# Lepton number violation in D meson decay

• The lepton number violation (LNV) process can be induced by introducing a fourth generation heavy Majorana neutrino, which is coupled to the charged leptons of the Standard Model (SM). There have been many previous studies on the leptonic number violating decay processes with this mechanism. We follow the trend to study the process: D → Kllπ with the same-sign dilepton final states. We restrict ourselves to certain neutrino mass regions, in which the heavy neutrino could be on-shell and the dominant contribution to the branching fraction comes from the resonance enhanced effect. Applying the narrow width approximation (NWA), we found that the upper limit for the branching fractions for D0 → K-l+l+π- are generally at the order of 10-12 to 10-9, if we take the most stringent upper limit bound currently available in the literature for the mixing matrix elements. We also provide the constraints, which is competitive compared to the LNV B decays, on the mixing matrix element |VeN|2 based on the upper limit of D0 → K- e+ e+ π- estimated from the Monte-Carlo (MC) study at BESⅢ. Although the constraints are worse than the ones from (0νββ) decay in the literature, the future experiment at the charm factory may yield more stringent constraints.
PCAS:
•  [1] Fukuda Y et al. (Super-Kamiokande collaboration) Phys. Rev. Lett. 1998 81: 1562[2] Ahmad Q R et al. (SNO collaboration) Phys. Rev. Lett. 2002 89: 011301[3] Eguchi K et al. (KamLAND collaboration) Phys. Rev. Lett. 2003 90: 021802[4] An F P et al. (DAYA-BAY collaboration) Phys. Rev. Lett. 2012 108: 171803[5] Georgi H, Glashow S L. Phys. Rev. Lett. 1974 32: 438[6] Minkowski P. Phys. Lett. B 1977 67: 421[7] Gell-Mann M, Ramond P, Slansky R. Proceedings. of the supergravity Stony Brook Workshop. New York, 1979. eds van Nieuwenhuizen P, Freedman D. North-Holland: Amsterdam[8] Yanagida T. Proceedings of the Workshop on Unified Theories and Baryon Number in the Universe. Tsukuba, Japan 1979. 79-18[9] Glashow S L. Quarks and Leptons, Cargése. 1979[10] Weinberg S. Phys. Rev. Lett., 1979, 43: 1566[11] Mohapatra R N, Senjanovic G. Phys. Rev. Lett., 1980, 44: 912[12] Klapdor-Kleingrothaus H V, Dietz A, Harney H L et al Mod. Phys. Lett. A, 2001, 16: 2409 [hep-ph/0201231][13] Avignone F T, Elliott S R, Engel J. Rev. Mod. Phys., 2008, 80: 481[14] Doi M, Kotani T, Takasugi E. Prog. Theor. Phys. Suppl., 1985, 83: 1[15] Bilenky S M, Petcov S T. Rev. Mod. Phys., 1987, 59: 671[16] Bilenky S M, Pascoli S, Petcov S T. Phys. Rev. D, 2001, 64: 053010[17] Petcov S T. Phys. Scr. T, 2005, 121: 94[18] Pascoli S, Petcov S T. Phys. Rev. D, 2008, 77: 113003[19] Bilenky S M, Giunti C. Mod. Phys. Lett. A, 2012, 27: 1230015[20] Bilenky S M. Phys. Part. Nucl., 2010, 41: 690[21] Bilenky S M. Lect. Notes Phys., 2010, 817: 139[22] Mitra M, Senjanovic G, Vissani. F. Nucl. Phys. B, 2012, 856: 26[23] Dueck A, Rodejohann W, Zuber K. Phys. Rev. D, 2011, 83: 113010[24] Doi M, Kotani T. Prog. Theor. Phys., 1993, 89: 139[25] Furry W H. Phys. Rev., 1939, 56: 1184[26] Atre A et al. JHEP, 2009, 0905: 030[27] Lees J P et al. (BaBar collaboration). Phys. Rev. D, 2011, 84: 072006[28] Lees J P et al. (BaBar collaboration). Phys. Rev. D, 2012, 85: 071103[29] Aaij R et al. (LHCb collaboration). Phys. Rev. Lett., 2012, 108: 101601[30] Aaij R et al. (LHCb collaboration). Phys. Rev. D, 2012, 85: 112004[31] Seon O et al. (Belle collaboration). Phys. Rev. D, 2011, 84: 071106[32] Miyazaki Y et al. (Belle collaboration). Phys. Lett. B, 2013, 719: 346[33] Liventsev D et al. (Belle collaboration). Phys. Rev. D, 2013, 87: 071102[34] Beringer J et al. (Particle Data Group). Phys. Rev. D, 2012, 86: 010001[35] Littenberg L S, Shrock R E. Phys. Rev. Lett., 1992, 68: 443[36] Littenberg L S, Shrock R. Phys. Lett. B, 2000, 491: 285[37] Cvetic G et al. Phys. Rev. D, 2010, 82: 053010[38] ZHANG Jin-Mei, WANG Guo-Li. Eur. Phys. J. C, 2011, 71: 1715[39] Ali A, Borisov A V, Zamorin N B. Eur. Phys. J. C, 2001, 21: 123[40] Buras A J, Jamin M, Weisz P H. Nucl. Phys. B, 1980, 347: 491[41] Ilakovac A. Phys. Rev. D, 1996, 54: 5653[42] Gribanov V, Kovalenko S, Schmidt I. Nucl. Phys. B, 2001, 607: 355[43] Helo J C, Kovalenko S, Schmidt I. Nucl. Phys. B, 2011, 853: 80[44] Quintero N, Lopez Castro G, Delepine G. Phys. Rev. D, 2001, 84: 096011; 2012, 86: 079905[45] Lopez Castro G, Quintero N. Phys. Rev. D, 2012, 85: 076006; 86: 079904[46] Castro G L, Quintero L. arXiv:1212.0037 [hep-ph][47] Aitala E M et al. (E791 collaboration). Phys. Rev. Lett., 2011, 86: 765[48] LI Hai-Bo. Nucl. Phys. Proc. Suppl., 2012, 233: 185[49] LI Hai-Bo. Nucl. Phys. B (Proc. Suppl.), 2006, 162: 312[50] QIN Xiao-Shuai. Lepton Number Voilation in D Meson Decay (PhD Thesis), Beijing: Institute of High Energy Physics, CAS 2013 (in Chinese)[51] Bar-Shalom S et al. Phys. Lett. B, 2006, 643: 342[52] Aguila F, Blas J, Perez-Victoria M. Phys. Rev. D, 2008, 78: 013010[53] Amo Sanchez F et al. (BaBar collaboration). Phys. Rev. D, 2011, 83: 072001[54] Maltoni F, Stelzer T. JHEP, 2003, 0302: 027[55] Becirevic D, Kaidalov A B. Phys. Lett. B, 2000, 478: 417[56] Besson D et al. (CLEO collaboration). Phys. Rev. D, 2009, 80: 032005[57] Benes P et al. Phys. Rev. D, 2005, 71: 077901[58] Asner D M. Frascati Phys. Ser, 2006, 41: 377[59] YUAN Han, WANG Tian-Hong, WANG Guo-Li et al. arXiv: 1304.3810 [hep-ph]

Get Citation
DONG Hai-Rong, FENG Feng and LI Hai-Bo. Lepton number violation in D meson decay[J]. Chinese Physics C, 2015, 39(1): 013101. doi: 10.1088/1674-1137/39/1/013101
DONG Hai-Rong, FENG Feng and LI Hai-Bo. Lepton number violation in D meson decay[J]. Chinese Physics C, 2015, 39(1): 013101.
Milestone
Received: 2014-03-13
Revised: 2014-06-25
Article Metric

Article Views(975)
PDF Downloads(280)
Cited by(0)
Policy on re-use
To reuse of Open Access content published by CPC, for content published under the terms of the Creative Commons Attribution 3.0 license (“CC CY”), the users don’t need to request permission to copy, distribute and display the final published version of the article and to create derivative works, subject to appropriate attribution.
###### 通讯作者: 陈斌, bchen63@163.com
• 1.

沈阳化工大学材料科学与工程学院 沈阳 110142

Title:
Email:

## Lepton number violation in D meson decay

###### Corresponding author: LI Hai-Bo,

Abstract: The lepton number violation (LNV) process can be induced by introducing a fourth generation heavy Majorana neutrino, which is coupled to the charged leptons of the Standard Model (SM). There have been many previous studies on the leptonic number violating decay processes with this mechanism. We follow the trend to study the process: D → Kllπ with the same-sign dilepton final states. We restrict ourselves to certain neutrino mass regions, in which the heavy neutrino could be on-shell and the dominant contribution to the branching fraction comes from the resonance enhanced effect. Applying the narrow width approximation (NWA), we found that the upper limit for the branching fractions for D0 → K-l+l+π- are generally at the order of 10-12 to 10-9, if we take the most stringent upper limit bound currently available in the literature for the mixing matrix elements. We also provide the constraints, which is competitive compared to the LNV B decays, on the mixing matrix element |VeN|2 based on the upper limit of D0 → K- e+ e+ π- estimated from the Monte-Carlo (MC) study at BESⅢ. Although the constraints are worse than the ones from (0νββ) decay in the literature, the future experiment at the charm factory may yield more stringent constraints.

Reference (1)

### 目录

/

DownLoad:  Full-Size Img  PowerPoint