Abstract
We calculate direct CP-violating rate asymmetries in chargedB→PP andB→VP decays arising from the interference of amplitudes with different strong and CKM phases. The perturbative strong phases develop at order α s from absorptive parts of one-loop matrix elements of the next-to-leading logarithm corrected effective Hamiltonian. CPT constraints are maintained. Based on this model, we find that partial rate asymmetries between charge conjugateB ± decays can be as high as 20% for certain channels with branching ratios in the 10−6 range. Because the\(c\bar c\) threshold lies so close to the physical momentum scale, the asymmetries depend sensitively on the model assumptions used to evaluate the imaginary parts of the matrix elements, in particular, on the internal momentum transfer. The charge asymmetries of partial rates would provide unambiguous evidence for direct CP violation.
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References
CP Violation, Editor C. Jarlskog, Advanced Series on Directions in High Energy Physics, Vol. 3, World Scientific, Singapore, New Jersey, London, Hong Kong, 1989.
J.H. Christenson, J.W. Cronin, V.L. Fitch, R. Turlay, Phys. Rev. Lett. 13 (1964) 138.
I.I. Bigi et al. in CP Violation, Editor C. Jarlskog, Advanced Series on Directions in High Energy Physics, Vol. 3, World Scientific, Singapore, New Jersey, London, Hong Kong, 1989 and the earlier literature quoted there.
G.D. Barr et al., NA31 Collaboration, Phys. Lett. B317 (1993) 233; L.K. Gibbons et al., E731 Collaboration, Phys. Rev. Lett. 70 (1993) 1203.
G. Buchalla, A.J. Buras, M.K. Harlander, Nucl. Phys. B349 (1991) 1, A.J. Buras et al., Nucl. Phys. B370 (1992) 69.
M. Bander, D. Silverman, A. Soni, Phys. Rev. Lett. 43 (1979) 242.
J.M. Gerard, W.S. Hou, Phys. Rev. Lett. 62 (1989) 855, Phys. Rev. D43 (1991) 2909.
G. Valencia, Phys. Rev. D39 (1989) 3339.
G. Kramer, W.F. Palmer, Phys. Rev. D45 (1992) 132, Phys. Lett. B279 (1992) 181, Phys. Rev. D46 (1992) 2969.
G. Kramer, W.F. Palmer, H. Simma, Nucl. Phys. B428 (1994) 77.
N. Cabibbo, Phys. Rev. Lett. 10 (1963) 531; M. Kobayashi, T. Maskawa, Prog. Theor. Phys. 49 (1973) 652.
M. Bauer, B. Stech, M. Wirbel, Z. Phys. C34 (1987) 103, ibid C29 (1985) 637.
S.J. Brodsky, P. Lepage, Phys. Lett. B87 (1979) 359 and Phys. Rev. D22 (1980) 2157; A. Szczepaniak, E.M. Henley, S.J. Brodsky, Phys. Lett. B243 (1990) 287.
H. Simma, D. Wyler, Phys. Lett. B272 (1991) 395.
R. Fleischer, Z. Phys. C58 (1993) 483.
A. Buras et al., Nucl. Phys. B370 (1992) 69.
J.M. Gerard, W.S. Hou, Phys. Rev. D43 (1991) 2909; H. Simma, G. Eilam, D. Wyler, Nucl. Phys. B352 (1991) 367.
M.A. Shifman, A.I. Vainshtein, V.I. Zakharov, Nucl. Phys. B120 (1977) 316, Sov. Phys. JETP 45 (1977) 670, F. Gilman, M. Wise, Phys. Rev. D20 (1979) 2392, W. Ponce, Phys. Rev. D23 (1981) 1134.
G. Altarelli in Proceedings of QCD 20 Years Later, edited by P.M. Zerwas and H.A. Kastrup, Aachen, June 9–13, 1992 World Scientific, Singapore, New Jersey, London, Hong Kong, 1993.
D. Fakirov, B. Stech, Nucl. Phys. B133 (1978) 315, N. Cabibbo, L. Maiani, Phys. Lett. 73B (1978) 418 and earlier references given there.
M.S. Alam et al., CLEO Collaboration, Phys. Rev. D50 (1994) 43
H. Albrecht et al., ARGUS Collaboration, Z. Phys. C48 (1990) 543, D. Bortoletto et. al., CLEO Collaboration, Phys. Rev. D45 (1992) 21.
A.J. Buras, MPI preprint, MPI-PhT/94-60.
A.J. Buras, J.M. Gerard, R. Rückl, Nucl. Phys. B268 (1986) 16; W.A. Bardeen, A.J. Buras, J.M. Gerard, Phys. Lett. B180 (1980) 133.
B. Blok, M. Shifman, Sov. Journ. Nucl. Phys. 45 (1987) 135, 301, 522.
N.G. Deshpande, J. Trampetic, Phys. Rev. D41 (1990) 2926.
M. Schmidtler, K. Schubert, Z. Phys. C53 (1992) 347.
L. Wolfenstein, Phys. Rev. Lett. 51 (1983) 1945.
A. Ali, D. London in ECFA Workshop on a EuropeanB-Meson Factory,B Physics Working Group Report. Editors R. Aleksan (Saclay) and A. Ali (DESY), ECFA 93/151, DESY 93-053, p. 42–68; A. Ali, D. London, CERN-TH 7398/94, August 1994, Z. Phys. C (to be published).
C. Greub, D. Wyler, Phys. Lett. B295 (1992) 293.
G. Kramer, T. Mannel, W.F. Palmer, Z. Phys. C55 (1992) 497.
R. Fleischer, Z. Phys. C62 (1994) 81.
D. Du, Z. Xing, preprint, Institute of High Energy Physics, Beijing.
D. Du, Z. Xing, Phys. Rev. D48 (1993) 4155.
D. Du, Z. Xing, Phys. Lett. B280 (1992) 292.
J. Gronberg et al., CLEO Collaboration, preprint, CLEO CONF 94-3, July 18, 1994.
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Supported in part by the US Department of Energy under contract DOE/ER/01545-605
Supported by Bundesministerium für Forschung und Technologie, 056HH93P(5), Bonn, Germany and EEC Program “Human Capital and Mobility” Network “Physics at High Energy Colliders” CHRX-CT93-0357 (DG 12 COMA)
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Kramer, G., Palmer, W.F. & Simma, H. CP violation and strong phases from penguins in B±→PP and B±→VP decays. Z. Phys. C - Particles and Fields 66, 429–437 (1995). https://doi.org/10.1007/BF01556369
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DOI: https://doi.org/10.1007/BF01556369