Radiative kaon decays <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi>K</mi></mrow><mrow><mo>±</mo></mrow></msup></mrow><mo>→</mo><mrow><msup><mrow><mi>π</mi></mrow><mrow><mo>±</mo></mrow></msup></mrow><mrow><msup><mrow><mi>π</mi></mrow><mrow><mn>0</mn></mrow></msup></mrow><mi>γ</mi></math></span> and direct <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>CP</mi></math></span> violation

Hai-Yang Cheng

doi:10.1103/PhysRevD.49.3771

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Radiative kaon decays $K^{\pm} \to π^{\pm} π^{0} γ$ and direct $CP$ violation

Hai-Yang Cheng

Institute of Physics, Academia Sinica, Taipei, Taiwan 11529, Republic of China
Institute for Theoretical Physics, State University of New York, Stony Brook, New York 11794

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Phys. Rev. D 49, 3771 – Published 1 April, 1994

DOI: https://doi.org/10.1103/PhysRevD.49.3771

Abstract

It is stressed that a measurement of the electric dipole amplitude for direct photon emission in $K^{\pm} \to π^{\pm} π^{0} γ$ decays through its interference with inner bremsstrahlung is important for differentiating among various models. The effects of amplitude $CP$ violation in the radiative decays of the charged kaon are analyzed in the standard model in conjunction with the large- $N_{c}$ approach. We point out that gluon and electromagnetic penguin contributions to the $CP$ -violating asymmetry between the Dalitz plots of $K^{\pm} \to π^{\pm} π^{0} γ$ are of equal weight. The magnitude of $CP$ asymmetry ranges from 2× $10^{- 6}$ to 1× $10^{- 5}$ when the photon energy in the kaon rest frame varies from 50 MeV to 170 MeV.

References (24)

H. Y. Cheng, Phys. Lett. B 315, 170 (1993)
C. O. Dib and R. D. Peccei, Phys. Lett. B 249, 325 (1990)
G. D'Ambrosio, M. Miragliuodo, and P. Santorelli, Report No. LNF-92/066, 1992 (unpublished)
S. V. Pepper and Y. Ueda, Nuovo Cimento 33, 1614 (1964) S. Oneda, Y. S. Kim, and D. Korff, Phys. Rev. 136, B1064 (1964) M. Moshe and P. Singer, Phys. Lett. 51B, 367 (1974)
J. L. Lucio M., Phys. Rev. D 24, 2457 (1981)
A. A. Bel'kov, Yu. L. Kalinowskii, V. N. Pervushin, and N. A. Sarikov, Yad. Fiz. 44, 690 (1986) [Sov. J. Nucl. Phys. 44, 448 (1986)]
M. McGuigan and A. I. Sanda, Phys. Rev. D 36, 1413 (1987)
H. Y. Cheng, S. C. Lee, and H. L. Yu, Z. Phys. C 41, 223 (1988)
S. Fajfer, Z. Phys. C 45, 293 (1989)
H. Y. Cheng, Phys. Rev. D 42, 72 (1990)
G. Ecker, H. Neufeld, and A. Pich, Phys. Lett. B 278, 337 (1992)
J. Bijnens, G. Ecker, and A. Pich, Phys. Lett. B 286, 341 (1992)
A. N. Ivanov, M. Nagy, and N. I. Troitskaya, Mod. Phys. Lett. A 8, 1599 (1993)
A. A. Bel'kov, A. V. Lanyov, and A. Schaale, Report No. DESY 93-060, 1993 (unpublished)
R. J. Abrams et al., Phys. Rev. Lett. 29, 1118 (1972)
K. M. Smith et al., Nucl. Phys. B109, 173 (1976)
V. N. Bolotov et al., Yad. Fiz. 45, 1652 (1987) [Sov. J. Nucl. Phys. 45, 1023 (1987)]
G. Ecker, A. Pich, and E. de Rafael, Nucl. Phys. B291, 692 (1987) Phys. Lett. B 189, 363 (1987) Nucl. Phys. B303, 665 (1988)
H. Y. Cheng, Int. J. Mod. Phys. A 4, 495 (1989)
C. Bruno and J. Prades, Z. Phys. C 57, 585 (1993)
G. Ecker, J. Kambor, and D. Wyler, Nucl. Phys. B394, 101 (1993)
V. G. Soloviev and M. V. Terentev, Pis'ma Zh. Eksp. Teor. Fiz. 2, 336 (1965) [JETP Lett. 2, 213 (1965)] D. Cline, Nuovo Cimento 36, 1055 (1965) Phys. Rev. Lett. 16, 367 (1966) G. Costa and P. K. Kabir, ibid. 18, 429 (1967) Nuovo Cimento 41A, 564 (1967) S. Barshay, Phys. Rev. Lett. 18, 515 (1967) N. Christ, Phys. Rev. 159, 1292 (1967)
G. Buchalla, A. J. Buras, and M. K. Harlander, Nucl. Phys. B337, 313 (1990)
L. L. Chau and W. Y. Keung, Phys. Rev. Lett. 53, 1802 (1984)

[c1] H. Y. Cheng, Phys. Lett. B 315, 170 (1993)

[c2] C. O. Dib and R. D. Peccei, Phys. Lett. B 249, 325 (1990)

[c3] G. D'Ambrosio, M. Miragliuodo, and P. Santorelli, Report No. LNF-92/066, 1992 (unpublished)

[c4] S. V. Pepper and Y. Ueda, Nuovo Cimento 33, 1614 (1964) S. Oneda, Y. S. Kim, and D. Korff, Phys. Rev. 136, B1064 (1964) M. Moshe and P. Singer, Phys. Lett. 51B, 367 (1974)

[c5] J. L. Lucio M., Phys. Rev. D 24, 2457 (1981)

[c6] A. A. Bel'kov, Yu. L. Kalinowskii, V. N. Pervushin, and N. A. Sarikov, Yad. Fiz. 44, 690 (1986) [Sov. J. Nucl. Phys. 44, 448 (1986)]

[c7] M. McGuigan and A. I. Sanda, Phys. Rev. D 36, 1413 (1987)

[c8] H. Y. Cheng, S. C. Lee, and H. L. Yu, Z. Phys. C 41, 223 (1988)

[c9] S. Fajfer, Z. Phys. C 45, 293 (1989)

[c10] H. Y. Cheng, Phys. Rev. D 42, 72 (1990)

[c11] G. Ecker, H. Neufeld, and A. Pich, Phys. Lett. B 278, 337 (1992)

[c12] J. Bijnens, G. Ecker, and A. Pich, Phys. Lett. B 286, 341 (1992)

[c13] A. N. Ivanov, M. Nagy, and N. I. Troitskaya, Mod. Phys. Lett. A 8, 1599 (1993)

[c14] A. A. Bel'kov, A. V. Lanyov, and A. Schaale, Report No. DESY 93-060, 1993 (unpublished)

[c15] R. J. Abrams et al., Phys. Rev. Lett. 29, 1118 (1972)

[c16] K. M. Smith et al., Nucl. Phys. B109, 173 (1976)

[c17] V. N. Bolotov et al., Yad. Fiz. 45, 1652 (1987) [Sov. J. Nucl. Phys. 45, 1023 (1987)]

[c18] G. Ecker, A. Pich, and E. de Rafael, Nucl. Phys. B291, 692 (1987) Phys. Lett. B 189, 363 (1987) Nucl. Phys. B303, 665 (1988)

[c19] H. Y. Cheng, Int. J. Mod. Phys. A 4, 495 (1989)

[c20] C. Bruno and J. Prades, Z. Phys. C 57, 585 (1993)

[c21] G. Ecker, J. Kambor, and D. Wyler, Nucl. Phys. B394, 101 (1993)

[c22] V. G. Soloviev and M. V. Terentev, Pis'ma Zh. Eksp. Teor. Fiz. 2, 336 (1965) [JETP Lett. 2, 213 (1965)] D. Cline, Nuovo Cimento 36, 1055 (1965) Phys. Rev. Lett. 16, 367 (1966) G. Costa and P. K. Kabir, ibid. 18, 429 (1967) Nuovo Cimento 41A, 564 (1967) S. Barshay, Phys. Rev. Lett. 18, 515 (1967) N. Christ, Phys. Rev. 159, 1292 (1967)

[c23] G. Buchalla, A. J. Buras, and M. K. Harlander, Nucl. Phys. B337, 313 (1990)

[c24] L. L. Chau and W. Y. Keung, Phys. Rev. Lett. 53, 1802 (1984)

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Radiative kaon decays $K^{\pm} \to π^{\pm} π^{0} γ$ and direct $CP$ violation

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References (24)

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Radiative kaon decays K±→π±π0γ and direct CP violation

Abstract

References (24)

Radiative kaon decays $K^{\pm} \to π^{\pm} π^{0} γ$ and direct $CP$ violation