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A consistent picture for large penguins in Dπ + π , K + K

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Abstract

A long-standing puzzle in charm physics is the large difference between the D 0K + K and D 0π + π decay rates. Recently, the LHCb and CDF collaborations reported a surprisingly large difference between the direct CP asymmetries, ΔA CP, in these two modes. We show that the two puzzles are naturally related in the Standard Model via s- and d-quark “penguin contractions”. Their sum gives rise to ΔA CP, while their difference contributes to the two branching ratios with opposite sign. Assuming nominal SU(3) breaking, we perform a U-spin based fit to the D 0K + π , π + K , π + π , K + K decay rates, which yields large penguin contractions that naturally explain ΔA CP. Expectations for the individual CP asymmetries are also discussed.

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References

  1. I. Hinchliffe and T.A. Kaeding, Nonleptonic two-body decays of D mesons in broken SU(3), Phys. Rev. D 54 (1996) 914 [hep-ph/9502275] [INSPIRE].

    ADS  Google Scholar 

  2. A. Ryd and A.A. Petrov, Hadronic D and D s meson decays, Rev. Mod. Phys. 84 (2012) 65 [arXiv:0910.1265] [INSPIRE].

    Article  ADS  Google Scholar 

  3. H.-Y. Cheng and C.-W. Chiang, Two-body hadronic charmed meson decays, Phys. Rev. D 81 (2010)074021 [arXiv:1001.0987] [INSPIRE].

    Google Scholar 

  4. D. Pirtskhalava and P. Uttayarat, CP violation and flavor SU(3) breaking in D-meson decays, Phys. Lett. B 712 (2012) 81 [arXiv:1112.5451] [INSPIRE].

    ADS  Google Scholar 

  5. H.-Y. Cheng and C.-W. Chiang, Direct CP-violation in two-body hadronic charmed meson decays, Phys. Rev. D 85 (2012) 034036 [Erratum ibid. D 85 (2012) 079903] [arXiv:1201.0785] [INSPIRE].

    ADS  Google Scholar 

  6. B. Bhattacharya, M. Gronau and J.L. Rosner, CP asymmetries in singly-Cabibbo-suppressed D decays to two pseudoscalar mesons, Phys. Rev. D 85 (2012) 054014 [arXiv:1201.2351] [INSPIRE].

    ADS  Google Scholar 

  7. T. Feldmann, S. Nandi and A. Soni, Repercussions of flavour symmetry breaking on CP-violation in D-meson decays, JHEP 06 (2012) 007 [arXiv:1202.3795] [INSPIRE].

    Article  ADS  Google Scholar 

  8. H. Na, C.T. Davies, E. Follana, G.P. Lepage and J. Shigemitsu, The DK, lν semileptonic decay scalar form factor and |V rmcs | from lattice QCD, Phys. Rev. D 82 (2010) 114506 [arXiv:1008.4562] [INSPIRE].

    ADS  Google Scholar 

  9. H. Na, C.T. Davies, E. Follana, J. Koponen, G.P. Lepage, et al., Dπ, lν semileptonic decays, |V cd| and 2 nd row unitarity from lattice QCD, Phys. Rev. D 84 (2011) 114505 [arXiv:1109.1501] [INSPIRE].

    ADS  Google Scholar 

  10. M.J. Savage, SU(3) violations in the nonleptonic decay of charmed hadrons, Phys. Lett. B 257 (1991)414 [INSPIRE].

    ADS  Google Scholar 

  11. 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] [INSPIRE].

    Article  ADS  Google Scholar 

  12. LHCb collaboration, R. Aaij et al., Evidence for CP-violation in time-integrated D 0h h + decay rates, Phys. Rev. Lett. 108 (2012) 111602 [arXiv:1112.0938] [INSPIRE].

    Article  ADS  Google Scholar 

  13. CDF collaboration, T. Aaltonen et al., Measurement of the difference of CP-violating asymmetries in D 0K + K and D 0π + π decays at CDF, Phys. Rev. Lett. 109 (2012) 111801 [arXiv:1207.2158] [INSPIRE].

    Article  ADS  Google Scholar 

  14. BaBar collaboration, B. Aubert et al., Search for CP-violation in the decays D 0K K + and D 0π 0 π +, Phys. Rev. Lett. 100 (2008) 061803 [arXiv:0709.2715] [INSPIRE].

    Article  ADS  Google Scholar 

  15. Belle collaboration, M. Staric et al., Measurement of CP asymmetry in Cabibbo suppressed D 0 decays, Phys. Lett. B 670 (2008) 190 [arXiv:0807.0148] [INSPIRE].

    ADS  Google Scholar 

  16. BABAR collaboration, B. Aubert et al., Measurement of \( {D^0}-{{\overline{D}}^0} \) mixing using the ratio of lifetimes for the decays D 0K π +, K K + and π π +, Phys. Rev. D 78 (2008) 011105 [arXiv:0712.2249] [INSPIRE].

    ADS  Google Scholar 

  17. Belle collaboration, M. Staric et al., Evidence for \( {D^0}-{{\overline{D}}^0} \) mixing, Phys. Rev. Lett. 98 (2007)211803 [hep-ex/0703036] [INSPIRE].

    Article  ADS  Google Scholar 

  18. Y. Grossman, A.L. Kagan and Y. Nir, New physics and CP-violation in singly Cabibbo suppressed D decays, Phys. Rev. D 75 (2007) 036008 [hep-ph/0609178] [INSPIRE].

    ADS  Google Scholar 

  19. G. Isidori, J.F. Kamenik, Z. Ligeti and G. Perez, Implications of the LHCb evidence for charm CP-violation, Phys. Lett. B 711 (2012) 46 [arXiv:1111.4987] [INSPIRE].

    ADS  Google Scholar 

  20. K. Wang and G. Zhu, Can up FCNC solve the ΔA CP puzzle?, Phys. Lett. B 709 (2012) 362 [arXiv:1111.5196] [INSPIRE].

    ADS  Google Scholar 

  21. Y. Hochberg and Y. Nir, Relating direct CP-violation in D decays and the forward-backward asymmetry in \( t\overline{t} \) production, Phys. Rev. Lett. 108 (2012) 261601 [arXiv:1112.5268] [INSPIRE].

    Article  ADS  Google Scholar 

  22. X. Chang, M.-K. Du, C. Liu, J.-S. Lu and S. Yang, LHCb ΔA CP of D meson and R-parity violation, arXiv:1201.2565 [INSPIRE].

  23. G.F. Giudice, G. Isidori and P. Paradisi, Direct CP-violation in charm and flavor mixing beyond the SM, JHEP 04 (2012) 060 [arXiv:1201.6204] [INSPIRE].

    Article  ADS  Google Scholar 

  24. W. Altmannshofer, R. Primulando, C.-T. Yu and F. Yu, New physics models of direct CP-violation in charm decays, JHEP 04 (2012) 049 [arXiv:1202.2866] [INSPIRE].

    Article  ADS  Google Scholar 

  25. C.-H. Chen, C.-Q. Geng and W. Wang, CP violation in D 0 → (K K +, π π +) from diquarks, Phys. Rev. D 85 (2012) 077702 [arXiv:1202.3300] [INSPIRE].

    ADS  Google Scholar 

  26. M. Golden and B. Grinstein, Enhanced CP-violations in hadronic charm decays, Phys. Lett. B 222 (1989) 501 [INSPIRE].

    ADS  Google Scholar 

  27. F. Buccella, M. Lusignoli, G. Miele, A. Pugliese and P. Santorelli, Nonleptonic weak decays of charmed mesons, Phys. Rev. D 51 (1995) 3478 [hep-ph/9411286] [INSPIRE].

    ADS  Google Scholar 

  28. J. Brod, A.L. Kagan and J. Zupan, Size of direct CP-violation in singly Cabibbo-suppressed D decays, Phys. Rev. D 86 (2012) 014023 [arXiv:1111.5000] [INSPIRE].

    ADS  Google Scholar 

  29. A.L. Kagan, Charm theory, talk at FPCP 2011, Kibbutz Maale Hahamisha Israel (2011).

  30. E. Franco, S. Mishima and L. Silvestrini, The standard model confronts CP-violation in D 0π + π and D 0K K +, JHEP 05 (2012) 140 [arXiv:1203.3131] [INSPIRE].

    Article  ADS  Google Scholar 

  31. H.-n. Li, C.-D. Lu and F.-S. Yu, Branching ratios and direct CP asymmetries in Dpp decays, Phys. Rev. D 86 (2012) 036012 [arXiv:1203.3120] [INSPIRE].

    ADS  Google Scholar 

  32. V. Cirigliano, G. Ecker and A. Pich, Reanalysis of pion pion phase shifts from Kππ decays, Phys. Lett. B 679 (2009) 445 [arXiv:0907.1451] [INSPIRE].

    ADS  Google Scholar 

  33. S. Fajfer, P. Singer and J. Zupan, The radiative leptonic decays D 0e + e γ, μ + μ γ in the standard model and beyond, Eur. Phys. J. C 27 (2003) 201 [hep-ph/0209250] [INSPIRE].

    Article  ADS  Google Scholar 

  34. G. Buchalla, A.J. Buras and M.E. Lautenbacher, Weak decays beyond leading logarithms, Rev. Mod. Phys. 68 (1996) 1125 [hep-ph/9512380] [INSPIRE].

    Article  ADS  Google Scholar 

  35. S. Sharpe, private communication.

  36. M.T. Hansen and S.R. Sharpe, Multiple-channel generalization of Lellouch-Lüscher formula, Phys. Rev. D 86 (2012) 016007 [arXiv:1204.0826] [INSPIRE].

    ADS  Google Scholar 

  37. Heavy Flavor Averaging Group collaboration, D. Asner et al., Averages of b-hadron, c-hadron and τ -lepton properties, arXiv:1010.1589 [INSPIRE].

  38. J. Charles, O. Deschamps, S. Descotes-Genon, R. Itoh, H. Lacker, et al., Predictions of selected flavour observables within the standard model, Phys. Rev. D 84 (2011) 033005 [arXiv:1106.4041] [INSPIRE].

    ADS  Google Scholar 

  39. CDF collaboration, T. Aaltonen et al., Measurement of CP-violating asymmetries in D 0π + π and D 0K K + decays at CDF, Phys. Rev. D 85 (2012) 012009 [arXiv:1111.5023] [INSPIRE].

    ADS  Google Scholar 

  40. Y. Grossman and Y. Nir, CP violation in τ → νπK S and DπK S : the importance of K S K L interference, JHEP 04 (2012) 002 [arXiv:1110.3790] [INSPIRE].

    Article  ADS  Google Scholar 

  41. T. Blum, P. Boyle, N. Christ, N. Garron, E. Goode, et al., K to ππ decay amplitudes from lattice QCD, Phys. Rev. D 84 (2011) 114503 [arXiv:1106.2714] [INSPIRE].

    ADS  Google Scholar 

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Correspondence to Joachim Brod.

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Brod, J., Grossman, Y., Kagan, A.L. et al. A consistent picture for large penguins in Dπ + π , K + K . J. High Energ. Phys. 2012, 161 (2012). https://doi.org/10.1007/JHEP10(2012)161

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  • DOI: https://doi.org/10.1007/JHEP10(2012)161

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