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Corrections to mass scale predictions in SO(10) grand unified theory with higher dimensional operators

Alakabha Datta and Sandip Pakvasa

Utpal Sarkar

  • Physics Department, University of Hawaii at Manoa, 2505 Correa Road, Honolulu, Hawaii 96922

  • Theory Group, Physical Research Laboratory, Ahmedabad 380009, India

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Phys. Rev. D 50, 2192 – Published 1 August, 1994

DOI: https://doi.org/10.1103/PhysRevD.50.2192

Abstract

We calculate the two loop contributions to the predictions of the mass scales in an SO(10) grand unified theory. We consider the modified unification scale boundary conditions due to the nonrenormalizable higher dimensional terms arising from quantum gravity or spontaneous compactification of extra dimensions in a Kaluza-Klein-type theory. We find the range of these couplings which allows left-right symmetry to survive till very low energy (as low as ∼ TeV) and still be compatible with the latest values of sin2θW and αs derived from CERN LEP. We consider both the situation when the left-right parity is broken and conserved. We consider both supersymmetric and nonsupersymmetric versions of the SO(10) theory. Taking the D-conserved non-SUSY case as an example we calculate the effects of moderate threshold uncertainties at the heavy scale, due to the unknown Higgs boson masses, on the gravity-induced couplings.

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References (21)

  1. J.C. Pati and A. Salam, Phys. Rev. D 10, 275 (1974); R.N. Mohapatra and J.C. Pati, ibid. 11, 566 (1975).
  2. G. Beall, M. Bander and A. Soni, Phys. Rev. Lett. 48, 848 (1982); G. Ecker and W. Grimus, Nucl. Phys. B258, 328 (1985).
  3. A. Datta and A. Raychaudhuri, Phys. Lett. 122B, 392 (1982); P. Basak, A. Datta and A. Raychaudhuri, Z. Phys. C 20, 305 (1983).
  4. See, e.g., J. Freeman, in Particle Phenomenology in the '90s, edited by A. Datta, P. Ghose, and A. Raychaudhuri (World Scientific, Singapore, 1992).
  5. G. Bhattacharyya, A. Datta, S.N. Ganguli and A. Raychaudhuri, Mod. Phys. Lett. A 6, 2557 (1991); G. Altarelli et al., Phys. Lett. B 245, 669 (1990); , Nucl. Phys. B342, 15 (1990); , Mod. Phys. Lett. A 5, 495 (1990); G. Bhattacharyya, A. Datta, S.N. Ganguli and A. Raychaudhuri, Phys. Rev. Lett. 64, 2870 (1990).
  6. G. Altarelli et al., Phys. Lett. B 245, 669 (1990); , Nucl. Phys. B342, 15 (1990); G. Bhattacharyya, A. Datta, A. Raychaudhuri and U. Sarkar, Phys. Rev. D 47, R3693 (1993).
  7. OPAL Collaboration, M.Z. Akrawy et al., Phys. Lett. B 253, 511 (1991); ALEPH Collaboration, D. Decamp et al., CERN Report No. CERN PPE/91 19 (unpublished); DELPHI Collaboration, P. Abreu , CERN Report No. CERN PPE/90 163 (unpublished); L3 Collaboration, B. Adeva , L3 Report No. 024, 1990 (unpublished).
  8. H. Georgi, H.R. Quinn and S. Weinberg, Phys. Rev. Lett. 33, 451 (1974); see also A. Masiero, in Grand Unification with and without Supersymmetry and Cosmological Implications, International School for Advanced Studies Lecture Series No. 2, Trieste, Italy, 1983, edited by C. Kounnas et al. (World Scientific, Singapore, 1984), p.1; and Unity of Forces in the Universe, edited by A. Zee (World Scientific, Singapore, 1982), Vol. 1.
  9. U. Amaldi, W. de Boer and H. Furstenau, Phys. Lett. B 260, 447 (1991); U. Amaldi et al., ibid. 281, 374 (1992).
  10. P. Langacker and M. Luo, Phys. Rev. D 44, 817 (1991); B. Brahmachari, U. Sarkar and K. Sridhar, Phys. Lett. B 297, 105 (1992); A. Galli, PSI report (unpublished).
  11. N.G. Deshpande, E. Keith and P.B. Pal, Phys. Rev. D 46, 2261 (1992); ibid. 47, 2892 (1993).
  12. A. Datta, S. Pakvasa and U. Sarkar, Phys. Lett. B 313, 83 (1993).
  13. N.G. Deshpande, E. Keith and T. Rizzo, Phys. Rev. Lett. 70, 3189 (1993).
  14. D. Chang, R.N. Mohapatra and M.K. Parida, Phys. Rev. Lett. 52, 1072 (1984); D. Chang, R.N. Mohapatra, J. Gipson, R.E. Marshak and M.K. Parida, Phys. Rev. D 31, 1718 (1985).
  15. M.K. Parida, P.K. Patra and A.K. Mohanty, Phys. Rev. D 39, 316 (1989); B. Brahmachari, P.K. Patra, U. Sarkar and K. Sridhar, Mod. Phys. Lett. A 8, 1487 (1993).
  16. C.T. Hill, Phys. Lett. 135B, 47 (1984); C. Wetterich, ibid. 110, 384 (1982); J. Ellis and M.K. Gaillard, ibid. 88B, 315 (1979); Q. Shafi and C. Wetterich, Phys. Rev. Lett. 52, 875 (1984).
  17. P.G.O. Freund, Nucl. Phys. B209, 146 (1982).
  18. R.N. Mohapatra and M.K. Parida, Phys. Rev. D 47, 264 (1993).
  19. D.R.T. Jones, Phys. Rev. D 25, 581 (1982).
  20. R.N. Mohapatra and G. Senjanovic, Phys. Rev. D 27, 1601 (1983); F. Del. Aguila and L. Ibanez, Nucl. Phys. B177, 60 (1981).
  21. S. Weinberg, Phys. Lett. 91B, 51 (1980); L. Hall, Nucl. Phys. B178, 75 (1981).

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Phys. Rev. D 50, 2192– Published 1 August, 1994
  • Received 22 February 1994

© 1994 American Physical Society

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