Abstract.
We analyze the \(B^0 \to a^\pm_0 \pi^\mp\) and B –,0 → f 0 K –,0 decays and show that a consistent phenomenological picture can be obtained within the factorization approximation. In this approach the O 6 operator provides the dominant contributions to the suppressed channel \(B^0 \to a^ + _0 \pi^-\). An estimate of the annihilation form factor using perturbative QCD indicates that this contribution is not negligible, moreover interference with other penguin contributions includes a free parameter since the phase of the annihilation amplitude is not determined. Assumptions based on SU(2) isospin symmetry provide relations between different B decays involving one scalar and one pseudoscalar meson.
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P. Ball et al. , hep-ph/0003238, http:/ lhcb.web.cern.ch lhcb; K. Anikeev et al. , hep-ph/0201071, http:/ www-btev.fnal.gov; http/ www.hera-b.desy.de; A.G. Akeroyd et al. , hep-ex/0406071; I.I. Bigi, A.I. Sanda, hep-ph/0401003
S. Eidelman et al. [Particle Data Group Collaboration], Phys. Lett. B 592, 1 (2004) pdg.lbl.gov
B. Aubert et al. [BABAR Collaboration], hep-ex/0408095; hep-ex/0406040; A. Garmash et al. [Belle Collaboration], Phys. Rev. D 69, 012001 (2004) [hep-ex/0307082]; S. Laplace [BABAR Collaboration], hep-ex/0309049; K. Abe et al. [Belle Collaboration], Phys. Rev. D 65, 092005 (2002) [hep-ex/0201007]
B. Aubert et al. [BABAR Collaboration], hep-ex/0407013; J.G. Smith, hep-ex/0406063; B. Aubert et al. [BABAR Collaboration], hep-ex/0107075
S. Laplace, V. Shelkov, Eur. Phys. J. C 22, 431 (2001) (hep-ph/0105252)
M. Suzuki, Phys. Rev. D 65, 097501 (2002)
See for example, S. Spanier, N.A. Tornqvist, Phys. Lett. B 592, 1 (2004); C. Amsler, N.A. Tornqvist Phys. Rep. 389, 61 (2004) and references therein
F.E. Close, N.A. Tornqvist, J. Phys. G 28, R249 (2002) [hep-ph/0204205]; A. Abdel-Rehim, D. Black, A.H. Fariborz, J. Schechter, AIP Conf. Proc. 687, 51 (2003); E. van Beveren, G. Rupp, Mod. Phys. Lett. A 19, 1949 (2004); M. Uehara hep-ph/0404221; M.R. Pennington, eConf C030614, 002 (2003) [hep-ph/0310186]; J.L. Lucio Martinez, M. Napsuciale, Phys. Lett. B 454, 365 (1999) [hep-ph/9903234]; J.L. Lucio Martinez, J. Pestieau, Phys. Rev. D 42, 3253 (1990); N.N. Achasov, V.N. Ivanchenko, Nucl. Phys. B 315, 465 (1989); F.E. Close, N. Isgur, S. Kumano, Nucl. Phys. B 389, 513 (1993); V.V. Anisovich, A.V. Sarantsev, Eur. Phys. J. A 16, 229 (2003) [hep-ph/0204328]; F. De Fazio, M.R. Pennington, Phys. Lett. B 521, 15 (2001) [hep-ph/0104289]
R. Akhmetshin et al. [CMD-2 Collaboration], Phys. Lett. B 462, 380 (1999) [hep-ex/9907006]; V.M. Aulchenko et al. [SND Collaboration], Phys. Lett. B 440, 442 (1998) [hep-ex/9807016]; M.N. Achasov et al. , Phys. Lett. B 485, 349 (2000) [hep-ex/0005017]; J.E. Augustin et al. [DM2 Collaboration], Nucl. Phys. B 320, 1 (1989)
E.M. Aitala et al. [E791 Collaboration], Phys. Rev. Lett. 89, 121801 (2002) [hep-ex/0204018]; M. Ishida, S. Ishida, T. Komada, S.I. Matsumoto, Phys. Lett. B 518, 47 (2001); H. Muramatsu et al. [CLEO Collaboration], Phys. Rev. Lett. 89, 251802 (2002) [Erratum 90, 059901 (2003)] [hep-ex/0207067]
D.V. Bugg, Phys. Lett. B 572, 1 (2003) [Erratum B 595, 556 (2004)]; G. Colangelo, J. Gasser, H. Leutwyler, Nucl. Phys. B 603, 125 (2001) [hep-ph/0103088]; R. Escribano, A. Gallegos, J.L. Lucio M, G. Moreno, J. Pestieau, Eur. Phys. J. C 28, 107 (2003) [hep-ph/0204338]; A. Gallegos, J.L. Lucio M., J. Pestieau, Phys. Rev. D 69, 074033 (2004) [hep-ph/0311133]
J.A. Oller, E. Oset, J.R. Pelaez, Phys. Rev. D 59, 074001 (1999) [Erratum D 60, 099906 (1999)] [hep-ph/9804209]; J.A. Oller, Nucl. Phys. A 727, 353 (2003) [hep-ph/0306031]
V. Chernyak, Phys. Lett. B 509, 273 (2001) [hep-ph/0102217]; A.C. Katoch, R.C. Verma, Int. J. Mod. Phys. A 11, 129 (1996)
See for example, T.V. Brito, F.S. Navarra, M. Nielsen, M.E. Bracco, hep-ph/0411233; A. Gokalp, Y. Sarac, O. Yilmaz, hep-ph/0410380; H.G. Dosch, E.M. Ferreira, F.S. Navarra, M. Nielsen, Phys. Rev. D 65, 114002 (2002) [hep-ph/0203225]; A. Ali, V.M. Braun, H. Simma, Z. Phys. C 63, 437 (1994) [hep-ph/9401277]; V.M. Braun, A.V. Kolesnichenko, Phys. Lett. B 175, 485 (1986) [Sov. J. Nucl. Phys. 44, 756 (1986)
P. Minkowski, W. Ochs, hep-ph/0404194; hep-ph/0304144; Nucl. Phys. Proc. Suppl. 121, 123, (2003) [hep-ph/0209225]; Nucl. Phys. Proc. Suppl. 121, 119 (2003) [hep-ph/0209223]; Eur. Phys. J. C 9, 283 (1999) [hep-ph/9811518]; E. Klempt, B.C. Metsch, C.R. Munz, H.R. Petry, Phys. Lett. B 361, 160 (1995) [hep-ph/9507449]; E. Klempt, hep-ex/0101031; V.V. Anisovich, A.V. Sarantsev, Eur. Phys. J. A 16, 229 (2003) [hep-ph/0204328]
C.H. Chen, Phys. Rev. D 67, 094011 (2003) [hep-ph/0302059]; D 67, 014012 (2003) [hep-ph/0210028]; H.Y. Cheng, Phys. Rev. D 67, 034024 (2003) [hep-ph/0212117]
A. Ali, G. Kramer, C.D. Lu, Phys. Rev. D 58, 094009 (1998) [hep-ph/9804363]; A. Ali, C. Greub, Phys. Rev. D 57, 2996 (1998) [hep-ph/9707251]
M. Beneke, G. Buchalla, M. Neubert, C.T. Sachrajda, Nucl. Phys. B 606, 245 (2001) [hep-ph/0104110]; G. Buchalla, A.J. Buras, M.E. Lautenbacher, Rev. Mod. Phys. 68, 1125 (1996) [hep-ph/9512380]
Y.H. Chen, H.Y. Cheng, B. Tseng, K.C. Yang, Phys. Rev. D 60, 094014 (1999) [hep-ph/9903453]
Y.Y. Keum, H. n. Li, Phys. Rev. D 63, 074006 (2001) [hep-ph/0006001]; Y.Y. Keum, H.N. Li, A.I. Sanda, Phys. Rev. D 63, 054008 (2001) [hep-ph/0004173]; Y.Y. Keum, A.I. Sanda, Phys. Rev. D 67, 054009 (2003) [hep-ph/0209014]; Y.Y. Keum, H. n. Li, A.I. Sanda, Phys. Lett. B 504, 6 (2001) [hep-ph/0004004]
C.D. Lu, K. Ukai, M.Z. Yang, Phys. Rev. D 63, 074009 (2001) [hep-ph/0004213]; C.D. Lu, M.Z. Yang, Eur. Phys. J. C 23, 275 (2002) [hep-ph/0011238]; C.D. Lu, D.X. Zhang, Phys. Lett. B 400, 188 (1997) [hep-ph/9703439]
M. Guagnelli, F. Palombi, R. Petronzio, N. Tantalo, Nucl. Phys. Proc. Suppl. 119, 616 (2003) [hep-lat/0209113]; D. Becirevic, hep-ph/0310072
K. Maltman, Phys. Lett. B 462, 14 (1999) [hep-ph/9906267]; Y. Meurice, Phys. Rev. D 36, 2780 (1987); Mod. Phys. Lett. A 2, 699 (1987); C.M. Shakin, H. Wang, Phys. Rev. D 63, 074017 (2001); F. De Fazio, M.R. Pennington, Phys. Lett. B 521, 15 (2001) [hep-ph/0104289]
A. Abada, D. Becirevic, P. Boucaud, J.P. Leroy, V. Lubicz, F. Mescia, Nucl. Phys. B 619, 565 (2001) [hep-lat/0011065]; D. Becirevic, S. Prelovsek, J. Zupan, Phys. Rev. D 68, 074003 (2003) [hep-lat/0305001]; D. Bećrević, S. Prelov\(\check{\rm s}\)ek, Ju. Zupan, Phys. Rev. D 67, 054010 (2003); ICHEP-02, Amsterdam 2002; P. Ball, R. Zwicky, hep-ph/0406261
G.P. Lepage, S.J. Brodsky, Phys. Rev. D 22, 2157 (1980); G.R. Farrar, D.R. Jackson, Phys. Rev. Lett. 43, 246 (1979); S. Brodsky, Lett. Nuov. Cim. 7, 719 (1973); S.J. Brodsky, G.R. Farrar, Phys. Rev. D 11, 1309 (1975); Phys. Rev. Lett. 31, 1153 (1973)
D. s. Du, D. Yang, G. Zhu, Phys. Rev. D 60, 054015 (1999)
M. Diehl, G. Hiller, JHEP 0106, 067 (2001) [hep-ph/0105194]
A. Deandrea, A.D. Polosa, Phys. Rev. Lett. 86, 216 (2001) [hep-ph/0008084] N. Paver, Riazuddin, hep-ph/0107330
L. Maiani, F. Piccinini, A.D. Polosa, V. Riquer, hep-ph/0407017
D. Black, A.H. Fariborz, F. Sannino, J. Schechter, Phys. Rev. D 59, 074026 (1999) [hep-ph/9808415]
M. Napsuciale, S. Rodriguez, Int. J. Mod. Phys. A 16, 3011 (2001) [hep-ph/0204149]
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Delepine, D., M., J.L.L. & Ramírez, C.A. Annihilation contribution and B → a 0π, f 0 K decays. Eur. Phys. J. C 45, 693–700 (2006). https://doi.org/10.1140/epjc/s2005-02432-5
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DOI: https://doi.org/10.1140/epjc/s2005-02432-5