How large can the SM contribution to CP violation in \( {D_0} - {\overline{D}_0} \) mixing be? (English) Zbl 1271.81192
Summary: We reconsider the leading HQE contributions to the absorptive part of the mixing amplitude of neutral \(D\) mesons by taking also {\(\alpha_s\)} corrections and subleading 1/\(m_c\) corrections into account. We show that these contributions to \(\Gamma_{12}\) do not vanish in the exact SU(3)\({}_F\) limit and they also can have a large phase. Moreover, we give an example of a new physics model that can enhance these leading HQE terms to \(\Gamma_{12}\), which are orders of magnitude lower than the current experimental expectation, by one to two orders of magnitude.
MSC:
| 81V22 | Unified quantum theories |
| 81V05 | Strong interaction, including quantum chromodynamics |
| 81V35 | Nuclear physics |
References:
| [1] | M. Gell-Mann and A. Pais, Behavior of neutral particles under charge conjugation, Phys. Rev.97 (1955) 1387 [SPIRES]. · doi:10.1103/PhysRev.97.1387 |
| [2] | J.H. Christenson, J.W. Cronin, V.L. Fitch and R. Turlay, Evidence for the 2π decay of the k20meson, Phys. Rev. Lett.13 (1964) 138 [SPIRES]. · doi:10.1103/PhysRevLett.13.138 |
| [3] | M.K. Gaillard and B.W. Lee, Rare decay modes of the K-mesons in gauge theories, Phys. Rev.D 10 (1974) 897 [SPIRES]. |
| [4] | E598 collaboration, J.J. Aubert et al., Experimental observation of a heavy particle J, Phys. Rev. Lett.33 (1974) 1404 [SPIRES]. · doi:10.1103/PhysRevLett.33.1404 |
| [5] | SLAC-SP-017 collaboration, J.E. Augustin et al., Discovery of a narrow resonance in e+e−annihilation, Phys. Rev. Lett.33 (1974) 1406 [SPIRES]. · doi:10.1103/PhysRevLett.33.1406 |
| [6] | ARGUS collaboration, H. Albrecht et al., Observation of \[{B^0} - {\overline B^0}\] mixing, Phys. Lett.B 192 (1987) 245 [SPIRES]. |
| [7] | UA1 collaboration, C. Albajar et al., Search for \[{B^0} - {\overline B^0}\] oscillations at the CERN proton-anti-proton collider. 2, Phys. Lett.B 186 (1987) 247 [Erratum ibid.B 197 (1987) 565] [SPIRES]. |
| [8] | D0 collaboration, S. Abachi et al., Observation of the top quark, Phys. Rev. Lett.74 (1995) 2632 [hep-ex/9503003] [SPIRES]. · doi:10.1103/PhysRevLett.74.2632 |
| [9] | CDF collaboration, F. Abe et al., Observation of top quark production in \[\overline p p\] collisions, Phys. Rev. Lett.74 (1995) 2626 [hep-ex/9503002] [SPIRES]. · doi:10.1103/PhysRevLett.74.2626 |
| [10] | CDF collaboration, T. Aaltonen et al., First flavor-tagged determination of bounds on mixing-induced CP-violation in Bs0 → J/ψϕ decays, Phys. Rev. Lett.100 (2008) 161802 [arXiv:0712.2397] [SPIRES]. · doi:10.1103/PhysRevLett.100.161802 |
| [11] | D0 collaboration, V.M. Abazov et al., Measurement of Bs0mixing parameters from the flavor-tagged decay Bs0 → J/ψϕ, Phys. Rev. Lett.101 (2008) 241801 [arXiv:0802.2255] [SPIRES]. · doi:10.1103/PhysRevLett.101.241801 |
| [12] | CKMfitter Group collaboration, J. Charles et al., CP violation and the CKM matrix: assessing the impact of the asymmetric B factories, Eur. Phys. J.C 41 (2005) 1 [hep-ph/0406184] [SPIRES]. · doi:10.1140/epjc/s2005-02169-1 |
| [13] | A. Lenz and U. Nierste, Theoretical update of \[{B_s} - {\overline B_s}\] mixing, JHEP06 (2007) 072 [hep-ph/0612167] [SPIRES]. · doi:10.1088/1126-6708/2007/06/072 |
| [14] | M. Bona et al., New physics from flavour, arXiv:0906.0953 [SPIRES]. |
| [15] | M. Kobayashi and T. Maskawa, CP violation in the renormalizable theory of weak interaction, Prog. Theor. Phys.49 (1973) 652 [SPIRES]. · doi:10.1143/PTP.49.652 |
| [16] | S.L. Glashow, J. Iliopoulos and L. Maiani, Weak interactions with lepton-hadron symmetry, Phys. Rev.D 2 (1970) 1285 [SPIRES]. |
| [17] | Belle collaboration, M. Staric et al., Evidence for \[{D^0} - {\overline D^0}\] mixing, Phys. Rev. Lett.98 (2007) 211803 [hep-ex/0703036] [SPIRES]. · doi:10.1103/PhysRevLett.98.211803 |
| [18] | BELLE collaboration, K. Abe et al., Measurement of \[{D^0} - {\overline D^0}\] mixing in D0 → Ksπ+π−decays, Phys. Rev. Lett.99 (2007) 131803 [arXiv:0704.1000] [SPIRES]. · doi:10.1103/PhysRevLett.99.227206 |
| [19] | BABAR collaboration, B. Aubert et al., Evidence for \[{D^0} - {\overline D^0}\] mixing, Phys. Rev. Lett.98 (2007) 211802 [hep-ex/0703020] [SPIRES]. · doi:10.1103/PhysRevLett.98.211802 |
| [20] | CDF collaboration, T. Aaltonen et al., Evidence for \[{D^0} - {\overline D^0}\] mixing using the CDF II detector, Phys. Rev. Lett.100 (2008) 121802 [arXiv:0712.1567] [SPIRES]. · doi:10.1103/PhysRevLett.100.121802 |
| [21] | Heavy Flavor Averaging Group collaboration, E. Barberio et al., Averages of b-hadron and c-hadron properties at the end of 2007, arXiv:0808.1297 [SPIRES]. |
| [22] | M.A. Shifman and M.B. Voloshin, Preasymptotic effects in inclusive weak decays of charmed particles, Sov. J. Nucl. Phys.41 (1985) 120 [SPIRES]. |
| [23] | M.A. Shifman and M.B. Voloshin, Hierarchy of lifetimes of charmed and beautiful hadrons, Sov. Phys. JETP64 (1986) 698 [Zh. Eksp. Teor. Fiz.91 (1986) 1180] [SPIRES]. |
| [24] | I.I.Y. Bigi, N.G. Uraltsev and A.I. Vainshtein, Nonperturbative corrections to inclusive beauty and charm decays: qCD versus phenomenological models, Phys. Lett.B 293 (1992) 430 [Erratum ibid.B 297 (1993) 477] [hep-ph/9207214] [SPIRES]. |
| [25] | A. Lenz, Mixing and lifetimes of b-hadrons, AIP Conf. Proc.1026 (2008) 36 [arXiv:0802.0977] [SPIRES]. · doi:10.1063/1.2965074 |
| [26] | H. Georgi, \[ D - \overline D\] mixing in heavy quark effective field theory, Phys. Lett.B 297 (1992) 353 [hep-ph/9209291] [SPIRES]. |
| [27] | T. Ohl, G. Ricciardi and E.H. Simmons, \[ D - \overline D\] mixing in heavy quark effective field theory: the sequel, Nucl. Phys.B 403 (1993) 605 [hep-ph/9301212] [SPIRES]. · doi:10.1016/0550-3213(93)90364-U |
| [28] | I.I.Y. Bigi and N.G. Uraltsev, \[ {D^0} - {\overline D^0}\] oscillations as a probe of quark-hadron duality, Nucl. Phys.B 592 (2001) 92 [hep-ph/0005089] [SPIRES]. · doi:10.1016/S0550-3213(00)00604-0 |
| [29] | E. Golowich, S. Pakvasa and A.A. Petrov, New physics contributions to the lifetime difference in \[{D^0} - {\overline D^0}\] mixing, Phys. Rev. Lett.98 (2007) 181801 [hep-ph/0610039] [SPIRES]. · doi:10.1103/PhysRevLett.98.181801 |
| [30] | A.F. Falk, Y. Grossman, Z. Ligeti, Y. Nir and A.A. Petrov, The \[{D^0} - {\overline D^0}\] mass difference from a dispersion relation, Phys. Rev.D 69 (2004) 114021 [hep-ph/0402204] [SPIRES]. |
| [31] | A.F. Falk, Y. Grossman, Z. Ligeti and A.A. Petrov, SU(3) breaking and \[{D^0} - {\overline D^0}\] mixing, Phys. Rev.D 65 (2002) 054034 [hep-ph/0110317] [SPIRES]. |
| [32] | M. Beneke, G. Buchalla, C. Greub, A. Lenz and U. Nierste, Next-to-leading order QCD corrections to the lifetime difference of B/s mesons, Phys. Lett.B 459 (1999) 631 [hep-ph/9808385] [SPIRES]. |
| [33] | M. Beneke, G. Buchalla, A. Lenz and U. Nierste, CP asymmetry in flavour-specific B decays beyond leading logarithms, Phys. Lett.B 576 (2003) 173 [hep-ph/0307344] [SPIRES]. |
| [34] | M. Ciuchini, E. Franco, V. Lubicz, F. Mescia and C. Tarantino, Lifetime differences and CP-violation parameters of neutral B mesons at the next-to-leading order in QCD, JHEP08 (2003) 031 [hep-ph/0308029] [SPIRES]. · doi:10.1088/1126-6708/2003/08/031 |
| [35] | M. Beneke, G. Buchalla and I. Dunietz, Width difference in the \[{B_s} - {\overline B_s}\] system, Phys. Rev.D 54 (1996) 4419 [hep-ph/9605259] [SPIRES]. |
| [36] | A.S. Dighe, T. Hurth, C.S. Kim and T. Yoshikawa, Measurement of the lifetime difference of B/d mesons: possible and worthwhile?, Nucl. Phys.B 624 (2002) 377 [hep-ph/0109088] [SPIRES]. · doi:10.1016/S0550-3213(01)00655-1 |
| [37] | E. Golowich and A.A. Petrov, Short distance analysis of \[{D^0} - {\overline D^0}\] mixing, Phys. Lett.B 625 (2005) 53 [hep-ph/0506185] [SPIRES]. |
| [38] | M. Beneke, G. Buchalla, C. Greub, A. Lenz and U. Nierste, The B+-Bd0lifetime difference beyond leading logarithms, Nucl. Phys.B 639 (2002) 389 [hep-ph/0202106] [SPIRES]. · doi:10.1016/S0550-3213(02)00561-8 |
| [39] | V. Lubicz and C. Tarantino, Flavour physics and Lattice QCD: averages of lattice inputs for the Unitarity Triangle Analysis, Nuovo Cim.123B (2008) 674 [arXiv:0807.4605] [SPIRES]. |
| [40] | D. Becirevic, V. Giménez, G. Martinelli, M. Papinutto and J. Reyes, B-parameters of the complete set of matrix elements of ΔB = 2 operators from the lattice, JHEP04 (2002) 025 [hep-lat/0110091] [SPIRES]. · doi:10.1088/1126-6708/2002/04/025 |
| [41] | M. Gorbahn, S. Jager, U. Nierste and S. Trine, The supersymmetric Higgs sector and B−Bbar mixing for large tan β, arXiv:0901.2065 [SPIRES]. |
| [42] | M. Bobrowski, A. Lenz, J. Riedl and J. Rohrwild, How much space is left for a new family of fermions?, Phys. Rev.D 79 (2009) 113006 [arXiv:0902.4883] [SPIRES]. |
| [43] | CKMfitter Group collaboration, J. Charles et al., CP violation and the CKM matrix: assessing the impact of the asymmetric B factories, Eur. Phys. J.C 41 (2005) 1 [hep-ph/0406184] [SPIRES]. · doi:10.1140/epjc/s2005-02169-1 |
| [44] | M. Bobrowski, V.M. Braun, A. Lenz, U. Nierste and T. Prill in preparation. |
| [45] | Y. Grossman, The B/s width difference beyond the standard model, Phys. Lett.B 380 (1996) 99 [hep-ph/9603244] [SPIRES]. |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
