“Could charm (& τ ) transitions be the ‘poor princess’ providing a deeper understanding of fundamental dynamics ?” or: “Finding novel forces”

Abstract

We know that our Universe is composed of only ～4.5% “known” matter; therefore, our understanding is incomplete. This can be seen directly in the case of neutrino oscillations (without even considering potential other universes). Charm quarks have had considerable impact on our understanding of known matter, and quantum chromodynamics (QCD) is the only local quantum field theory to describe strong forces. It is possible to learn novel lessons concerning strong dynamics by measuring rates around the thresholds of [\overline{Q}Q] states with Q = b, c. Furthermore, these states provide us with gateways towards new dynamics (ND), where we must transition from “accuracy” to “precision” eras. Finally, we can make connections with τ transitions and, perhaps, with dark matter. Charm dynamics acts as a bridge between the worlds of light- and heavy-flavor hadrons (namely, beauty hadrons), and finding regional asymmetries in many-body final states may prove to be a “game changer”. There are several different approaches to achieving these goals: for example, experiments such as the Super Tau-Charm Factory, Super Beauty Factory, and the Super Z⁰ Factory act as gatekeepers – and deeper thinking regarding symmetries.

Graphical abstract

Keywords

CKM matrix / HQE & OPE / CPV in ΔC ≠ 0 ≠ΔB & τ decays

References

[1] J. Bjorken and S. Glashow, Elementary particles and SU(4), Phys. Lett.11(3), 255(1964)

[2] Y. Hara, Unitary triplets and the eightfold way, Phys. Rev.134(3B), B701(1964)

[3] Z. Maki and Y. Ohnuki, Quartet scheme for elementary particles, Prog. Theor. Phys.32(1), 144(1964)

[4] S. L. Glashow, J. Illiopolous, and L. Maiani, Weak interactions with lepton–hadron symmetry, Phys. Rev. D2(7), 1285(1970)

[5] K. Niu, E. Mikumo, and Y. Maeda, A possible decay in flight of a new type particle, Prog. Theor. Phys.46(5), 1644(1971)

[6] L. B. Okun, Weak Interactions of Elementary Particles, Pergamon, 1965. The Russian original had appeared in 1963- i.e., clearly before the discovery of CP violation.

[7] A. C. Benvenuti, D. Cline, W. T. Ford, R. Imlay, T. Y. Ling, A. K. Mann, F. Messing, R. Orr, D. D. Reeder, C. Rubbia, R. Stefanski, L. Sulak, and P. Wanderer, Observation of new-particle production by high-energy neutrinos and antineutrinos, Phys. Rev. Lett.34(7), 419(1975)

[8] M. K. Gaillard and B. Lee, Rare decay modes of the K mesons in gauge theories, Phys. Rev. D10(3), 897(1974)

[9] M. K. Gaillard, B. Lee, and J. Rosner, Search for charm, Rev. Mod. Phys.47(2), 277(1975)

[10] T. Appelquist and H. D. Politzer, Heavy quarks and e⁺e^- annihilation, Phys. Rev. Lett.34(1), 43(1975)

[11] I. I. Bigi, Y. Dokshitzer, V. Khoze, J. Kühn, and P. Zerwas, Production and decay properties of ultra-heavy quarks, Phys. Lett. B181(1-2), 157 (1986)

[12] Charm Physics, edited by Ming-Han Ye and Tao Huang, CCAST (World Lab.), Symposion/Workshop Proceedings, Vol. 2, Gordon & Breach Science Publishers

[13] L. Wolfenstein, Violation of CP invariance and the possibility of very weak interactions, Phys. Rev. Lett.13(18), 562(1964)

[14] M. Kobayashi and T. Maskawa, CP-violation in the renormalizable theory of weak interaction, Prog. Theor. Phys.49(2), 652(1973)

[15] S. Bianco, F. L. Fabbri, D. Benson, and I. Bigi, A Cicerone for the physics of charm, Riv. Nuovo Cim.26N7, 1 (2003), arXiv: hep-ex/0309021

[16] M. B. Voloshin and M. A. Shifman, Lifetime hierarchy of charm and beautiful hadrons, Zh.Éksp. Teor. Fiz.91, 1180 (1986) [Sov. Phys. JETP64, 698 (1986)]

[17] A. Paul, I. I. Bigi, and S. Recksiegel, D⁰ → γγ and D⁰ → μ⁺μ^- rates on an unlikely impact of the littlest Higgs model with T parity, Phys. Rev. D82(9), 094006(2010), arXiv: 1008.3141

[18] A. Paul, I. I. Bigi, and S. Recksiegel, On D →X_ul⁺l^- within the Standard Model and frameworks like the littlest Higgs model with T parity, Phys. Rev. D83(11), 114006(2011), arXiv: 1101.6053

[19] A. Paul, A. de la Puente, and I. I. Bigi, Manifestations of warped extra dimension in rare charm decays and asymmetries, Phys. Rev. D90(1), 0140035(2014)

[20] R. Aaij, [LHCb Collaboration], Measurement of CP violation in the phase space of B^± →K^±π⁺π^- and B^± →K^± K⁺K^- decays, Phys. Rev. Lett. 111, 101801 (2013), arXiv: 1306.1246

[21] R. Aaij, [LHCb Collaboration], Measurement of CP violation in the phase space of B^± →K⁺K^-π^± and B^± → π⁺π^-π^± decays, Phys. Rev. Lett.112(11), 011801(2014)

[22] L. Wolfenstein, Parametrization of the Kobayashi–Maskawa matrix, Phys. Rev. Lett.51(21), 1945(1983)

[23] K. A. Olive, . [Particle Data Group], Review of particle physics, Chinese Physics C38(9), 090001(2014)

[24] Y. H. Ahn, H. Y. Cheng, and S. Oh, Wolfenstein parametrization at higher order: Seeming discrepancies and their resolution, Phys. Lett. B703(5), 571(2011)

[25] I. I. Bigi, 3- and 4-body final states in B, D and tau decays about features of new dynamics with CPT invariance or “Achaeans outside Troy”, arXiv: 1306.6014 [hep-ph], talk given at FPCP2013

[26] S. L. Adler, Axial-vector vertex in spinor electrodynamics, Phys. Rev.177(5), 2426(1969)

[27] J. S. Bell and R. Jackiw, A PCAC puzzle: π⁰ → γγ in the s-model, Nuovo Cim. 60(1), 47(1969)

[28] W. A. Bardeen, Anomalous ward identities in spinor field theories, Phys. Rev.184(5), 1848(1969)

[29] J. Steinberger, On the use of subtraction fields and the lifetimes of some types of meson decay, Phys. Rev.76(8), 1180(1949)

[30] I. I. Bigi, M. Shifman, N. Uraltsev, and A. Vainshtein, High power n of m_b in b-flavored widths and n = 5 → ∞ limit, Phys. Rev. D 56(7), 4017(1997)

[31] M. A. Shifman, Quark–hadron duality, Boris Ioffe Festschrift At the Frontier of Particle Physics / Handbook of QCD, edited by M. Shifman, Singapore: World Scientific, 2001, arXiv: hep-ph/0009131

[32] I. I. Bigi and N. G. Uraltsev, A vademecum on quark–hadron duality, Int. J. Mod. Phys. A16(32), 5201(2001), arXiv: hep-ph/0106346

[33] I. I. Bigi and Th. Mannel, Parton-hadron duality in B meson decays, arXiv: hep-ph/0212021, 2002

[34] I. I. Bigi, Probing CP asymmetries in charm baryons decays, arXiv: 1206.4554; it was meant to be part of a published paper in the future.

[35] G. ’t Hooft, A two-dimensional model for mesons, Nucl. Phys. B 75(3), 461(1974)

[36] C. Callan, N. Coote, and D. Gross, Two-dimensional Yang- Mills theory: A model of quark confinement, Phys. Rev. D13(6), 1649(1976)

[37] M. Einhorn, S. Nussinov, and E. Rabinovici, Meson scattering in quantum chromodynamics in two dimensions, Phys. Rev. D15(8), 2282(1977)

[38] I. I. Bigi, in: Proceedings of Charm Physics, edited by Ming- Han Ye & Tao Huang, QCD161:S12:1987A, pp 339-425 (in particular pp 370-389); SLAC-PUB-4349

[39] I. I. Bigi, V. A. Khoze, N. G. Uraltsev, and A. I. Sanda, The question of CP noninvariance – As seen through the eyes of neutral beauty, in: CP Violation, edited by C. Jarlskog, World Scientific, 1988, pp 175-248

[40] L. Wolfenstein, Final-state interactions and CP violation in weak decays, Phys. Rev. D 43(1), 151 (1991)

[41] I. I. Bigi and A. I. Sanda, “CP Violation”, 2nd Ed., Cambridge Monographs on Particle Physics, Nuclear Physics and Cosmology, Cambridge University Press, 2009

[42] H. J. Lipkin, Lie Groups for Pedestrians, North-Holland Publ. Co., 1965

[43] M. R. Pennington, Translating quark dynamics into hadron physics (and back again), arXiv: hep-ph/0207220, in: Proceedings of MESON2002

[44] J. R. Peláez, M. R. Pennington, J. Ruiz de Elvira, and D. J. Wilson, The nature of the lightest scalar meson, its N_c behaviour and semi-local duality, arXiv:1109.2392, in: Proceedings of the Hadron 2011

[45] J. R. Pelaez, Recent progress on light scalars: from confusion to precision using dispersion theory, arXiv: 1301.4431 [hep-ph]

[46] H. J. Lipkin, Is observed direct CP violation in Bd→K⁺π^-Bd→K⁺π^- due to new physics? Check standard model prediction of equal violation in Bs→K^-π⁺, Phys. Lett. B 621(1-2), 126 (2005)

[47] K. Wilson, Non-Lagrangian models of current algebra, Phys. Rev.179(5), 1499(1969)

[48] I. I. Bigi, N. G. Uraltsev, and A. I. Vainshtein, Nonperturbative corrections to inclusive beauty and charm decays: QCD versus phenomenological models, Phys. Lett. B293(3-4), 430 (1992); Erratum, Phys. Lett. B 297(3-4), 477 (1993)

[49] I. I. Bigi, M. Shifman, N. G. Uraltsev, and A. I. Vainshtein, QCD predictions for lepton spectra in inclusive heavy flavor decays, Phys. Rev. Lett.71(4), 496(1993)

[50] I. I. Bigi, M. Shifman, N. G. Uraltsev, and A. I. Vainshtein, Pole mass of the heavy quark: Perturbation theory and beyond, Phys. Rev. D50(3), 2234(1994)

[51] M. Voloshin, “Optical” sum rule for form factors of heavy mesons, Phys. Rev. D 46(7), 3062(1992)

[52] M. Beneke and V. Braun, Heavy quark effective theory beyond perturbation theory: Renormalons, the pole mass and the residual mass term, Nucl. Phys. B426(2), 301(1994)

[53] N. Uraltsev, Do higher order perturbative corrections in b → c semileptonic transitions, Int. J. Mod. Phys. A11, 515 (1996)

[54] M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, QCD and resonance physics: Theoretical foundation, Nucl. Phys. B147(1979) 385; 448

[55] I. I. Balitsky, V. M. Braun, and A. V. Kolesnichenko, Radiative decay Σ⁺ → ργ in quantum chromodynamics, Nucl. Phys. B312(3), 509(1989)

[56] V. I. Chernyak and I. R. Zhitnitsky, B-meson exclusive decays into baryons, Nucl. Phys. B345(1), 137(1990)

[57] I. Bigi, M. Shifman, N. G. Uraltsev, and A. Vainshtein, Sum rules for heavy flavor transitions in the small velocity limit, Phys. Rev. D52(1), 196(1995)

[58] N. Uraltsev, New exact heavy quark sum rules, Phys. Lett. B501(1-2), 86 (2001)

[59] S. Turczyk, Contribution to Memorial Book for Kolya Uraltsev to be published in2015

[60] Chr. Hanhart, Modelling low-mass resonances in multi-body decays, arXiv: 1311.6627, in: Proceedings of CHARM2013

[61] B. Kubis, The role of final-state interactions in Dalitz plot studies, arXiv: 1108.5866 (2011)

[62] S. Gardner and U. G. Meisner, Rescattering and chiral dynamics in B → ρπ decay, Phys. Rev. D65(9), 094004(2002), arXiv: hep-ph/0112281

[63] J. Donoghue, Dispersion relations and effective field theory, arXiv: hep-ph/9607351, lecture given at the International School on Effective Field Theory, Almunecar, Spain, <month>June</month>1995

[64] C. Di Donato, G. Ricciardi, and I. I. Bigi, η-η’ mixing: From electromagnetic transitions to weak decays of charm and beauty hadrons, Phys. Rev. D85(1), 013016(2012), arXiv: 1105.3557

[65] S. Fajfer, P. Singer, and J. Zupan, Rare decay D⁰ → γγ, Phys. Rev. D64(7), 074008(2001)

[66] G. Burdman, E. Golowich, J. A. Hewett, and S. Pakvasa, Rare charm decays in the standard model and beyond, Phys. Rev. D66(1), 014009(2002)

[67] R. Peccei and H. Quinn, CP conservation in the presence of pseudoparticles, Phys. Rev. Lett.38(25), 1440(1977)

[68] R. Peccei and H. Quinn, Constraints imposed by CP conservation in the presence of pseudoparticles, Phys. Rev. D16(6), 1791(1977)

[69] R. D. Peccei, The strong CP problem and axions, arXiv: hep-ph/0607268, 2006

[70] C. Jarlskog (Ed.), CP Violation, World Scientific, 1994

[71] G. Burdman, E. Golowich, J. A. L. Hewett, and S. Pakvasa, Radiative weak decays of charm mesons, Phys. Rev. D52(11), 6383(1995)

[72] S. Fajfer, Rare decays of D mesons, arXiv: hep-ph/0306263, 2003

[73] A. Lenz, Contribution to Memorial Book for Kolya Uraltsev, to be published in 2015

[74] M. Golden and B. Grinstein, Enhanced CP violations in hadronic charm decays, Phys. Lett. B222(3-4), 501 (1989)

[75] I. I. Bigi, Conf. Proc. C 890523, 169-195 (1989), in: Proceedings of Tau-Charm Factory Workshop

[76] I. Bediaga, I. I. Bigi, J. Miranda, and A. C. dos Reis, CP asymmetries in three-body final states in charged D decays and CPT invariance, Phys. Rev. D89(7), 074024(2014)

[77] I. Bediaga, I. I. Bigi, A. Gomes, G. Guerrer, J. Miranda, and A. C. dos Reis, On a CP anisotropy measurement in the Dalitz plot, Phys. Rev. D80(9), 096006(2009), arXiv: 0905.4233

[78] I. Bediaga, J. Miranda, A. C. dos Reis, I. I. Bigi, A. Gomes, J. M. Otalora Goicochea, and A. Veiga, Second generation of “Miranda procedure” for CP violation in Dalitz studies of B (and D and t) decays, Phys. Rev. D 86(3), 036005(2012), arXiv: 1205.3036

[79] M. Williams, Observing CP violation in many-body decays, Phys. Rev. D84(5), 054015(2011), arXiv: 1105.5338

[80] I. I. Bigi, Charm Physics- Like Botticelli in the Sistine Chapel, arXiv: hep-ph/0107102, in: Proceedings of KAON 2001, Pisa, 2001, pp 417-429

[81] A. Datta and D. London, Triple-product correlations in B→V₁V₂ decays and new physics, Int. J. Mod. A19(15), 2505(2004), arXiv: hep-ph/0303159

[82] W. Bensalem, A. Datta, and D. London, New-physics effects on triple-product correlations in L_b decays, Phys. Rev. D66(9), 094004(2002), arXiv: hep-ph/0208054

[83] W. Bensalem, A. Datta, and D. London, T-violating tripleproduct correlations in charmless L_b decays, Phys. Lett. B538(3-4), 309 (2002)

[84] G. Valencia, Angular correlations in the decay B→VV and CP violation, Phys. Rev. D39(11), 3339(1989)

[85] J. M. Link, [FOCUS Collaboration], Search for T violation in charm meson decays, Phys. Lett. B622(3-4), 239 (2005)

[86] P. del Amo Sanchez, [BaBar Collaboration], Search for CP violation using T-odd correlations in D0 →K⁺K^-π⁺π^- decays, Phys. Rev. D81, 111103 (2010), arXiv: 1003.3397

[87] R. Aaij, [LHCb Collaboration], Search for CP violation using T-odd correlations in D0 →K⁺K^-π⁺π^- decays, Journal of High Energy Physics10, 005 (2014), arXiv: 1408.1299 [hep-ex]

[88] I. I. Bigi, CP violation in τ decays at SuperB \& Super-Belle Experiments – like finding signs of dark matter, Nucl. Phys. B (Proc. Suppl.)253-255, 91 (2014), arXiv: 1210.2968, talk given at Tau 2012 Workshop at Nagoya (Japan)

[89] I. I. Bigi, Heavy flavour physics: On its more than 50 years of history, its future and the Rio Manifesto, arXiv: hepph/0012161, Summary talk given at HQ2K “Heavy Quarks at Fixed Target 2000”, Rio de Janeiro, Brazil, <month>Oct.</month><day>9</day>-<day>12</day>, 2000

[90] I. I. Bigi, CP violation in the SM, quantum subtleties and the insights of Yogi Berra, Chinese Physics C45(3), 283(2007), arXiv: hep-ph/0703132

[91] L. M. Sehgal and M. Wanninger, CP violation in the decay KL → π⁺π^-e⁺e^-, Phys. Rev. D46(3), 1035(1992); erratum, Phys. Rev. D 46, 5209 (1992)

[92] L. M. Sehgal and J. van Leusen, Violation of time reversal invariance in the decays KL → π⁺π^-γ and KL → π⁺π^-e⁺e^-, Phys. Rev. Lett.83(24), 4933(1999)

[93] L. M. Sehgal and J. van Leusen, Time evolution of decay spectrum in K⁰, K¯0 → π⁺π^-e⁺e^-, Phys. Lett. B489, 300 (2000)

[94] M. Gronau, High order U-spin breaking: A precise amplitude relation in D₀ decays, Phys. Lett. B730, 221 (2014)

[95] M. Gronau, Addendum to “High order U-spin breaking: A precise amplitude relation in D⁰ decays” [Phys. Lett. B 730, 221 (2014)], Phys. Lett. B735, 282 (2014), arXiv: 1311.1434

[96] R. Aaij, [LHCb Collaboration], Search for CP violation in D0 → π^-π⁺π⁰ decays with the energy test, Phys. Lett. B740, 158 (2015), arXiv: 1410.4170v2 [hep-ex]

[97] A. J. Bevan and B. T. Meadows, Bounding hadronic uncertainties in c → u decays, Phys. Rev. D90(9), 094028(2014), arXiv: 1310.0050

[98] A. Celis, V. Cirigliano, and E. Passemar, Modeldiscriminating power of lepton flavor violating t decays, Phys. Rev. D89(9), 095014(2014)

[99] E. Passemar, I. I. Bigi, Hai-Bo Li, and Cai-Dian Lu, Higgs factory as excellent “early” Z⁰ factory about beauty, charm hadrons & τ dynamics (in progress)

[100] I. I. Bigi and A. I. Sanda, A “known” CP asymmetry in t decays, Phys. Lett. B625(1-2), 47 (2005)

[101] I. I. Bigi, CP violation in t decays at SuperB & Belle II Experiments – like finding signs of dark matter, Nucl. Phys. B Proc. Suppl.253-255, 91 (2014)

[102] R. J. Sobie, Search for CP violation in the decay τ^- → π-KS0(≥0π0)υτ at BaBar, Nucl. Phys. B Proc. Suppl.253-255, 99 (2014)

[103] W. Dekens, J. de Vries, J. Bsaisou, W. Bernreuther, C. Hanhart, Ulf-G. Meisner, A. Nogga, and A. Wirzba, Unraveling models of CP violation through electric dipole moments of light nuclei, Journal of High Energy Physics07, 069 (2014), arXiv: 1404.6082 [hep-ph]

[104] W. Bernreuther, O. Nachtmann, and P. Overmann, CP- violating electric and weak dipole moments of the t lepton from threshold to 500 GeV, Phys. Rev. D48(1), 78(1993)

[105] A. Pich, Precision Tau physics, Prog. Part. Nucl. Phys.75, 41 (2014)

[106] M. Fael, L. Mercolli, and E. Passera, Towards a determination of the tau lepton dipole moments, Nucl. Phys. B Proc. Suppl.253-255, 103 (2014)

[107] http://www.slac.stanford.edu/xorg/hfag/, Y. Amhis, [Heavy Flavor Averaging Group Collaboration], Averages of b-hadron, c-hadron, and tau-lepton properties as of early 2012, arXiv: 1207.1158 [hep-ex]

[108] K. Inami, [Belle Collaboration], Search for the electric dipole moment of the t lepton, Phys. Lett. B551(1-2), 16 (2003), arXiv: hep-ex/0210066

[109] A. Heister, [ALEPH Collaboration], Search for anomalous weak dipole moments of the tau lepton, Eur. Phys. J. C30(3), 291(2003), arXiv: hep-ex/0209066

[110] I. I. Bigi, Matter–antimatter oscillations and CP violation as manifested through quantum mysteries, Rep. Prog. Phys.70(11), 1869(2007)

[111] I. I. Bigi, Flavour dynamics and CP violation in the SM: A tale in five parts of great succe<?Pub Caret?>sses, little understanding and promise for the future, Riv. Nuovo Cim.30, 1 (2007), arViv: hep-ph/0601167

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