Measurement of strong phases, <i>D</i>– <inline-formula><math xmlns:mml=

doi:10.1007/s11467-015-0489-6

REVIEW ARTICLE

Measurement of strong phases, D–

D ¯

mixing, and CP violation using quantum correlation at charm threshold

Matteo Rama(

)

Download: PDF(529 KB)
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks

Abstract

We review the measurements of the D decay strong-phase parameters based on quantum-correlated D⁰ $D ¯$ ⁰ pairs produced in the e⁺e⁻ → Ψ(3770) → D⁰ $D ¯$ ⁰ process, and we discuss their role in the measurements of Cabibbo-Kobayashi-Maskawa angle γ and D- $D ¯$ mixing. In addition, we present estimates of the size of quantum-correlated datasets necessary to support the γ and charm mixing measurements conducted at the LHCb and Belle II experiments. Finally, we review the methods for measuring the D– $D ¯$ mixing and CP violation parameters at a high-luminosity charm factory, giving sensitivity estimates.

Keywords quantum correlation charm mixing CP violation

Corresponding Author(s): Matteo Rama

Online First Date: 25 November 2015 Issue Date: 01 February 2016

Cite this article:

Matteo Rama. Measurement of strong phases, D–

D ¯

mixing, and CP violation using quantum correlation at charm threshold[J]. Front. Phys. , 25 November 2015. [Epub ahead of print] doi: 10.1007/s11467-015-0489-6.

URL:

https://academic.hep.com.cn/fop/EN/10.1007/s11467-015-0489-6
https://academic.hep.com.cn/fop/EN/Y/V/I/1

1	Y. Amhis, et al. (Heavy Flavor Averaging Group), Averages of b-hadron, c-hadron, and τ-lepton properties as of summer 2014, arXiv: 1412.7515;
2	A. Giri, Y. Grossman, A. Soffer, and J. Zupan, Determining gamma using B±→ DK± with multibody D decays, Phys. Rev. D 68, 054018 (2003), arXiv: hep-ph/0303187. https://doi.org/10.1103/PhysRevD.68.054018
3	A. Bondar, Proceedings of BINP special analysis meeting on Dalitz analysis, Sep. 24-26, 2002 (unpublished)
4	A. Poluektov, et al. (Belle Collaboration), Evidence for direct CP violation in the decay B± → D()K± , D→ K0sπ+π- and measurement of the CKM phase ø3, Phys. Rev. D* 81, 112002 (2010), arXiv:1003.3360 https://doi.org/10.1103/PhysRevD.81.112002
5	P. del Amo Sanchez, et al. (BaBar Collaboration), Evidence for direct CP violation in the measurement of the Cabibbo-Kobayashi-Maskawa angle gamma with B∓→D∗K()∓ decays, Phys. Rev. Lett*. 105, 121801 (2010), arXiv: 1005.1096 https://doi.org/10.1103/PhysRevLett.105.121801
6	R. Aaij, et al. (LHCb Collaboration), Measurement of CP violation and constraints on the CKM angle γ in B±→ DK± with K0Sπ+π−, Nucl. Phys. B 888, 169 (2014), arXiv: 1407.6211 https://doi.org/10.1016/j.nuclphysb.2014.09.015
7	J. Libby, et al. (CLEO Collaboration), Model-independent determination of the strong-phase difference between D0 and D ¯0→ K0S,Lh+h- (h=π, K) and its impact on the measurement of the CKM angle gamma/ø3, Phys. Rev. D 82, 112006 (2010), arXiv: 1010.2817 https://doi.org/10.1103/PhysRevD.82.112006
8	A. Bondar and A. Poluektov, Feasibility study of model-independent approach to ø3 measurement using Dalitz plot analysis, Eur. Phys. J. C 47, 347 (2006), arXiv: hep-ph/0510246 https://doi.org/10.1140/epjc/s2006-02590-x
9	A. Bondar and A. Poluektov, The use of quantum-correlated D0 decays for ø3 measurement, Eur. Phys. J. C 55, 51 (2008), arXiv: 0801.0840 https://doi.org/10.1140/epjc/s10052-008-0600-z
10	H. Aihara, et al. (Belle Collaboration), First measurement of ø3 with a model-independent Dalitz plot analysis of B→DK, D→Ksππ decay, Phys. Rev. D 85, 112014 (2012), arXiv: 1204.6561 https://doi.org/10.1103/PhysRevD.85.112014
11	R. Aaij, et al. (LHCb Collaboration), Measurement of the CKM angle γusing B±→ DK±with D→KSπ+π-, KSK+K- decays, J. High Energy Phys. 10, 097 (2014), arXiv: 1408.2748
12	D. Atwood, I. Dunietz and A. Soni, Enhanced CP violation with B→KD0( D ¯0) modes and extraction of the Cabibbo-Kobayashi-Maskawa angle γ, Phys. Rev. Lett. 78, 3257 (1997) https://doi.org/10.1103/PhysRevLett.78.3257
13	D. M. Asner, et al. (CLEO Collaboration), Updated measurement of the strong phase in D0 → K+π- decay using quantum correlations in e+e- → D0 D ¯0 at CLEO, Phys. Rev. D 86, 112001 (2012), arXiv: 1210.0939 https://doi.org/10.1103/PhysRevD.86.112001
14	M. Ablikim, et al. (BESIII Collaboration), Measurement of the D→K−π+ strong phase difference in ψ(3770)→D0 D ¯0, Phys. Lett. B 734, 227 (2014), arXiv: 1404.4691 https://doi.org/10.1016/j.physletb.2014.05.071
15	J. Libby, S. Malde, A. Powell, G. Wilkinson, D. M. Asner, Bonvicini, G. Gershon T. , Naik P. , Pedlar T. K. , Rademacker J. , Ricciardi S. and Thomas C. New determination of the D0 → K−π+π0 and D0 →K−π+π+π− coherence factors and average strong-phase differences, Phys. Lett. B731, 197 (2014), arXiv: 1401.1904
16	J. Insler, et al. (CLEO Collaboration), Studies of the decays D0 → KS0K-π+ and D0 →KS0K+π-, Phys. Rev. D 85, 092016 (2012), arXiv: 1203.3804 https://doi.org/10.1103/PhysRevD.85.092016
17	LHCb Collaboration, Improved constraints on γ: CKM2014 update, LHCb-CONF-2014-004
18	M. Gronau and D. London, How to determine all the angles of the unitarity triangle from Bd0 to D{Ks} and Bs0 to D0, Phys. Lett. B 253, 483 (1991) https://doi.org/10.1016/0370-2693(91)91756-L
19	M. Gronau and D. Wyler, Phys. Lett. B 265, 172 (1991) https://doi.org/10.1016/0370-2693(91)90034-N
20	M. Nayak, J. Libby, S. Malde, C. Thomas, G. Wilkinson, R.A. Briere, P. Naik, T. Gershon, and G. Bonvicini, First determination of the CP content of D→π+π-π0 and D→K+K-π0, Phys. Lett. B 740, 1 (2015), arXiv: 1410.3964 https://doi.org/10.1016/j.physletb.2014.11.022
21	S. Malde, C. Thomas, G. Wilkinson, P. Naik, C. Prouve, J. Rademacker, J. Libby, M. Nayak, T. Gershon, and R. A. Briere, First determination of the CP content of D→π+π−π+π− and updated determination of the CP contents of D→π+π−π0 and D→K+K−π0, Phys. Lett. B 747, 9 (2015), arXiv: 1504.05878
22	K. A. Olive, et al. (Particle Data Group), Review of particle physics, Chin. Phys. C 38, 090001 (2014) https://doi.org/10.1088/1674-1137/38/9/090001
23	S. Malde, C. Thomas, and G. Wilkinson, Measuring CP violation and mixing in charm with inclusive self-conjugate multibody decay modes, Phys. Rev. D 91, 094032 (2015), arXiv: 1502.04560
24	A. Bondar, A. Poluektov, and V. Vorobiev, Charm mixing in the model-independent analysis of correlated D0- D ¯0 decays, Phys. Rev. D 82, 034033 (2010), arXiv: 1004.2350 https://doi.org/10.1103/PhysRevD.82.034033
25	C. Thomas and G. Wilkinson, Model-independent D0- D ¯0 mixing and CP violation studies with D0→K0Sπ+π− and D0→K0SK+K−, J. High Energy Phys. 10, 185 (2012), arXiv: 1209.0172
26	D. M. Asner, et al. (CLEO Collaboration), Search for D ¯0D0 mixing in the Dalitz plot analysis of D0 → KS0π+π-, Phys. Rev. D 72, 012001 (2005), arXiv: hep-ex/0503045 https://doi.org/10.1103/PhysRevD.72.012001
27	L. M. Zhang, et al. (Belle Collaboration), Measurement of D0- D ¯0 mixing in D0 → KSπ+π-decays, Phys. Rev. Lett. 99, 131803 (2007), arXiv: 0704.1000 https://doi.org/10.1103/PhysRevLett.99.131803
28	P. del Amo Sanchez, et al. (BaBar Collaboration), Measurement of D ¯0-D0 mixing parameters using D0→ KSπ+π-and D0 → KSK+K-decays, Phys. Rev. Lett. 105, 081803 (2010), arXiv: 1004.5053 https://doi.org/10.1103/PhysRevLett.105.081803
29	Talk given by A. Di Canto at the Third Annual Conference on LHC Physics 2015, St. Petersburg, Russia, Aug. 31-Sep. 5, 2015. Results to appear in LHCb-PAPER-2015-042.
30	S. Harnew and J. Rademacker, Charm mixing as input for model-independent determinations of the CKM phase gamma, Phys. Lett. B 728, 296 (2014), arXiv: 1309.0134 https://doi.org/10.1016/j.physletb.2013.11.065
31	N. Lowrey, et al. (CLEO Collaboration), Determination of the D0 → K-π+π0 and D0 → K-π+π+π-coherence factors and average strong-phase differences using quantum-correlated measurements, Phys. Rev. D 80, 031105 (2009), arXiv: 0903.4853 https://doi.org/10.1103/PhysRevD.80.031105
32	S. Harnew and J. Rademacker, Model independent determination of the CKM phase γ using input from D0- D ¯0 mixing, J. High Energy Phys. 03, 169 (2015), arXiv: 1412.7254 https://doi.org/10.1007/JHEP03(2015)169
33	J. P. Lees, et al. (BaBar Collaboration), Observation of direct CP violation in the measurement of the Cabibbo-Kobayashi-Maskawa angle gamma with B±→ D()K()± decays, Phys. Rev. D 87, 052015 (2013), arXiv: 1301.1029 https://doi.org/10.1103/PhysRevD.87.052015
34	K. Trabelsi, et al. (Belle Collaboration), Study of direct CP in charmed B decays and measurement of the CKM angle gamma at Belle, arXiv: 1301.2033
35	LHCb Collaboration, LHCb-PUB-2013-015
36	T. Aushev, et al., KEK Report 2009-12, Physics at super B factory, arXiv: 1002.5012
37	The timeline of Belle II may be delayed compared to what stated in Ref. [35]. See for example the talk by P. Urquijo given at the CKM 2014 workshop
38	R. Aaij, et al. (LHCb Collaboration), Implications of LHCb measurements and future prospects, Eur. Phys. J. C 73, 2373 (2013), arXiv: 1208.3355 https://doi.org/10.1140/epjc/s10052-013-2373-2
39	This estimate is meant to be indicative also because it neglects a number of differences in the underlying assumptions used by LHCb and Belle II.
40	T. M. Karbach, Private communication
41	M. Goldhaber and J. L. Rosner, Mixing of neutral charmed mesons and tests for CP violation in their decays, Phys. Rev. D 15, 1254 (1977) https://doi.org/10.1103/PhysRevD.15.1254
42	D. M. Asner and W. M. Sun, Time-independent measurements of D0- D ¯0 mixing and relative strong phases using quantum correlations, Phys. Rev. D 73, 034024 (2006), arXiv: hep-ph/0507238 https://doi.org/10.1103/PhysRevD.73.034024
43	M. Baszczyk, et al. (SuperB Collaboration), SuperB technical design report, arXiv: 1306.5655 https://doi.org/10.1103/PhysRevD.73.034024
44	Talk given by M. Rama at the Workshop on Charm Physics at Threshold, Oct. 21-23, 2011, Beijing, China
45	D. Atwood and A. A. Petrov, Lifetime differences in heavy mesons with time independent measurements, Phys. Rev. D 71, 054032 (2005) https://doi.org/10.1103/PhysRevD.71.054032
46	D. M. Asner and W. M. Sun, Time-independent measurements of D0- D ¯0 mixing and relative strong phases using quantum correlations, Phys. Rev. D 73, 034024 (2006); Erratum: Phys. Rev. D 77, 019901 (2008)
47	M. Ablikim, et al. (BESIII Collaboration), Measurement of yCP in D0- D ¯0 oscillation using quantum correlations in e+e−→D0- D ¯0 at s = 3.773 GeV, Phys. Lett. B 744, 339 (2015), arXiv: 1501.01378
48	A. Andreazza, et al., What next: White paper of CSN1, Frascati Phys. Ser. 60 (2015) 1
49	M. Staric, Talk given at the KEK Flavor Factories Workshop, Tsukuba, February, 2014
50	Workshop on charm physics, “ What Next: Discovery Potential of Charm Physics”, Milano, October 7-8, 2014. https://agenda.infn.it/event/whatnext charm
51	Estimates provided by Simone Stracka
52	M Staric, Talk given at the CKM 2014 workshop, September, 2014
53	H. Mendez, et al. (CLEO Collaboration), Measurements of D meson decays to two pseudoscalar mesons, Phys. Rev. D 81, 052013 (2010), arXiv: 0906.3198 https://doi.org/10.1103/PhysRevD.81.052013
54	Estimates made in collaboration with with Nicola Neri.
55	D. Atwood and A. A. Petrov, Lifetime differences in heavy mesons with time independent measurements, Phys. Rev. D 71, 054032 (2005), arXiv: hep-ph/0207165 https://doi.org/10.1103/PhysRevD.71.054032

[1]	Peng-Fei Wei, Qi Luo, Huang-Qiu-Chen Wang, Shao-Jie Xiong, Bo Liu, Zhe Sun. *Local quantum Fisher information and quantum correlation in the mixed-spin Heisenberg XXZ* chain**[J]. Front. Phys. , 2024, 19(2): 21201-.
[2]	Ling-Yu Yao, Li-Juan Li, Xue-Ke Song, Liu Ye, Dong Wang. Manipulating the measured uncertainty under Lee−Yang dephasing channels through local $P T$ -symmetric operations[J]. Front. Phys. , 2023, 18(5): 51302-.
[3]	Long-Yu Cheng, Fei Ming, Fa Zhao, Liu Ye, Dong Wang. The uncertainty and quantum correlation of measurement in double quantum-dot systems[J]. Front. Phys. , 2022, 17(6): 61504-.
[4]	Guang-Yong Zhou, Lin-Jian Huang, Jun-Ya Pan, Li-Yun Hu, Jie-Hui Huang. Quantifying quantum correlation via quantum coherence[J]. Front. Phys. , 2018, 13(4): 130701-.

Viewed

Full text

Abstract

Cited

Shared

Discussed