Search for lepton flavor violating decays τ- → ℓ- π0, ℓ- η, ℓ- η′

Y. Enari; N. Sato; K. Abe; K. Abe; H. Aihara; Y. Asano; V. Aulchenko; S. Bahinipati; A. M. Baakich; I. Bedny; U. Bitenc; I. Bizjak; S. Blyth; A. Bondar; A. Bozek; M. Bračko; J. Brodzicka; M. C. Chang; Y. Chao; A. Chen; W. T. Chen; B. G. Cheon; R. Chistov; Y. Choi; A. Chuvikov; J. Dalseno; M. Dash; A. Drutskoy; S. Eidelman; D. Epifanov; F. Fang; S. Fratina; N. Gabyshev; T. Gershon; G. Gokhroo; B. Golob; A. Gorišek; J. Haba; K. Hayasaka; H. Hayashii; M. Hazumi; L. Hinz; T. Hokuue; Y. Hoshi; S. Hou; W. S. Hou; T. Iijima; A. Imoto; K. Inami; A. Ishikawa; R. Itoh; M. Iwasaki; Y. Iwasaki; J. H. Kang; J. S. Kang; P. Kapusta; N. Katayama; H. Kawai; T. Kawasaki; H. R. Khan; H. Kichimi; H. J. Kim; S. M. Kim; S. Korpar; P. Krokovny; S. Kumar; C. C. Kuo; A. Kuzmin; Y. J. Kwon; G. Leder; S. E. Lee; T. Lesiak; J. Li; S. W. Lin; D. Liventsev; F. Mandl; T. Matsumoto; Y. Mikami; W. Mitaroff; H. Miyake; H. Miyata; R. Mizuk; G. R. Moloney; T. Nagamine; Y. Nagasaka; E. Nakano; M. Nakao; H. Nakazawa; Z. Natkaniec; S. Nishida; O. Nitoh; S. Ogawa; T. Ohshima; T. Okabe; S. Okuno; S. L. Olsen; W. Ostrowicz; H. Ozaki; P. Pakhlov; H. Palka; C. W. Park; N. Parslow; L. S. Peak; L. E. Piilonen; N. Root; H. Sagawa; Y. Sakai; T. Schietinger; O. Schneider; P. Schönmeier; J. Schümann; K. Senyo; M. E. Sevior; T. Shibata; H. Shibuya; B. Shwartz; J. B. Singh; A. Somov; N. Soni; R. Stamen; S. Stanič; M. Starič; K. Sumisawa; T. Sumiyoshi; O. Tajima; F. Takasaki; K. Tamai; N. Tamura; M. Tanaka; Y. Teramoto; X. C. Tian; T. Tsukamoto; S. Uehara; K. Ueno; T. Uglov; S. Uno; P. Urquijo; Y. Ushiroda; G. Varner; S. Villa; C. C. Wang; C. H. Wang; M. Watanabe; Q. L. Xie; B. D. Yabsley; A. Yamaguchi; Y. Yamashita; M. Yamauchi; Heyoung Yang; J. Ying; J. Zhang; L. M. Zhang; Z. P. Zhang; V. Zhilich; D. Žontar

doi:10.1016/j.physletb.2005.07.021

Search for lepton flavor violating decays τ^- → ℓ^- π⁰, ℓ^- η, ℓ^- η′

Y. Enari, N. Sato, K. Abe, K. Abe, H. Aihara, Y. Asano, V. Aulchenko, S. Bahinipati, A. M. Baakich, I. Bedny, U. Bitenc, I. Bizjak, S. Blyth, A. Bondar, A. Bozek, M. Bračko, J. Brodzicka, M. C. Chang, Y. Chao, A. ChenW. T. Chen, B. G. Cheon, R. Chistov, Y. Choi, A. Chuvikov, J. Dalseno, M. Dash, A. Drutskoy, S. Eidelman, D. Epifanov, F. Fang, S. Fratina, N. Gabyshev, T. Gershon, G. Gokhroo, B. Golob, A. Gorišek, J. Haba, K. Hayasaka, H. Hayashii, M. Hazumi, L. Hinz, T. Hokuue, Y. Hoshi, S. Hou, W. S. Hou, T. Iijima, A. Imoto, K. Inami, A. Ishikawa, R. Itoh, M. Iwasaki, Y. Iwasaki, J. H. Kang, J. S. Kang, P. Kapusta, N. Katayama, H. Kawai, T. Kawasaki, H. R. Khan, H. Kichimi, H. J. Kim, S. M. Kim, S. Korpar, P. Krokovny, S. Kumar, C. C. Kuo, A. Kuzmin, Y. J. Kwon, G. Leder, S. E. Lee, T. Lesiak, J. Li, S. W. Lin, D. Liventsev, F. Mandl, T. Matsumoto, Y. Mikami, W. Mitaroff, H. Miyake, H. Miyata, R. Mizuk, G. R. Moloney, T. Nagamine, Y. Nagasaka, E. Nakano, M. Nakao, H. Nakazawa, Z. Natkaniec, S. Nishida, O. Nitoh, S. Ogawa, T. Ohshima, T. Okabe, S. Okuno, S. L. Olsen, W. Ostrowicz, H. Ozaki, P. Pakhlov, H. Palka, C. W. Park, N. Parslow, L. S. Peak, L. E. Piilonen, N. Root, H. Sagawa, Y. Sakai, T. Schietinger, O. Schneider, P. Schönmeier, J. Schümann, K. Senyo, M. E. Sevior, T. Shibata, H. Shibuya, B. Shwartz, J. B. Singh, A. Somov, N. Soni, R. Stamen, S. Stanič, M. Starič, K. Sumisawa, T. Sumiyoshi, O. Tajima, F. Takasaki, K. Tamai, N. Tamura, M. Tanaka, Y. Teramoto, X. C. Tian, T. Tsukamoto, S. Uehara, K. Ueno, T. Uglov, S. Uno, P. Urquijo, Y. Ushiroda, G. Varner, S. Villa, C. C. Wang, C. H. Wang, M. Watanabe, Q. L. Xie, B. D. Yabsley, A. Yamaguchi, Y. Yamashita, M. Yamauchi, Heyoung Yang, J. Ying, J. Zhang, L. M. Zhang, Z. P. Zhang, V. Zhilich, D. Žontar

Department of Physics

Research output: Contribution to journal › Article › peer-review

30 Citations (Scopus)

Abstract

We have searched for lepton flavor violating semileptonic τ^- decays using a data sample of 153.8 fb^-1 accumulated with the Belle detector at the KEKB e⁺e^- collider. For the six decay modes studied, the observed yield is compatible with the estimated background and the following upper limits are set at the 90% confidence level: B(τ^-→e^-η)<2.3×10^-7, B(τ^-→μ^-η)<1.5×10^-7, B(τ^-→e^-π0)<1.9×10-7, B(τ-→μ-π0)<4.1×10-7, B(τ-→e-η′) <10×10-7, and B(τ-→μ-η′)<4.7×10-7. These results are 10 to 64 times more restrictive than previous limits.

Original language	English
Pages (from-to)	218-228
Number of pages	11
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	622
Issue number	3-4
DOIs	https://doi.org/10.1016/j.physletb.2005.07.021
Publication status	Published - 2005 Sept 1

Bibliographical note

Funding Information:
We thank the KEKB group for the excellent operation of the accelerator, the KEK cryogenics group for the efficient operation of the solenoid, and the KEK computer group and the National Institute of Informatics for valuable computing and Super-SINET network support. We are grateful to A. Ilakovac for fruitful discussions. We acknowledge support from the Ministry of Education, Culture, Sports, Science, and Technology of Japan and the Japan Society for the Promotion of Science; the Australian Research Council and the Australian Department of Education, Science and Training; the National Science Foundation of China under contract No. 10175071; the Department of Science and Technology of India; the BK21 program of the Ministry of Education of Korea and the CHEP SRC program of the Korea Science and Engineering Foundation; the Polish State Committee for Scientific Research under contract No. 2P03B 01324; the Ministry of Science and Technology of the Russian Federation; the Ministry of Higher Education, Science and Technology of the Republic of Slovenia; the Swiss National Science Foundation; the National Science Council and the Ministry of Education of Taiwan; and the US Department of Energy.

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

Access to Document

10.1016/j.physletb.2005.07.021

Cite this

Enari, Y., Sato, N., Abe, K., Abe, K., Aihara, H., Asano, Y., Aulchenko, V., Bahinipati, S., Baakich, A. M., Bedny, I., Bitenc, U., Bizjak, I., Blyth, S., Bondar, A., Bozek, A., Bračko, M., Brodzicka, J., Chang, M. C., Chao, Y., ... Žontar, D. (2005). Search for lepton flavor violating decays τ^- → ℓ^- π⁰, ℓ^- η, ℓ^- η′. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 622(3-4), 218-228. https://doi.org/10.1016/j.physletb.2005.07.021

@article{62e01e1ec1f24760800da233d2dbf2c0,

title = "Search for lepton flavor violating decays τ- → ℓ- π0, ℓ- η, ℓ- η′",

abstract = "We have searched for lepton flavor violating semileptonic τ- decays using a data sample of 153.8 fb-1 accumulated with the Belle detector at the KEKB e+e- collider. For the six decay modes studied, the observed yield is compatible with the estimated background and the following upper limits are set at the 90% confidence level: B(τ-→e-η)<2.3×10-7, B(τ-→μ-η)<1.5×10-7, B(τ-→e-π0)<1.9×10-7, B(τ-→μ-π0)<4.1×10-7, B(τ-→e-η′) <10×10-7, and B(τ-→μ-η′)<4.7×10-7. These results are 10 to 64 times more restrictive than previous limits.",

author = "Y. Enari and N. Sato and K. Abe and K. Abe and H. Aihara and Y. Asano and V. Aulchenko and S. Bahinipati and Baakich, {A. M.} and I. Bedny and U. Bitenc and I. Bizjak and S. Blyth and A. Bondar and A. Bozek and M. Bra{\v c}ko and J. Brodzicka and Chang, {M. C.} and Y. Chao and A. Chen and Chen, {W. T.} and Cheon, {B. G.} and R. Chistov and Y. Choi and A. Chuvikov and J. Dalseno and M. Dash and A. Drutskoy and S. Eidelman and D. Epifanov and F. Fang and S. Fratina and N. Gabyshev and T. Gershon and G. Gokhroo and B. Golob and A. Gori{\v s}ek and J. Haba and K. Hayasaka and H. Hayashii and M. Hazumi and L. Hinz and T. Hokuue and Y. Hoshi and S. Hou and Hou, {W. S.} and T. Iijima and A. Imoto and K. Inami and A. Ishikawa and R. Itoh and M. Iwasaki and Y. Iwasaki and Kang, {J. H.} and Kang, {J. S.} and P. Kapusta and N. Katayama and H. Kawai and T. Kawasaki and Khan, {H. R.} and H. Kichimi and Kim, {H. J.} and Kim, {S. M.} and S. Korpar and P. Krokovny and S. Kumar and Kuo, {C. C.} and A. Kuzmin and Kwon, {Y. J.} and G. Leder and Lee, {S. E.} and T. Lesiak and J. Li and Lin, {S. W.} and D. Liventsev and F. Mandl and T. Matsumoto and Y. Mikami and W. Mitaroff and H. Miyake and H. Miyata and R. Mizuk and Moloney, {G. R.} and T. Nagamine and Y. Nagasaka and E. Nakano and M. Nakao and H. Nakazawa and Z. Natkaniec and S. Nishida and O. Nitoh and S. Ogawa and T. Ohshima and T. Okabe and S. Okuno and Olsen, {S. L.} and W. Ostrowicz and H. Ozaki and P. Pakhlov and H. Palka and Park, {C. W.} and N. Parslow and Peak, {L. S.} and Piilonen, {L. E.} and N. Root and H. Sagawa and Y. Sakai and T. Schietinger and O. Schneider and P. Sch{\"o}nmeier and J. Sch{\"u}mann and K. Senyo and Sevior, {M. E.} and T. Shibata and H. Shibuya and B. Shwartz and Singh, {J. B.} and A. Somov and N. Soni and R. Stamen and S. Stani{\v c} and M. Stari{\v c} and K. Sumisawa and T. Sumiyoshi and O. Tajima and F. Takasaki and K. Tamai and N. Tamura and M. Tanaka and Y. Teramoto and Tian, {X. C.} and T. Tsukamoto and S. Uehara and K. Ueno and T. Uglov and S. Uno and P. Urquijo and Y. Ushiroda and G. Varner and S. Villa and Wang, {C. C.} and Wang, {C. H.} and M. Watanabe and Xie, {Q. L.} and Yabsley, {B. D.} and A. Yamaguchi and Y. Yamashita and M. Yamauchi and Heyoung Yang and J. Ying and J. Zhang and Zhang, {L. M.} and Zhang, {Z. P.} and V. Zhilich and D. {\v Z}ontar",

note = "Funding Information: We thank the KEKB group for the excellent operation of the accelerator, the KEK cryogenics group for the efficient operation of the solenoid, and the KEK computer group and the National Institute of Informatics for valuable computing and Super-SINET network support. We are grateful to A. Ilakovac for fruitful discussions. We acknowledge support from the Ministry of Education, Culture, Sports, Science, and Technology of Japan and the Japan Society for the Promotion of Science; the Australian Research Council and the Australian Department of Education, Science and Training; the National Science Foundation of China under contract No. 10175071; the Department of Science and Technology of India; the BK21 program of the Ministry of Education of Korea and the CHEP SRC program of the Korea Science and Engineering Foundation; the Polish State Committee for Scientific Research under contract No. 2P03B 01324; the Ministry of Science and Technology of the Russian Federation; the Ministry of Higher Education, Science and Technology of the Republic of Slovenia; the Swiss National Science Foundation; the National Science Council and the Ministry of Education of Taiwan; and the US Department of Energy.",

year = "2005",

month = sep,

day = "1",

doi = "10.1016/j.physletb.2005.07.021",

language = "English",

volume = "622",

pages = "218--228",

journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

issn = "0370-2693",

publisher = "Elsevier",

number = "3-4",

}

Enari, Y, Sato, N, Abe, K, Abe, K, Aihara, H, Asano, Y, Aulchenko, V, Bahinipati, S, Baakich, AM, Bedny, I, Bitenc, U, Bizjak, I, Blyth, S, Bondar, A, Bozek, A, Bračko, M, Brodzicka, J, Chang, MC, Chao, Y, Chen, A, Chen, WT, Cheon, BG, Chistov, R, Choi, Y, Chuvikov, A, Dalseno, J, Dash, M, Drutskoy, A, Eidelman, S, Epifanov, D, Fang, F, Fratina, S, Gabyshev, N, Gershon, T, Gokhroo, G, Golob, B, Gorišek, A, Haba, J, Hayasaka, K, Hayashii, H, Hazumi, M, Hinz, L, Hokuue, T, Hoshi, Y, Hou, S, Hou, WS, Iijima, T, Imoto, A, Inami, K, Ishikawa, A, Itoh, R, Iwasaki, M, Iwasaki, Y, Kang, JH, Kang, JS, Kapusta, P, Katayama, N, Kawai, H, Kawasaki, T, Khan, HR, Kichimi, H, Kim, HJ, Kim, SM, Korpar, S, Krokovny, P, Kumar, S, Kuo, CC, Kuzmin, A, Kwon, YJ, Leder, G, Lee, SE, Lesiak, T, Li, J, Lin, SW, Liventsev, D, Mandl, F, Matsumoto, T, Mikami, Y, Mitaroff, W, Miyake, H, Miyata, H, Mizuk, R, Moloney, GR, Nagamine, T, Nagasaka, Y, Nakano, E, Nakao, M, Nakazawa, H, Natkaniec, Z, Nishida, S, Nitoh, O, Ogawa, S, Ohshima, T, Okabe, T, Okuno, S, Olsen, SL, Ostrowicz, W, Ozaki, H, Pakhlov, P, Palka, H, Park, CW, Parslow, N, Peak, LS, Piilonen, LE, Root, N, Sagawa, H, Sakai, Y, Schietinger, T, Schneider, O, Schönmeier, P, Schümann, J, Senyo, K, Sevior, ME, Shibata, T, Shibuya, H, Shwartz, B, Singh, JB, Somov, A, Soni, N, Stamen, R, Stanič, S, Starič, M, Sumisawa, K, Sumiyoshi, T, Tajima, O, Takasaki, F, Tamai, K, Tamura, N, Tanaka, M, Teramoto, Y, Tian, XC, Tsukamoto, T, Uehara, S, Ueno, K, Uglov, T, Uno, S, Urquijo, P, Ushiroda, Y, Varner, G, Villa, S, Wang, CC, Wang, CH, Watanabe, M, Xie, QL, Yabsley, BD, Yamaguchi, A, Yamashita, Y, Yamauchi, M, Yang, H, Ying, J, Zhang, J, Zhang, LM, Zhang, ZP, Zhilich, V & Žontar, D 2005, 'Search for lepton flavor violating decays τ^- → ℓ^- π⁰, ℓ^- η, ℓ^- η′', Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, vol. 622, no. 3-4, pp. 218-228. https://doi.org/10.1016/j.physletb.2005.07.021

TY - JOUR

T1 - Search for lepton flavor violating decays τ- → ℓ- π0, ℓ- η, ℓ- η′

AU - Enari, Y.

AU - Sato, N.

AU - Abe, K.

AU - Aihara, H.

AU - Asano, Y.

AU - Aulchenko, V.

AU - Bahinipati, S.

AU - Baakich, A. M.

AU - Bedny, I.

AU - Bitenc, U.

AU - Bizjak, I.

AU - Blyth, S.

AU - Bondar, A.

AU - Bozek, A.

AU - Bračko, M.

AU - Brodzicka, J.

AU - Chang, M. C.

AU - Chao, Y.

AU - Chen, A.

AU - Chen, W. T.

AU - Cheon, B. G.

AU - Chistov, R.

AU - Choi, Y.

AU - Chuvikov, A.

AU - Dalseno, J.

AU - Dash, M.

AU - Drutskoy, A.

AU - Eidelman, S.

AU - Epifanov, D.

AU - Fang, F.

AU - Fratina, S.

AU - Gabyshev, N.

AU - Gershon, T.

AU - Gokhroo, G.

AU - Golob, B.

AU - Gorišek, A.

AU - Haba, J.

AU - Hayasaka, K.

AU - Hayashii, H.

AU - Hazumi, M.

AU - Hinz, L.

AU - Hokuue, T.

AU - Hoshi, Y.

AU - Hou, S.

AU - Hou, W. S.

AU - Iijima, T.

AU - Imoto, A.

AU - Inami, K.

AU - Ishikawa, A.

AU - Itoh, R.

AU - Iwasaki, M.

AU - Iwasaki, Y.

AU - Kang, J. H.

AU - Kang, J. S.

AU - Kapusta, P.

AU - Katayama, N.

AU - Kawai, H.

AU - Kawasaki, T.

AU - Khan, H. R.

AU - Kichimi, H.

AU - Kim, H. J.

AU - Kim, S. M.

AU - Korpar, S.

AU - Krokovny, P.

AU - Kumar, S.

AU - Kuo, C. C.

AU - Kuzmin, A.

AU - Kwon, Y. J.

AU - Leder, G.

AU - Lee, S. E.

AU - Lesiak, T.

AU - Li, J.

AU - Lin, S. W.

AU - Liventsev, D.

AU - Mandl, F.

AU - Matsumoto, T.

AU - Mikami, Y.

AU - Mitaroff, W.

AU - Miyake, H.

AU - Miyata, H.

AU - Mizuk, R.

AU - Moloney, G. R.

AU - Nagamine, T.

AU - Nagasaka, Y.

AU - Nakano, E.

AU - Nakao, M.

AU - Nakazawa, H.

AU - Natkaniec, Z.

AU - Nishida, S.

AU - Nitoh, O.

AU - Ogawa, S.

AU - Ohshima, T.

AU - Okabe, T.

AU - Okuno, S.

AU - Olsen, S. L.

AU - Ostrowicz, W.

AU - Ozaki, H.

AU - Pakhlov, P.

AU - Palka, H.

AU - Park, C. W.

AU - Parslow, N.

AU - Peak, L. S.

AU - Piilonen, L. E.

AU - Root, N.

AU - Sagawa, H.

AU - Sakai, Y.

AU - Schietinger, T.

AU - Schneider, O.

AU - Schönmeier, P.

AU - Schümann, J.

AU - Senyo, K.

AU - Sevior, M. E.

AU - Shibata, T.

AU - Shibuya, H.

AU - Shwartz, B.

AU - Singh, J. B.

AU - Somov, A.

AU - Soni, N.

AU - Stamen, R.

AU - Stanič, S.

AU - Starič, M.

AU - Sumisawa, K.

AU - Sumiyoshi, T.

AU - Tajima, O.

AU - Takasaki, F.

AU - Tamai, K.

AU - Tamura, N.

AU - Tanaka, M.

AU - Teramoto, Y.

AU - Tian, X. C.

AU - Tsukamoto, T.

AU - Uehara, S.

AU - Ueno, K.

AU - Uglov, T.

AU - Uno, S.

AU - Urquijo, P.

AU - Ushiroda, Y.

AU - Varner, G.

AU - Villa, S.

AU - Wang, C. C.

AU - Wang, C. H.

AU - Watanabe, M.

AU - Xie, Q. L.

AU - Yabsley, B. D.

AU - Yamaguchi, A.

AU - Yamashita, Y.

AU - Yamauchi, M.

AU - Yang, Heyoung

AU - Ying, J.

AU - Zhang, J.

AU - Zhang, L. M.

AU - Zhang, Z. P.

AU - Zhilich, V.

AU - Žontar, D.

N1 - Funding Information: We thank the KEKB group for the excellent operation of the accelerator, the KEK cryogenics group for the efficient operation of the solenoid, and the KEK computer group and the National Institute of Informatics for valuable computing and Super-SINET network support. We are grateful to A. Ilakovac for fruitful discussions. We acknowledge support from the Ministry of Education, Culture, Sports, Science, and Technology of Japan and the Japan Society for the Promotion of Science; the Australian Research Council and the Australian Department of Education, Science and Training; the National Science Foundation of China under contract No. 10175071; the Department of Science and Technology of India; the BK21 program of the Ministry of Education of Korea and the CHEP SRC program of the Korea Science and Engineering Foundation; the Polish State Committee for Scientific Research under contract No. 2P03B 01324; the Ministry of Science and Technology of the Russian Federation; the Ministry of Higher Education, Science and Technology of the Republic of Slovenia; the Swiss National Science Foundation; the National Science Council and the Ministry of Education of Taiwan; and the US Department of Energy.

PY - 2005/9/1

Y1 - 2005/9/1

N2 - We have searched for lepton flavor violating semileptonic τ- decays using a data sample of 153.8 fb-1 accumulated with the Belle detector at the KEKB e+e- collider. For the six decay modes studied, the observed yield is compatible with the estimated background and the following upper limits are set at the 90% confidence level: B(τ-→e-η)<2.3×10-7, B(τ-→μ-η)<1.5×10-7, B(τ-→e-π0)<1.9×10-7, B(τ-→μ-π0)<4.1×10-7, B(τ-→e-η′) <10×10-7, and B(τ-→μ-η′)<4.7×10-7. These results are 10 to 64 times more restrictive than previous limits.

AB - We have searched for lepton flavor violating semileptonic τ- decays using a data sample of 153.8 fb-1 accumulated with the Belle detector at the KEKB e+e- collider. For the six decay modes studied, the observed yield is compatible with the estimated background and the following upper limits are set at the 90% confidence level: B(τ-→e-η)<2.3×10-7, B(τ-→μ-η)<1.5×10-7, B(τ-→e-π0)<1.9×10-7, B(τ-→μ-π0)<4.1×10-7, B(τ-→e-η′) <10×10-7, and B(τ-→μ-η′)<4.7×10-7. These results are 10 to 64 times more restrictive than previous limits.

UR - http://www.scopus.com/inward/record.url?scp=24044516572&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=24044516572&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2005.07.021

DO - 10.1016/j.physletb.2005.07.021

M3 - Article

AN - SCOPUS:24044516572

SN - 0370-2693

VL - 622

SP - 218

EP - 228

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 3-4

ER -