×
近期发现有不法分子冒充我刊与作者联系,借此进行欺诈等不法行为,请广大作者加以鉴别,如遇诈骗行为,请第一时间与我刊编辑部联系确认(《中国物理C》(英文)编辑部电话:010-88235947,010-88236950),并作报警处理。
本刊再次郑重声明:
(1)本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137
(2)本刊采编系统作者中心是投稿的唯一路径,该系统为ScholarOne远程稿件采编系统,仅在本刊投稿网网址(https://mc03.manuscriptcentral.com/cpc)设有登录入口。本刊不接受其他方式的投稿,如打印稿投稿、E-mail信箱投稿等,若以此种方式接收投稿均为假冒。
(3)所有投稿均需经过严格的同行评议、编辑加工后方可发表,本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿,并收取发表费用,均为假冒。
                  
《中国物理C》(英文)编辑部
2024年10月30日

Anomalies in (semi)-leptonic B decays B± →τ± ν, B± →D τ± ν and B± → D* τ± ν, and possible resolution with sterile neutrino

  • The universality of the weak interactions can be tested in semileptonic bc transitions, and in particular in the ratios R (D*)) Γ(B → D*) τν)/Γ(B→ D*) lν) (where l=μ or e). Due to the recent differences between the experimental measurements of these observables by BaBar, Belle and LHCb on the one hand and the Standard Model predicted values on the other hand, we study the predicted ratios R (D*))=Γ(B → D*)τ +"missing")/Γ(B → D*) lν) in scenarios with an additional sterile heavy neutrino of mass~1 GeV. Further, we evaluate the newly defined ratio R(0) Γ(B →τ +"missing")/Γ(B →μν) in such scenarios, in view of the future possibilities of measuring the quantity at Belle-Ⅱ.
      PCAS:
  • 加载中
  • [1] N. Cabibbo, Phys. Rev. Lett., 10:531(1963) doi:10.1103/PhysRevLett.10.531 M. Kobayashi and T. Maskawa, Prog. Theor. Phys., 49:652(1973) doi:10.1143/PTP.49.652
    [2] H. Na et al (HPQCD Collaboration), Phys. Rev. D, 92(5):054510(2015); Phys. Rev. D, 93(11):119906(2016) doi:10.1103/PhysRevD.93.119906; 10.1103/PhysRevD.92.054510[arXiv:1505.03925[hep-lat]]
    [3] S. Fajfer, J. F. Kamenik, and I. Niandžić, Phys. Rev. D, 85:094025(2012) doi:10.1103/PhysRevD.85.094025[arXiv:1203.2654[hep-ph]]
    [4] M. Huschle et al (Belle Collaboration), Phys. Rev. D, 92(7):072014(2015) doi:10.1103/PhysRevD.92.072014[arXiv:1507.03233[hep-ex]] A. Abdesselam et al (Belle Collaboration),[arXiv:1603.06711[hep-ex]]
    [5] R. Aaij et al (LHCb Collaboration), Phys. Rev. Lett., 115(11):111803(2015) Addendum:[Phys. Rev. Lett., 115(15):159901(2015) doi:10.1103/PhysRevLett.115.159901; 10.1103/PhysRevLett.115.111803[arXiv:1506.08614[hep-ex]]
    [6] J. P. Lees et al (BaBar Collaboration), Phys. Rev. Lett., 109:101802(2012) doi:10.1103/PhysRevLett.109.101802[arXiv:1205.5442[hep-ex]]
    [7] Y. Amhis et al, arXiv:1612.07233[hep-ex]
    [8] C. S. Kim, G. Lopez-Castro, S. L. Tostado, and A. Vicente, Phys. Rev. D, 95:013003(2017) doi:10.1103/PhysRevD. 95.013003[arXiv:1610.04190[hep-ph]]
    [9] S. Fajfer, J. F. Kamenik, I. Niandžić, and J. Zupan, Phys. Rev. Lett., 109:161801(2012) doi:10.1103/PhysRevLett. 109.161801[arXiv:1206.1872[hep-ph]] A. Crivellin, C. Greub, and A. Kokulu, Phys. Rev. D, 86:054014(2012) doi:10.1103/PhysRevD.86.054014[arXiv:1206.2634[hep-ph]] A. Celis, M. Jung, X. Q. Li, and A. Pich, JHEP, 1301:054(2013) doi:10.1007/JHEP01(2013)054[arXiv:1210.8443[hep-ph]] J. A. Bailey et al, Phys. Rev. Lett., 109:071802(2012) doi:10.1103/PhysRevLett.109.071802[arXiv:1206.4992[hep-ph]] P. Ko, Y. Omura, and C. Yu, JHEP, 1303:151(2013) doi:10.1007/JHEP03(2013)151[arXiv:1212.4607[hep-ph]] A. Crivellin, J. Heeck, and P. Stoffer, Phys. Rev. Lett., 116(8):081801(2016) doi:10.1103/PhysRevLett.116.081801[arXiv:1507.07567[hep-ph]] J. M. Cline, Phys. Rev. D, 93(7):075017(2016) doi:10.1103/PhysRevD.93.075017[arXiv:1512.02210[hep-ph]] M. Wei and Y. Chong-Xing, arXiv:1702.01255[hep-ph] A. Celis, M. Jung, X. Q. Li, and A. Pich, arXiv:1612.07757[hep-ph] L. Wang, J. M. Yang, and Y. Zhang, arXiv:1610.05681[hep-ph]
    [10] D. Buttazzo, A. Greljo, G. Isidori, and D. Marzocca, JHEP, 1608:035(2016) doi:10.1007/JHEP08(2016)035[arXiv:1604.03940[hep-ph]]
    [11] M. Freytsis, Z. Ligeti, and J. T. Ruderman, Phys. Rev. D, 92(5):054018(2015) doi:10.1103/PhysRevD.92.054018[arXiv:1506.08896[hep-ph]]
    [12] X. G. He and G. Valencia, Phys. Rev. D, 87(1):014014(2013) doi:10.1103/PhysRevD.87.014014[arXiv:1211.0348[hep-ph]]; A. Greljo, G. Isidori, and D. Marzocca, JHEP, 1507:142(2015) doi:10.1007/JHEP07(2015)142[arXiv:1506.01705[hep-ph]]; S. M. Boucenna, A. Celis, J. Fuentes-Martin, A. Vicente, and J. Virto, Phys. Lett. B, 760:214(2016) doi:10.1016/j.physletb.2016.06.067[arXiv:1604.03088[hep-ph]]; S. M. Boucenna, A. Celis, J. Fuentes-Martin, A. Vicente, and J. Virto, JHEP; 1612:059(2016) doi:10.1007/JHEP12(2016)059[arXiv:1608.01349[hep-ph]]
    [13] B. Bhattacharya, A. Datta, J. P. Guvin, D. London, and R. Watanabe, JHEP, 1701:015(2017) doi:10.1007/JHEP01(2017)015[arXiv:1609.09078[hep-ph]]
    [14] M. Tanaka and R. Watanabe, Phys. Rev. D, 87(3):034028(2013) doi:10.1103/PhysRevD.87.034028[arXiv:1212.1878[hep-ph]]; N. G. Deshpande and A. Menon, JHEP, 1301:025(2013) doi:10.1007/JHEP01(2013)025[arXiv:1208.4134[hep-ph]]; Y. Sakaki, M. Tanaka, A. Tayduganov, and R. Watanabe, Phys. Rev. D, 88(9):094012(2013) doi:10.1103/PhysRevD.88.094012[arXiv:1309.0301[hep-ph]]; I. Dorner, S. Fajfer, N. Konik, and I. Nandžić, JHEP, 1311:(2013) 084 doi:10.1007/JHEP11(2013)084[arXiv:1306.6493[hep-ph]]; R. Alonso, B. Grinstein, and J. Martin Camalich, JHEP, 1510:184(2015) doi:10.1007/JHEP10(2015)184[arXiv:1505.05164[hep-ph]]; M. Bauer and M. Neubert, Phys. Rev. Lett., 116(14):141802(2016) doi:10.1103/PhysRevLett.116.141802[arXiv:1511.01900[hep-ph]]; R. Barbieri, G. Isidori, A. Pattori, and F. Senia, Eur. Phys. J. C, 76(2):67(2016) doi:10.1140/epjc/s10052-016-3905-3[arXiv:1512.01560[hep-ph]]; S. Fajfer and N. Konik, Phys. Lett. B, 755:270(2016) doi:10.1016/j.physletb.2016.02.018[arXiv:1511.06024[hep-ph]]; C. Hati, G. Kumar and N. Mahajan, JHEP, 1601:117(2016) doi:10.1007/JHEP01(2016)117[arXiv:1511.03290[hep-ph]]; C. Hati, Phys. Rev. D, 93(7):075002(2016) doi:10.1103/PhysRevD.93.075002[arXiv:1601.02457[hep-ph]]; F. F. Deppisch, S. Kulkarni, H. Ps, and E. Schumacher, Phys. Rev. D, 94(1):013003(2016) doi:10.1103/PhysRevD.94.013003[arXiv:1603.07672[hep-ph]]; J. Zhu, H. M. Gan, R. M. Wang, Y. Y. Fan, Q. Chang, and Y. G. Xu, Phys. Rev. D, 93(9):094023(2016) doi:10.1103/PhysRevD.93.094023[arXiv:1602.06491[hep-ph]]; X. Q. Li, Y. D. Yang, and X. Zhang, JHEP, 1608:054(2016) doi:10.1007/JHEP08(2016)054[arXiv:1605.09308[hep-ph]]; N. G. Deshpande and X. G. He, arXiv:1608.04817[hep-ph]; D. Bečirević, S. Fajfer, N. Konik, and O. Sumensari, Phys. Rev. D, 94(11):115021(2016) doi:10.1103/PhysRevD.94.115021[arXiv:1608.08501[hep-ph]]; S. Sahoo, R. Mohanta, and A. K. Giri, arXiv:1609.04367[hep-ph]; G. Hiller, D. Loose, and K. Schnwald, JHEP, 1612:027(2016) doi:10.1007/JHEP12(2016)027[arXiv:1609.08895[hep-ph]]; D. Das, C. Hati, G. Kumar, and N. Mahajan, Phys. Rev. D, 94:055034(2016) doi:10.1103/PhysRevD.94.055034[arXiv:1605.06313[hep-ph]]; X. Q. Li, Y. D. Yang, and X. Zhang, arXiv:1611.01635[hep-ph]
    [15] L. Calibbi, A. Crivellin, and T. Ota, Phys. Rev. Lett., 115:181801(2015) doi:10.1103/PhysRevLett.115.181801[arXiv:1506.02661[hep-ph]]
    [16] A. Abada, A. M. Teixeira, A. Vicente, and C. Weiland, JHEP, 1402:091(2014) doi:10.1007/JHEP02(2014)091[arXiv:1311.2830[hep-ph]]
    [17] G. Cvetič and C. S. Kim, Phys. Rev. D, 94(5):053001(2016) Erratum:[Phys. Rev. D, 95(3):039901(2017)] doi:10.1103/PhysRevD.95.039901, 10.1103/PhysRevD.94.053001[arXiv:1606.04140[hep-ph]]
    [18] P. Biancofiore, P. Colangelo, and F. De Fazio, Phys. Rev. D, 87(7):074010(2013) doi:10.1103/PhysRevD.87.074010[arXiv:1302.1042[hep-ph]]; S. Bhattacharya, S. Nandi, and S. K. Patra, Phys. Rev. D, 93(3):034011(2016) doi:10.1103/PhysRevD.93.034011[arXiv:1509.07259[hep-ph]]; R. Alonso, A. Kobach, and J. Martin Camalich, Phys. Rev. D, 94(9):094021(2016) doi:10.1103/PhysRevD.94.094021[arXiv:1602.07671[hep-ph]]; A. K. Alok, D. Kumar, S. Kumbhakar, and S. U. Sankar, arXiv:1606.03164[hep-ph]; D. Bardhan, P. Byakti, and D. Ghosh, arXiv:1610.03038[hep-ph]; M. A. Ivanov, J. G. Krner, and C. T. Tran, Phys. Rev. D, 94(9):094028(2016) doi:10.1103/PhysRevD.94.094028[arXiv:1607.02932[hep-ph]]; Phys. Rev. D, 95(3):036021(2017) doi:10.1103/PhysRevD.95.036021[arXiv:1701.02937[hep-ph]]
    [19] Y. Y. Fan, Z. J. Xiao, R. M. Wang, and B. Z. Li, Science Bulletin Vol. 60(2015) 2009-2015 doi:10.1007/s11434-015-0959-9[arXiv:1505.07169[hep-ph]]
    [20] F. Feruglio, P. Paradisi, and A. Pattori, Phys. Rev. Lett., 118(1):011801(2017) doi:10.1103/PhysRevLett.118.011801[arXiv:1606.00524[hep-ph]]; arXiv:1705.00929[hep-ph]
    [21] K. Hara et al (Belle Collab.), Phys. Rev. Lett., 110:131801(2013); J.P. Lees et al (BaBar Collab.), Phys. Rev. D, 88:031102(R) (2013); B. Aubert et al (BaBar Collab.), Phys. Rev. D, 81:051101(R) (2010); K. Hara et al (Belle Collab.), Phys. Rev. D, 82:071101(R) (2010)
    [22] K.A. Olive et al (Particle Data Group), Chin. Phys. C, 38:090001(2014)
    [23] W. S. Hou, Phys. Rev. D, 48:2342(1993)
    [24] J. F. Gunion, H. E. Haber, G. Kane, and S. Dawson, The Higgs Hunter's Guide, (Cambridge:Perseus Publishing, Massachusetts, 1990)
    [25] P. Minkowski, Phys. Lett. B, 67:421(1977); M. Gell-Mann, P. Ramond, and R. Slansky, in Sanibel Conference, The Family Group in Grand Unified Theories, Febr. 1979, CALT-68-700, reprinted in hep-ph/9809459; Complex Spinors and Unified Theories, Print 80-0576, published in:D. Freedman et al, (Eds.), Supergravity, (Amsterdam:North-Holland, 1979); T. Yanagida, Conf. Proc. C, 7902131:95(1979); S. L. Glashow, in:M. Lvy et al, (Eds.), Quarks and Leptons, (New York:Cargese, Plenum, 1980) p. 707; R. N. Mohapatra and G. Senjanović, Phys. Rev. Lett., 44:912(1980)
    [26] D. Wyler and L. Wolfenstein, Nucl. Phys. B, 218:205(1983); E. Witten, Nucl. Phys. B, 258:75(1985); R. N. Mohapatra and J. W. F. Valle, Phys. Rev. D, 34:1642(1986); A. Pilaftsis and T. E. J. Underwood, Phys. Rev. D, 72:113001(2005)[hep-ph/0506107]; M. Malinsky, J. C. Romao, and J. W. F. Valle, Phys. Rev. Lett., 95:161801(2005)[hep-ph/0506296]; P. S. B. Dev and R. N. Mohapatra, Phys. Rev. D, 81:013001(2010)[arXiv:0910.3924[hep-ph]]; P. S. B. Dev and A. Pilaftsis, Phys. Rev. D, 86:113001(2012)[arXiv:1209.4051[hep-ph]]; C. H. Lee, P. S. Bhupal Dev, and R. N. Mohapatra, Phys. Rev. D, 88(9):093010(2013)[arXiv:1309.0774[hep-ph]]; A. Das and N. Okada, Phys. Rev. D, 88:113001(2013)[arXiv:1207.3734[hep-ph]]; A. Das, P. S. Bhupal Dev, and N. Okada, Phys. Lett. B, 735:364(2014)[arXiv:1405.0177[hep-ph]]
    [27] W. Buchmller and C. Greub, Nucl. Phys. B, 363:345(1991); J. Kersten and A. Y. Smirnov, Phys. Rev. D, 76:073005(2007)[arXiv:0705.3221[hep-ph]]; F. del Aguila, J. A. Aguilar-Saavedra, J. de Blas, and M. Zralek, Acta Phys. Polon. B, 38 (2007) 3339[arXiv:0710.2923[hep-ph]]; X. G. He, S. Oh, J. Tandean, and C. C. Wen, Phys. Rev. D, 80:073012(2009)[arXiv:0907.1607[hep-ph]]; A. Ibarra, E. Molinaro, and S. T. Petcov, JHEP, 1009:108(2010)[arXiv:1007.2378[hep-ph]]; T. Asaka, S. Blanchet, and M. Shaposhnikov, Phys. Lett. B, 631:151(2005)[hep-ph/0503065]; T. Asaka and M. Shaposhnikov, Phys. Lett. B, 620:17(2005)[hep-ph/0505013]; D. Gorbunov and M. Shaposhnikov, JHEP, 0710:015(2007)[JHEP, 1311:101(2013)[arXiv:0705.1729[hep-ph]]; A. Boyarsky, O. Ruchayskiy, and M. Shaposhnikov, Ann. Rev. Nucl. Part. Sci., 59:191(2009)[arXiv:0901.0011[hep-ph]]; L. Canetti, M. Drewes, and M. Shaposhnikov, Phys. Rev. Lett., 110(6):061801(2013)[arXiv:1204.3902[hep-ph]]; L. Canetti, M. Drewes, T. Frossard, and M. Shaposhnikov, Phys. Rev. D, 87(9):093006(2013)[arXiv:1208.4607[hep-ph]]; L. Canetti, M. Drewes, and B. Garbrecht, Phys. Rev. D, 90(12):125005(2014)[arXiv:1404.7114[hep-ph]]; M. Drewes and B. Garbrecht, arXiv:1502.00477[hep-ph]
    [28] A. Das and N. Okada, Phys. Rev. D, 93(3):033003(2016) doi:10.1103/PhysRevD.93.033003[arXiv:1510.04790[hep-ph]]; A. Das, P. Konar, and S. Majhi, JHEP, 1606:019(2016) doi:10.1007/JHEP06(2016)019[arXiv:1604.00608[hep-ph]]; A. Das, arXiv:1701.04946[hep-ph]
    [29] A. Atre, T. Han, S. Pascoli, and B. Zhang, JHEP, 0905:030(2009) doi:10.1088/1126-6708/2009/05/030[arXiv:0901.3589[hep-ph]]
    [30] A. Pilaftsis, Z. Phys. C, 55:275(1992)[hep-ph/9901206]
    [31] Z. Maki, M. Nakagawa, and S. Sakata, Prog. Theor. Phys., 28:870(1962); B. Pontecorvo, Zh. Eksp. Teor. Fiz., 53:1717(1967)[Sov. Phys. JETP, 26:984(1968)]
    [32] J. C. Pati and A. Salam, Phys. Rev. D, 10:275(1974) Erratum:[Phys. Rev. D, 11:703(1975)]. doi:10.1103/PhysRevD.10.275, 10.1103/PhysRevD.11.703.2; R. N. Mohapatra and J. C. Pati, Phys. Rev. D, 11:566(1975) doi:10.1103/PhysRevD.11.566; Phys. Rev. D, 11:2558(1975) doi:10.1103/PhysRevD.11.2558
    [33] R. N. Mohapatra and G. Senjanović, Phys. Rev. Lett., 44:912(1980) doi:10.1103/PhysRevLett.44.912; Phys. Rev. D, 23:165(1981) doi:10.1103/PhysRevD.23.165
    [34] P. Langacker and S. U. Sankar, Phys. Rev. D, 40:1569(1989) doi:10.1103/PhysRevD.40.1569
    [35] A. Maiezza, M. Nemevek, F. Nesti, and G. Senjanović, Phys. Rev. D, 82:055022(2010) doi:10.1103/PhysRevD.82.055022[arXiv:1005.5160[hep-ph]]
    [36] CMS Collaboration, CMS-PAS-EXO-16-045
    [37] J. Orloff, A. N. Rozanov, and C. Santoni, Phys. Lett. B, 550:8(2002) doi:10.1016/S0370-2693(02)02769-7[hep-ph/0208075]
    [38] P. Abreu et al (DELPHI Collaboration), Z. Phys. C, 74:57(1997) Erratum:[Z. Phys. C, 75:580(1997)] doi:10.1007/s002880050370
    [39] W. J. Marciano and A. Sirlin, Phys. Rev. Lett., 61:1815(1988) doi:10.1103/PhysRevLett.61.1815
    [40] A. Abada, D. Bečirević, O. Sumensari, C. Weiland, and R. Zukanovich Funchal, Phys. Rev. D, 95(7):075023(2017) doi:10.1103/PhysRevD.95.075023[arXiv:1612.04737[hep-ph]]
    [41] I. Caprini, L. Lellouch, and M. Neubert, Nucl. Phys. B, 530:153(1998) doi:10.1016/S0550-3213(98)00350-2[hep-ph/9712417]
    [42] M. Y. Khlopov, Sov. J. Nucl. Phys., 28:583(1978)[Yad. Fiz., 28:1134(1978)]
    [43] R. Glattauer et al (Belle Collaboration), Phys. Rev. D, 93(3):032006(2016) doi:10.1103/PhysRevD.93.032006[arXiv:1510.03657[hep-ex]]
    [44] A. Sirlin, Nucl. Phys. B, 196:83(1982) doi:10.1016/0550-3213(82)90303-0
    [45] W. Dungel et al (Belle Collaboration), Phys. Rev. D, 82:112007(2010) doi:10.1103/PhysRevD.82.112007[arXiv:1010.5620[hep-ex]].
    [46] C. Patrignani et al (Particle Data Group Collaboration), Chin. Phys. C, 40(10):100001(2016) doi:10.1088/1674-1137/40/10/100001
  • 加载中

Get Citation
Gorazd Cvetic, Francis Halzen, C. S. Kim and Sechul Oh. Anomalies in (semi)-leptonic B decays B± →τ± ν, B± →D τ± ν and B± → D* τ± ν, and possible resolution with sterile neutrino[J]. Chinese Physics C, 2017, 41(11): 113102. doi: 10.1088/1674-1137/41/11/113102
Gorazd Cvetic, Francis Halzen, C. S. Kim and Sechul Oh. Anomalies in (semi)-leptonic B decays B± →τ± ν, B± →D τ± ν and B± → D* τ± ν, and possible resolution with sterile neutrino[J]. Chinese Physics C, 2017, 41(11): 113102.  doi: 10.1088/1674-1137/41/11/113102 shu
Milestone
Received: 2017-07-12
Fund

    G.C. acknowledges the support by FONDECYT (Chile) (1130599), The work of C.S.K. was supported in part by the NRF grant funded by the Korean government of the MEST (2016R1D1A1A02936965)

Article Metric

Article Views(1558)
PDF Downloads(19)
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

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Email This Article

Title:
Email:

Anomalies in (semi)-leptonic B decays B± →τ± ν, B± →D τ± ν and B± → D* τ± ν, and possible resolution with sterile neutrino

    Corresponding author: Francis Halzen, gorazd.cvetic@usm.cl
    Corresponding author: C. S. Kim, gorazd.cvetic@usm.cl
    Corresponding author: Sechul Oh, gorazd.cvetic@usm.cl
  • 1.  Wisconsin IceCube Particle Astrophysics Center and Department of Physics, University of Wisconsin, Madison, WI, 53706, USA
  • 2.  Department of Physics and IPAP, Yonsei University, Seoul 120-749, Korea
  • 3.  University College, Yonsei University, Incheon 406-840, Korea
Fund Project:  G.C. acknowledges the support by FONDECYT (Chile) (1130599), The work of C.S.K. was supported in part by the NRF grant funded by the Korean government of the MEST (2016R1D1A1A02936965)

Abstract: The universality of the weak interactions can be tested in semileptonic bc transitions, and in particular in the ratios R (D*)) Γ(B → D*) τν)/Γ(B→ D*) lν) (where l=μ or e). Due to the recent differences between the experimental measurements of these observables by BaBar, Belle and LHCb on the one hand and the Standard Model predicted values on the other hand, we study the predicted ratios R (D*))=Γ(B → D*)τ +"missing")/Γ(B → D*) lν) in scenarios with an additional sterile heavy neutrino of mass~1 GeV. Further, we evaluate the newly defined ratio R(0) Γ(B →τ +"missing")/Γ(B →μν) in such scenarios, in view of the future possibilities of measuring the quantity at Belle-Ⅱ.

    HTML

Reference (46)

目录

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return