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Title: Search for Rare or Forbidden Decays of the D 0 Meson

Abstract

We present a search for nine lepton-number-violating and three lepton-flavor-violating neutral charm decays of the type $D^0 → h'^-h^-ℓ'^+ℓ^+$ and $D^0 → h'^-h^+ℓ'^±ℓ^∓$, where $$h$$ and $h'$ represent a $$K$$ or $$π$$ meson and $$ℓ$$ and $ℓ '$ an electron or muon. The analysis is based on $$468 fb^{-1}$$ of $e^+e^-$ annihilation data collected at or close to the $Υ(4S)$ resonance with the BABAR detector at the SLAC National Accelerator Laboratory. No significant signal is observed for any of the twelve modes, and we establish 90% confidence level upper limits on the branching fractions in the range $$(1.0 – 30.6) × 10^{-7}$$. The limits are between 1 and 3 orders of magnitude more stringent than previous measurements.

Authors:
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Publication Date:
Research Org.:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
Contributing Org.:
BaBar Collaboration
OSTI Identifier:
1601065
Alternate Identifier(s):
OSTI ID: 1608803; OSTI ID: 1642679
Report Number(s):
SLAC-PUB-17424
Journal ID: ISSN 0031-9007; PRLTAO; 071802
Grant/Contract Number:  
AC02-76SF00515; AC02-05CH11231
Resource Type:
Published Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Name: Physical Review Letters Journal Volume: 124 Journal Issue: 7; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Charmed mesons; Baryon & lepton number symmetries; Flavor symmetries

Citation Formats

Lees, J. P., Poireau, V., Tisserand, V., Grauges, E., Palano, A., Eigen, G., Brown, D. N., Kolomensky, Yu. G., Fritsch, M., Koch, H., Schroeder, T., Cheaib, R., Hearty, C., Mattison, T. S., McKenna, J. A., So, R. Y., Blinov, V. E., Buzykaev, A. R., Druzhinin, V. P., Golubev, V. B., Kozyrev, E. A., Kravchenko, E. A., Onuchin, A. P., Serednyakov, S. I., Skovpen, Yu. I., Solodov, E. P., Todyshev, K. Yu., Lankford, A. J., Dey, B., Gary, J. W., Long, O., Eisner, A. M., Lockman, W. S., Panduro Vazquez, W., Chao, D. S., Cheng, C. H., Echenard, B., Flood, K. T., Hitlin, D. G., Kim, J., Li, Y., Miyashita, T. S., Ongmongkolkul, P., Porter, F. C., Röhrken, M., Huard, Z., Meadows, B. T., Pushpawela, B. G., Sokoloff, M. D., Sun, L., Smith, J. G., Wagner, S. R., Bernard, D., Verderi, M., Bettoni, D., Bozzi, C., Calabrese, R., Cibinetto, G., Fioravanti, E., Garzia, I., Luppi, E., Santoro, V., Calcaterra, A., de Sangro, R., Finocchiaro, G., Martellotti, S., Patteri, P., Peruzzi, I. M., Piccolo, M., Rotondo, M., Zallo, A., Passaggio, S., Patrignani, C., Shuve, B. J., Lacker, H. M., Bhuyan, B., Mallik, U., Chen, C., Cochran, J., Prell, S., Gritsan, A. V., Arnaud, N., Davier, M., Le Diberder, F., Lutz, A. M., Wormser, G., Lange, D. J., Wright, D. M., Coleman, J. P., Gabathuler, E., Hutchcroft, D. E., Payne, D. J., Touramanis, C., Bevan, A. J., Di Lodovico, F., Sacco, R., Cowan, G., Banerjee, Sw., Brown, D. N., Davis, C. L., Denig, A. G., Gradl, W., Griessinger, K., Hafner, A., Schubert, K. R., Barlow, R. J., Lafferty, G. D., Cenci, R., Jawahery, A., Roberts, D. A., Cowan, R., Robertson, S. H., Seddon, R. M., Neri, N., Palombo, F., Cremaldi, L., Godang, R., Summers, D. J., Taras, P., De Nardo, G., Sciacca, C., Raven, G., Jessop, C. P., LoSecco, J. M., Honscheid, K., Kass, R., Gaz, A., Margoni, M., Posocco, M., Simi, G., Simonetto, F., Stroili, R., Akar, S., Ben-Haim, E., Bomben, M., Bonneaud, G. R., Calderini, G., Chauveau, J., Marchiori, G., Ocariz, J., Biasini, M., Manoni, E., Rossi, A., Batignani, G., Bettarini, S., Carpinelli, M., Casarosa, G., Chrzaszcz, M., Forti, F., Giorgi, M. A., Lusiani, A., Oberhof, B., Paoloni, E., Rama, M., Rizzo, G., Walsh, J. J., Zani, L., Smith, A. J. S., Anulli, F., Faccini, R., Ferrarotto, F., Ferroni, F., Pilloni, A., Piredda, G., Bünger, C., Dittrich, S., Grünberg, O., Heß, M., Leddig, T., Voß, C., Waldi, R., Adye, T., Wilson, F. F., Emery, S., Vasseur, G., Aston, D., Cartaro, C., Convery, M. R., Dorfan, J., Dunwoodie, W., Ebert, M., Field, R. C., Fulsom, B. G., Graham, M. T., Hast, C., Innes, W. R., Kim, P., Leith, D. W. G. S., Luitz, S., MacFarlane, D. B., Muller, D. R., Neal, H., Ratcliff, B. N., Roodman, A., Sullivan, M. K., Va’vra, J., Wisniewski, W. J., Purohit, M. V., Wilson, J. R., Randle-Conde, A., Sekula, S. J., Ahmed, H., Bellis, M., Burchat, P. R., Puccio, E. M. T., Alam, M. S., Ernst, J. A., Gorodeisky, R., Guttman, N., Peimer, D. R., Soffer, A., Spanier, S. M., Ritchie, J. L., Schwitters, R. F., Izen, J. M., Lou, X. C., Bianchi, F., De Mori, F., Filippi, A., Gamba, D., Lanceri, L., Vitale, L., Martinez-Vidal, F., Oyanguren, A., Albert, J., Beaulieu, A., Bernlochner, F. U., King, G. J., Kowalewski, R., Lueck, T., Nugent, I. M., Roney, J. M., Sobie, R. J., Tasneem, N., Gershon, T. J., Harrison, P. F., Latham, T. E., Prepost, R., Wu, S. L., and BaBar Collaboration. Search for Rare or Forbidden Decays of the D 0 Meson. United States: N. p., 2020. Web. doi:10.1103/PhysRevLett.124.071802.
Lees, J. P., Poireau, V., Tisserand, V., Grauges, E., Palano, A., Eigen, G., Brown, D. N., Kolomensky, Yu. G., Fritsch, M., Koch, H., Schroeder, T., Cheaib, R., Hearty, C., Mattison, T. S., McKenna, J. A., So, R. Y., Blinov, V. E., Buzykaev, A. R., Druzhinin, V. P., Golubev, V. B., Kozyrev, E. A., Kravchenko, E. A., Onuchin, A. P., Serednyakov, S. I., Skovpen, Yu. I., Solodov, E. P., Todyshev, K. Yu., Lankford, A. J., Dey, B., Gary, J. W., Long, O., Eisner, A. M., Lockman, W. S., Panduro Vazquez, W., Chao, D. S., Cheng, C. H., Echenard, B., Flood, K. T., Hitlin, D. G., Kim, J., Li, Y., Miyashita, T. S., Ongmongkolkul, P., Porter, F. C., Röhrken, M., Huard, Z., Meadows, B. T., Pushpawela, B. G., Sokoloff, M. D., Sun, L., Smith, J. G., Wagner, S. R., Bernard, D., Verderi, M., Bettoni, D., Bozzi, C., Calabrese, R., Cibinetto, G., Fioravanti, E., Garzia, I., Luppi, E., Santoro, V., Calcaterra, A., de Sangro, R., Finocchiaro, G., Martellotti, S., Patteri, P., Peruzzi, I. M., Piccolo, M., Rotondo, M., Zallo, A., Passaggio, S., Patrignani, C., Shuve, B. J., Lacker, H. M., Bhuyan, B., Mallik, U., Chen, C., Cochran, J., Prell, S., Gritsan, A. V., Arnaud, N., Davier, M., Le Diberder, F., Lutz, A. M., Wormser, G., Lange, D. J., Wright, D. M., Coleman, J. P., Gabathuler, E., Hutchcroft, D. E., Payne, D. J., Touramanis, C., Bevan, A. J., Di Lodovico, F., Sacco, R., Cowan, G., Banerjee, Sw., Brown, D. N., Davis, C. L., Denig, A. G., Gradl, W., Griessinger, K., Hafner, A., Schubert, K. R., Barlow, R. J., Lafferty, G. D., Cenci, R., Jawahery, A., Roberts, D. A., Cowan, R., Robertson, S. H., Seddon, R. M., Neri, N., Palombo, F., Cremaldi, L., Godang, R., Summers, D. J., Taras, P., De Nardo, G., Sciacca, C., Raven, G., Jessop, C. P., LoSecco, J. M., Honscheid, K., Kass, R., Gaz, A., Margoni, M., Posocco, M., Simi, G., Simonetto, F., Stroili, R., Akar, S., Ben-Haim, E., Bomben, M., Bonneaud, G. R., Calderini, G., Chauveau, J., Marchiori, G., Ocariz, J., Biasini, M., Manoni, E., Rossi, A., Batignani, G., Bettarini, S., Carpinelli, M., Casarosa, G., Chrzaszcz, M., Forti, F., Giorgi, M. A., Lusiani, A., Oberhof, B., Paoloni, E., Rama, M., Rizzo, G., Walsh, J. J., Zani, L., Smith, A. J. S., Anulli, F., Faccini, R., Ferrarotto, F., Ferroni, F., Pilloni, A., Piredda, G., Bünger, C., Dittrich, S., Grünberg, O., Heß, M., Leddig, T., Voß, C., Waldi, R., Adye, T., Wilson, F. F., Emery, S., Vasseur, G., Aston, D., Cartaro, C., Convery, M. R., Dorfan, J., Dunwoodie, W., Ebert, M., Field, R. C., Fulsom, B. G., Graham, M. T., Hast, C., Innes, W. R., Kim, P., Leith, D. W. G. S., Luitz, S., MacFarlane, D. B., Muller, D. R., Neal, H., Ratcliff, B. N., Roodman, A., Sullivan, M. K., Va’vra, J., Wisniewski, W. J., Purohit, M. V., Wilson, J. R., Randle-Conde, A., Sekula, S. J., Ahmed, H., Bellis, M., Burchat, P. R., Puccio, E. M. T., Alam, M. S., Ernst, J. A., Gorodeisky, R., Guttman, N., Peimer, D. R., Soffer, A., Spanier, S. M., Ritchie, J. L., Schwitters, R. F., Izen, J. M., Lou, X. C., Bianchi, F., De Mori, F., Filippi, A., Gamba, D., Lanceri, L., Vitale, L., Martinez-Vidal, F., Oyanguren, A., Albert, J., Beaulieu, A., Bernlochner, F. U., King, G. J., Kowalewski, R., Lueck, T., Nugent, I. M., Roney, J. M., Sobie, R. J., Tasneem, N., Gershon, T. J., Harrison, P. F., Latham, T. E., Prepost, R., Wu, S. L., & BaBar Collaboration. Search for Rare or Forbidden Decays of the D 0 Meson. United States. https://doi.org/10.1103/PhysRevLett.124.071802
Lees, J. P., Poireau, V., Tisserand, V., Grauges, E., Palano, A., Eigen, G., Brown, D. N., Kolomensky, Yu. G., Fritsch, M., Koch, H., Schroeder, T., Cheaib, R., Hearty, C., Mattison, T. S., McKenna, J. A., So, R. Y., Blinov, V. E., Buzykaev, A. R., Druzhinin, V. P., Golubev, V. B., Kozyrev, E. A., Kravchenko, E. A., Onuchin, A. P., Serednyakov, S. I., Skovpen, Yu. I., Solodov, E. P., Todyshev, K. Yu., Lankford, A. J., Dey, B., Gary, J. W., Long, O., Eisner, A. M., Lockman, W. S., Panduro Vazquez, W., Chao, D. S., Cheng, C. H., Echenard, B., Flood, K. T., Hitlin, D. G., Kim, J., Li, Y., Miyashita, T. S., Ongmongkolkul, P., Porter, F. C., Röhrken, M., Huard, Z., Meadows, B. T., Pushpawela, B. G., Sokoloff, M. D., Sun, L., Smith, J. G., Wagner, S. R., Bernard, D., Verderi, M., Bettoni, D., Bozzi, C., Calabrese, R., Cibinetto, G., Fioravanti, E., Garzia, I., Luppi, E., Santoro, V., Calcaterra, A., de Sangro, R., Finocchiaro, G., Martellotti, S., Patteri, P., Peruzzi, I. M., Piccolo, M., Rotondo, M., Zallo, A., Passaggio, S., Patrignani, C., Shuve, B. J., Lacker, H. M., Bhuyan, B., Mallik, U., Chen, C., Cochran, J., Prell, S., Gritsan, A. V., Arnaud, N., Davier, M., Le Diberder, F., Lutz, A. M., Wormser, G., Lange, D. J., Wright, D. M., Coleman, J. P., Gabathuler, E., Hutchcroft, D. E., Payne, D. J., Touramanis, C., Bevan, A. J., Di Lodovico, F., Sacco, R., Cowan, G., Banerjee, Sw., Brown, D. N., Davis, C. L., Denig, A. G., Gradl, W., Griessinger, K., Hafner, A., Schubert, K. R., Barlow, R. J., Lafferty, G. D., Cenci, R., Jawahery, A., Roberts, D. A., Cowan, R., Robertson, S. H., Seddon, R. M., Neri, N., Palombo, F., Cremaldi, L., Godang, R., Summers, D. J., Taras, P., De Nardo, G., Sciacca, C., Raven, G., Jessop, C. P., LoSecco, J. M., Honscheid, K., Kass, R., Gaz, A., Margoni, M., Posocco, M., Simi, G., Simonetto, F., Stroili, R., Akar, S., Ben-Haim, E., Bomben, M., Bonneaud, G. R., Calderini, G., Chauveau, J., Marchiori, G., Ocariz, J., Biasini, M., Manoni, E., Rossi, A., Batignani, G., Bettarini, S., Carpinelli, M., Casarosa, G., Chrzaszcz, M., Forti, F., Giorgi, M. A., Lusiani, A., Oberhof, B., Paoloni, E., Rama, M., Rizzo, G., Walsh, J. J., Zani, L., Smith, A. J. S., Anulli, F., Faccini, R., Ferrarotto, F., Ferroni, F., Pilloni, A., Piredda, G., Bünger, C., Dittrich, S., Grünberg, O., Heß, M., Leddig, T., Voß, C., Waldi, R., Adye, T., Wilson, F. F., Emery, S., Vasseur, G., Aston, D., Cartaro, C., Convery, M. R., Dorfan, J., Dunwoodie, W., Ebert, M., Field, R. C., Fulsom, B. G., Graham, M. T., Hast, C., Innes, W. R., Kim, P., Leith, D. W. G. S., Luitz, S., MacFarlane, D. B., Muller, D. R., Neal, H., Ratcliff, B. N., Roodman, A., Sullivan, M. K., Va’vra, J., Wisniewski, W. J., Purohit, M. V., Wilson, J. R., Randle-Conde, A., Sekula, S. J., Ahmed, H., Bellis, M., Burchat, P. R., Puccio, E. M. T., Alam, M. S., Ernst, J. A., Gorodeisky, R., Guttman, N., Peimer, D. R., Soffer, A., Spanier, S. M., Ritchie, J. L., Schwitters, R. F., Izen, J. M., Lou, X. C., Bianchi, F., De Mori, F., Filippi, A., Gamba, D., Lanceri, L., Vitale, L., Martinez-Vidal, F., Oyanguren, A., Albert, J., Beaulieu, A., Bernlochner, F. U., King, G. J., Kowalewski, R., Lueck, T., Nugent, I. M., Roney, J. M., Sobie, R. J., Tasneem, N., Gershon, T. J., Harrison, P. F., Latham, T. E., Prepost, R., Wu, S. L., and BaBar Collaboration. Wed . "Search for Rare or Forbidden Decays of the D 0 Meson". United States. https://doi.org/10.1103/PhysRevLett.124.071802.
@article{osti_1601065,
title = {Search for Rare or Forbidden Decays of the D 0 Meson},
author = {Lees, J. P. and Poireau, V. and Tisserand, V. and Grauges, E. and Palano, A. and Eigen, G. and Brown, D. N. and Kolomensky, Yu. G. and Fritsch, M. and Koch, H. and Schroeder, T. and Cheaib, R. and Hearty, C. and Mattison, T. S. and McKenna, J. A. and So, R. Y. and Blinov, V. E. and Buzykaev, A. R. and Druzhinin, V. P. and Golubev, V. B. and Kozyrev, E. A. and Kravchenko, E. A. and Onuchin, A. P. and Serednyakov, S. I. and Skovpen, Yu. I. and Solodov, E. P. and Todyshev, K. Yu. and Lankford, A. J. and Dey, B. and Gary, J. W. and Long, O. and Eisner, A. M. and Lockman, W. S. and Panduro Vazquez, W. and Chao, D. S. and Cheng, C. H. and Echenard, B. and Flood, K. T. and Hitlin, D. G. and Kim, J. and Li, Y. and Miyashita, T. S. and Ongmongkolkul, P. and Porter, F. C. and Röhrken, M. and Huard, Z. and Meadows, B. T. and Pushpawela, B. G. and Sokoloff, M. D. and Sun, L. and Smith, J. G. and Wagner, S. R. and Bernard, D. and Verderi, M. and Bettoni, D. and Bozzi, C. and Calabrese, R. and Cibinetto, G. and Fioravanti, E. and Garzia, I. and Luppi, E. and Santoro, V. and Calcaterra, A. and de Sangro, R. and Finocchiaro, G. and Martellotti, S. and Patteri, P. and Peruzzi, I. M. and Piccolo, M. and Rotondo, M. and Zallo, A. and Passaggio, S. and Patrignani, C. and Shuve, B. J. and Lacker, H. M. and Bhuyan, B. and Mallik, U. and Chen, C. and Cochran, J. and Prell, S. and Gritsan, A. V. and Arnaud, N. and Davier, M. and Le Diberder, F. and Lutz, A. M. and Wormser, G. and Lange, D. J. and Wright, D. M. and Coleman, J. P. and Gabathuler, E. and Hutchcroft, D. E. and Payne, D. J. and Touramanis, C. and Bevan, A. J. and Di Lodovico, F. and Sacco, R. and Cowan, G. and Banerjee, Sw. and Brown, D. N. and Davis, C. L. and Denig, A. G. and Gradl, W. and Griessinger, K. and Hafner, A. and Schubert, K. R. and Barlow, R. J. and Lafferty, G. D. and Cenci, R. and Jawahery, A. and Roberts, D. A. and Cowan, R. and Robertson, S. H. and Seddon, R. M. and Neri, N. and Palombo, F. and Cremaldi, L. and Godang, R. and Summers, D. J. and Taras, P. and De Nardo, G. and Sciacca, C. and Raven, G. and Jessop, C. P. and LoSecco, J. M. and Honscheid, K. and Kass, R. and Gaz, A. and Margoni, M. and Posocco, M. and Simi, G. and Simonetto, F. and Stroili, R. and Akar, S. and Ben-Haim, E. and Bomben, M. and Bonneaud, G. R. and Calderini, G. and Chauveau, J. and Marchiori, G. and Ocariz, J. and Biasini, M. and Manoni, E. and Rossi, A. and Batignani, G. and Bettarini, S. and Carpinelli, M. and Casarosa, G. and Chrzaszcz, M. and Forti, F. and Giorgi, M. A. and Lusiani, A. and Oberhof, B. and Paoloni, E. and Rama, M. and Rizzo, G. and Walsh, J. J. and Zani, L. and Smith, A. J. S. and Anulli, F. and Faccini, R. and Ferrarotto, F. and Ferroni, F. and Pilloni, A. and Piredda, G. and Bünger, C. and Dittrich, S. and Grünberg, O. and Heß, M. and Leddig, T. and Voß, C. and Waldi, R. and Adye, T. and Wilson, F. F. and Emery, S. and Vasseur, G. and Aston, D. and Cartaro, C. and Convery, M. R. and Dorfan, J. and Dunwoodie, W. and Ebert, M. and Field, R. C. and Fulsom, B. G. and Graham, M. T. and Hast, C. and Innes, W. R. and Kim, P. and Leith, D. W. G. S. and Luitz, S. and MacFarlane, D. B. and Muller, D. R. and Neal, H. and Ratcliff, B. N. and Roodman, A. and Sullivan, M. K. and Va’vra, J. and Wisniewski, W. J. and Purohit, M. V. and Wilson, J. R. and Randle-Conde, A. and Sekula, S. J. and Ahmed, H. and Bellis, M. and Burchat, P. R. and Puccio, E. M. T. and Alam, M. S. and Ernst, J. A. and Gorodeisky, R. and Guttman, N. and Peimer, D. R. and Soffer, A. and Spanier, S. M. and Ritchie, J. L. and Schwitters, R. F. and Izen, J. M. and Lou, X. C. and Bianchi, F. and De Mori, F. and Filippi, A. and Gamba, D. and Lanceri, L. and Vitale, L. and Martinez-Vidal, F. and Oyanguren, A. and Albert, J. and Beaulieu, A. and Bernlochner, F. U. and King, G. J. and Kowalewski, R. and Lueck, T. and Nugent, I. M. and Roney, J. M. and Sobie, R. J. and Tasneem, N. and Gershon, T. J. and Harrison, P. F. and Latham, T. E. and Prepost, R. and Wu, S. L. and BaBar Collaboration},
abstractNote = {We present a search for nine lepton-number-violating and three lepton-flavor-violating neutral charm decays of the type $D^0 → h'^-h^-ℓ'^+ℓ^+$ and $D^0 → h'^-h^+ℓ'^±ℓ^∓$, where $h$ and $h'$ represent a $K$ or $π$ meson and $ℓ$ and $ℓ '$ an electron or muon. The analysis is based on $468 fb^{-1}$ of $e^+e^-$ annihilation data collected at or close to the $Υ(4S)$ resonance with the BABAR detector at the SLAC National Accelerator Laboratory. No significant signal is observed for any of the twelve modes, and we establish 90% confidence level upper limits on the branching fractions in the range $(1.0 – 30.6) × 10^{-7}$. The limits are between 1 and 3 orders of magnitude more stringent than previous measurements.},
doi = {10.1103/PhysRevLett.124.071802},
journal = {Physical Review Letters},
number = 7,
volume = 124,
place = {United States},
year = {Wed Feb 19 00:00:00 EST 2020},
month = {Wed Feb 19 00:00:00 EST 2020}
}

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Search for <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:msubsup><mml:mrow><mml:mi>D</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>s</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msubsup><mml:mo>→</mml:mo><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>μ</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>μ</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:math> and <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:msubsup><mml:mrow><mml:mi>D</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>s</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msubsup><mml:mo>→</mml:mo><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>μ</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>μ</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math> decays
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