Solution to the strong <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>CP</mi></math></span> problem without an axion

K. S. Babu; Rabindra N. Mohapatra

doi:10.1103/PhysRevD.41.1286

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Solution to the strong $CP$ problem without an axion

K. S. Babu and Rabindra N. Mohapatra

Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742

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Phys. Rev. D 41, 1286 – Published 15 February, 1990

DOI: https://doi.org/10.1103/PhysRevD.41.1286

Abstract

We present a solution to the strong $CP$ problem using softly broken parity invariance in the context of left-right-symmetric gauge models with a "seesaw" mechanism for quark masses. A distinguishing feature of the model is that the first nonvanishing contribution to $\bar{θ}$ arises only at the two-loop level, whereas the electric dipole moment of the neutron $d_{n}^{e}$ is generated at the one-loop level via weak $CP$ violation. For the $W_{R}$ mass at the TeV scale, we estimate $d_{e}^{n} \approx 10^{- 25} - 10^{- 26}$ ecm and $\bar{θ} \leq 10^{- 12}$ .

References (10)

J. E. Kim, Phys. Rep. 150, 1 (1987) H. Y. Cheng, ibid. 158, 1 (1988) R. D. Peccei, in CP-Violation, edited by C. Jarlskog (World Scientific, Singapore, 1989)
R. Peccei and H. Quinn, Phys. Rev. Lett. 38, 1440 (1977) S. Weinberg, ibid. 40, 223 (1978) F. Wilczek, ibid. 40, 279 (1978)
M. A. B. Beg and H. S. Tsao, Phys. Rev. Lett. 41, 278 (1978) R. N. Mohapatra and G. Senjanovic, Phys. Lett. 126B, 283 (1978) H. Georgi, Had. J. 1, 155 (1978) S. Barr and P. Langacker, Phys. Rev. Lett. 42, 1654 (1979) G. Segre and H. Weldon, ibid. 42, 1191 (1979) R. N. Mohapatra and D. Wyler, Phys. Lett. 89B, 181 (1980) A. Maseiro, R. N. Mohapatra, and R. D. Peccei, Nucl. Phys. B192, 66 (1981) A. Nelson, Phys. Lett. 136B, 387 (1983) S. Barr, Phys. Rev. D 30, 1805 (1984) S. Barr and A. Zee, Phys. Rev. Lett. 55, 2553 (1985)
J. Lui, C. Q. Geng, and J. N. Ng, Phys. Rev. Lett. 63, 589 (1989)
S. Rajpoot, Phys. Lett. B 191, 122 (1987) A. Davidson and K. Wali, Phys. Rev. Lett. 59, 393 (1987) D. Chang and R. N. Mohapatra, 58, 1600 (1987)
K. S. Babu and R. N. Mohapatra, Phys. Rev. Lett. 62, 1079 (1989)
J. C. Pati and A. Salam, Phys. Rev. D 10, 275 (1974) R. N. Mohapatra and J. C. Pati, ibid. 11, 566 (1975) ibid.11, 2558 (1975) G. Senjanovic and R. N. Mohapatra, ibid. 12, 1502 (1975)
R. N. Mohapatra and J. C. Pati, Phys. Rev. D 11, 2558 (1975)
J. Ellis and M. K. Gaillard, Nucl. Phys. B150, 141 (1979)
K. S. Babu and X. G. He, Mod. Phys. Lett. A 4, 61 (1989)

[c1] J. E. Kim, Phys. Rep. 150, 1 (1987) H. Y. Cheng, ibid. 158, 1 (1988) R. D. Peccei, in CP-Violation, edited by C. Jarlskog (World Scientific, Singapore, 1989)

[c2] R. Peccei and H. Quinn, Phys. Rev. Lett. 38, 1440 (1977) S. Weinberg, ibid. 40, 223 (1978) F. Wilczek, ibid. 40, 279 (1978)

[c3] M. A. B. Beg and H. S. Tsao, Phys. Rev. Lett. 41, 278 (1978) R. N. Mohapatra and G. Senjanovic, Phys. Lett. 126B, 283 (1978) H. Georgi, Had. J. 1, 155 (1978) S. Barr and P. Langacker, Phys. Rev. Lett. 42, 1654 (1979) G. Segre and H. Weldon, ibid. 42, 1191 (1979) R. N. Mohapatra and D. Wyler, Phys. Lett. 89B, 181 (1980) A. Maseiro, R. N. Mohapatra, and R. D. Peccei, Nucl. Phys. B192, 66 (1981) A. Nelson, Phys. Lett. 136B, 387 (1983) S. Barr, Phys. Rev. D 30, 1805 (1984) S. Barr and A. Zee, Phys. Rev. Lett. 55, 2553 (1985)

[c4] J. Lui, C. Q. Geng, and J. N. Ng, Phys. Rev. Lett. 63, 589 (1989)

[c5] S. Rajpoot, Phys. Lett. B 191, 122 (1987) A. Davidson and K. Wali, Phys. Rev. Lett. 59, 393 (1987) D. Chang and R. N. Mohapatra, 58, 1600 (1987)

[c6] K. S. Babu and R. N. Mohapatra, Phys. Rev. Lett. 62, 1079 (1989)

[c7] J. C. Pati and A. Salam, Phys. Rev. D 10, 275 (1974) R. N. Mohapatra and J. C. Pati, ibid. 11, 566 (1975) ibid.11, 2558 (1975) G. Senjanovic and R. N. Mohapatra, ibid. 12, 1502 (1975)

[c8] R. N. Mohapatra and J. C. Pati, Phys. Rev. D 11, 2558 (1975)

[c9] J. Ellis and M. K. Gaillard, Nucl. Phys. B150, 141 (1979)

[c10] K. S. Babu and X. G. He, Mod. Phys. Lett. A 4, 61 (1989)

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Solution to the strong $CP$ problem without an axion

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Solution to the strong CP problem without an axion

Abstract

References (10)

Solution to the strong $CP$ problem without an axion