Abstract.
Motivated by recent experimental results and ongoing measurements, we review the chiral perturbation theory prediction for \(K_{\mathrm {L}}\to\pi^{\mp} e^{\pm} \nu_e\gamma\) decays. Special emphasis is given to the stability of the inner bremsstrahlung-dominated relative branching ratio versus the K e3 form factors, and on the separation of the structure-dependent amplitude in differential distributions over the phase space. For the structure-dependent terms, an assessment of the order p 6 corrections is given, in particular, a full next-to-leading order calculation of the axial component is performed. The experimental analysis of the photon energy spectrum is discussed, and other potentially useful distributions are introduced.
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References
F.E. Low, Phys. Rev. 110, 974 (1958)
H.W. Fearing, E. Fischbach, J. Smith, Phys. Rev. Lett. 24, 189 (1970)
H.W. Fearing, E. Fischbach, J. Smith, Phys. Rev. D 2, 542 (1970)
M.G. Doncel, Phys. Lett. B 32, 623 (1970)
J. Bijnens, G. Ecker, J. Gasser, Nucl. Phys. B 396, 81 (1993) [hep-ph/9209261]
L. Maiani, G. Pancheri, N. Paver, The second DAFNE physics handbook (INFN-LNF-Divisione Ricerca, SIS-Ufficio Pubblicazioni, Frascati (Roma) Italy, ISBN 88-86409-02-8)
S. Weinberg, Physica A 96, 327 (1979)
J. Gasser, H. Leutwyler, Ann. Phys. (New York) 158, 142 (1984); Nucl. Phys. B 250, 465 (1985)
S.L. Adler, Phys. Rev. 177, 2426 (1969); J.S. Bell, R. Jackiw, Nuovo Cim. A 60, 47 (1969); W.A. Bardeen, Phys. Rev. 184, 1848 (1969)
J. Wess, B. Zumino, Phys. Lett. B 37, 95 (1971); E. Witten, Nucl. Phys. B 223, 422 (1983)
F. Leber et al. , Phys. Lett. B 369, 69 (1996)
A. Alavi-Harati et al. [KTeV Collaboration], Phys. Rev. D 64, 112004 (2001) [hep-ex/0106062]
M. Veltri [for the NA48 Collaboration], hep-ex/0410032; A. Lai et al. [NA48 Collaboration], Phys. Lett. B 605, 247 (2005) [hep-ex/0411069]
T. Alexopoulos et al. [KTeV Collaboration], Phys. Rev. D 71, 012001 (2005) [hep-ex/0410070]
S. Eidelman et al. [Particle Data Group Collaboration], Phys. Lett. B 592, 1 (2004)
K.J. Peach et al. , Phys. Lett. B 35, 351 (1971)
Private communication from the NA48 Collaboration
V.F. Obraztsov, L.G. Landsberg, Nucl. Phys. Proc. Suppl. B 99, 257 (2001) [hep-ex/0011033]
G. D’Ambrosio, G. Ecker, G. Isidori, H. Neufeld, Phys. Lett. B 380, 165 (1996) [hep-ph/9603345]; Phys. Lett. B 466, 337 (1999) [hep-ph/9905420]
A.A. Poblaguev, Phys. Atom. Nucl. 62, 975 (1999) [Yad. Fiz. 62, 1042 (1999)]
B.R. Holstein, Phys. Rev. D 41, 2829 (1990)
J. Bijnens, G. Colangelo, G. Ecker, Phys. Lett. B 441, 437 (1998) [hep-ph/9808421]
J. Gasser, B. Kubis, work in progress
H. Leutwyler, M. Roos, Z. Phys. C 25, 91 (1984); J. Gasser, H. Leutwyler, Nucl. Phys. B 250, 517 (1985)
T. Alexopoulos et al. [KTeV Collaboration], Phys. Rev. D 70, 092007 (2004) [hep-ex/0406003]
J. Bijnens, P. Talavera, Nucl. Phys. B 669, 341 (2003) [hep-ph/0303103]
A. Lai et al. [NA48 Collaboration], Phys. Lett. B 604, 1 (2004) [hep-ex/0410065]
V. Cirigliano, M. Knecht, H. Neufeld, H. Rupertsberger, P. Talavera, Eur. Phys. J. C 23, 121 (2002) [hep-ph/0110153]; V. Cirigliano, H. Neufeld, H. Pichl, Eur. Phys. J. C 35, 53 (2004) [hep-ph/0401173]
V. Bytev, E. Kuraev, A. Baratt, J. Thompson, Eur. Phys. J. C 27, 57 (2003) [Erratum C 34, 523 (2004)] [hep-ph/0210049]
T.C. Andre, hep-ph/0406006
W.J. Marciano, A. Sirlin, Phys. Rev. Lett. 71, 3629 (1993)
T. Kinoshita, J. Math. Phys. 3, 650 (1962); T.D. Lee, M. Nauenberg, Phys. Rev. 133, B1549 (1964)
J. Bijnens, L. Girlanda, P. Talavera, Eur. Phys. J. C 23, 539 (2002) [hep-ph/0110400]
M. Bender et al. , Phys. Lett. B 418, 411 (1998)
V.V. Braguta, A.A. Likhoded, A.E. Chalov, Phys. Rev. D 65, 054038 (2002) [Phys. Atom. Nucl. 65, 1868 (2002), translated from YAFIA 65, 1920 (2002)] [hep-ph/0106147]; Phys. Rev. D 68, 094008 (2003) [hep-ph/0305067]
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Received: 9 December 2004, Published online: 21 February 2005
PACS:
13.20.Eb, 11.30.Rd, 12.39.Fe
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Gasser, J., Kubis, B., Paver, N. et al. Radiative K e3 decays revisited. Eur. Phys. J. C 40, 205–227 (2005). https://doi.org/10.1140/epjc/s2005-02123-3
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DOI: https://doi.org/10.1140/epjc/s2005-02123-3