C.A. Savoy, Phys. Lett. B347 (1995) 269; S. Khalil, A. Masiero and F. Vissani, Phys. Lett. B375 (1996) 64; C.-H. Chen, M. Drees and J.F. Gunion, UCD-96-20, hep-ph/9607421

    Article  ADS  Google Scholar 

  14. P. Candelas, G. Horowitz, A. Strominger and E. Witten, Nucl. Phys. B258 (1985) 46

    Article  ADS  MathSciNet  Google Scholar 

  15. D. Gepner, Phys. Lett. B199 (1987) 370, Nucl. Phys. B296 (1988) 757; E. Martinec, Phys. Lett. B217 (1989) 431; C. Vafa and N. Warner, Phys. Lett. B218 (1989) 51; B Greene, C. Vafa and N. Warner, Nucl. Phys. B324 (1989) 321; W. Lerche, C. Vafa and N. Warner, Nucl. Phys. B324 (1989) 427

    ADS  MathSciNet  Google Scholar 

  16. L.E. Ibáñez, D. Lüst and G.G. Ross, Phys. Lett. B272 (1991) 251; L.E. Ibáñez and D. Lüst, Nucl. Phys. B382 (1992) 305; H.P. Nilles and S. Stieberger, Phys. Lett. B367 (1996) 126

    Article  ADS  Google Scholar 

  17. K. Choi, Z. Phys. C39 (1988) 219

    ADS  Google Scholar 

  18. G.F. Giudice and A. Masiero, Phys. Lett. B206 (1988) 480; J.A. Casas and C. Muñoz, Phys. Lett. B306 (1993) 288; G. Lopes-Cardoso, D. Lüst and T. Mohaupt, Nucl. Phys. B432 (1994) 68; I. Antoniadis, E. Gava, K.S. Narain and T.R. Taylor, Nucl. Phys. B432 (1994) 187; A. Brignole, L.E. Ibáñez and C. Muñoz, CERN-TH/96-183, hepph/9607405, to be published in Phys. Lett. B

    Article  ADS  Google Scholar 

  19. S.K. Soni and H.A. Weldon, Phys. Lett. B126 (1983) 215

    Article  ADS  Google Scholar 

  20. L.J. Dixon, V.S. Kaplunovsky and J. Louis, Nucl. Phys. B329 (1990) 27

    Article  ADS  MathSciNet  Google Scholar 

  21. E. Cremmer, C. Kounnas, A. van Proeyen, J.P. Derendinger, S. Ferrara, B. de Witt and L. Girardello, Nucl. Phys. B250 (1985) 385; S. Cecotti, S. Ferrara and L. Girardello, Int. J. Mod. Phys. A4 (1989) 2475; S. Ferrara, Nucl. Phys. (Proc. Suppl.) 11 (1989) 342; P. Candelas and X. de la Ossa, Nucl. Phys. B355 (1991) 455; A. Strominger, Commun. Math. Phys. 133 (1990) 163

    Article  ADS  Google Scholar 

  22. P. Candelas, X. de la Ossa, A. Font, S. Katz and D. Morrison, Nucl. Phys. B416 (1994) 481; P. Candelas, A. Font, S. Katz and D. Morrison, Nucl. Phys. B429 (1994) 626

    Article  ADS  Google Scholar 

  23. For a review, see: S. Hosono, A. Klemm and S. Theisen, Proceedings of Helsinki 1993 “Integrable models and strings”, hep-th/9403096, and references therein

  24. S. Hosono, A. Klemm, S. Theisen and S.-T. Yau, Nucl. Phys. B433 (1995) 501

    Article  ADS  MathSciNet  Google Scholar 

  25. A. Klemm and S. Theisen, Nucl. Phys. B389 (1993) 153

    Article  ADS  MathSciNet  Google Scholar 

  26. A. Font, Nucl. Phys. B391 (1993) 358

    Article  ADS  MathSciNet  Google Scholar 

  27. P. Candelas, X. de la Ossa, P.S. Green and L. Parkes, Nucl. Phys. B359 (1991) 21, Phys. Lett. B258 (1991) 118

    Article  ADS  Google Scholar 

  28. P. Candelas, M. Lynker and R. Schimmrigk, Nucl. Phys. B341 (1990) 383; J. Fuchs, A. Klemm, Ch. Scheich and M.G. Schmidt, Phys. Lett. B232 (1989) 317; Ann. Phys. 204 (N.Y.) (1990) 317

    Article  ADS  MathSciNet  Google Scholar 

  29. M. Dine, R. Leigh and A. Kagan, Phys. Rev. D48 (1993) 4269; D. Choudhury, F. Eberlein, A. Koning, J. Louis and S. Pokorsky, Phys. Lett. B342 (1995) 180; B. de Carlos, J.A. Casas and J.M. Moreno, Phys. Rev. D53 (1996) 6398

    ADS  Google Scholar 

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Kim, H.B., Muñoz, C. An analysis of soft terms in Calabi-Yau compactifications. Z Phys C - Particles and Fields 75, 367–374 (1997). https://doi.org/10.1007/s002880050480

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