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Aaij, R, Abellán Beteta, C, Ackernley, T, Adeva, B, Adinolfi, M, Afsharnia, H, Aidala, CA, Aiola, S, Ajaltouni, Z, Akar, S et al (show 997 more authors) , Albrecht, J, Alessio, F, Alexander, M, Alfonso Albero, A, Aliouche, Z, Alkhazov, G, Alvarez Cartelle, P, Alves, AA, Amato, S, Amhis, Y, An, L, Anderlini, L, Andreassi, G, Andreianov, A, Andreotti, M, Archilli, F, Artamonov, A, Artuso, M, Arzymatov, K, Aslanides, E, Atzeni, M, Audurier, B, Bachmann, S, Bachmayer, M, Back, JJ, Baker, S, Baladron Rodriguez, P, Balagura, V, Baldini, W, Baptista Leite, J, Barlow, RJ, Barsuk, S, Barter, W, Bartolini, M, Baryshnikov, F, Basels, JM, Bassi, G, Batozskaya, V, Batsukh, B, Battig, A, Bay, A, Becker, M, Bedeschi, F, Bediaga, I, Beiter, A, Belavin, V, Belin, S, Bellee, V, Belous, K, Belov, I, Belyaev, I, Bencivenni, G, Ben-Haim, E, Benson, S, Berezhnoy, A, Bernet, R, Berninghoff, D, Bernstein, HC, Bertella, C, Bertholet, E, Bertolin, A, Betancourt, C, Betti, F, Bettler, MO, Bezshyiko, Ia, Bhasin, S, Bhom, J, Bian, L, Bieker, MS, Bifani, S, Billoir, P, Birch, M, Bishop, FCR, Bizzeti, A, Bjørn, M, Blago, MP, Blake, T, Blanc, F, Blusk, S, Bobulska, D, Bocci, V, Boelhauve, JA, Boente Garcia, O, Boettcher, T, Boldyrev, A, Bondar, A, Bondar, N, Borghi, S, Borisyak, M, Borsato, M, Borsuk, JT, Bouchiba, SA, Bowcock, TJV 
ORCID: 0000-0002-3505-6915, Boyer, A, Bozzi, C, Bradley, MJ, Braun, S, Brea Rodriguez, A, Brodski, M, Brodzicka, J, Brossa Gonzalo, A, Brundu, D, Buchanan, E, Büchler-Germann, A, Buonaura, A, Burr, C, Bursche, A, Butkevich, A, Butter, JS, Buytaert, J, Byczynski, W, Cadeddu, S, Cai, H, Calabrese, R, Calefice, L, Calero Diaz, L, Cali, S, Calladine, R, Calvi, M, Calvo Gomez, M, Camargo Magalhaes, P, Camboni, A, Campana, P, Campora Perez, DH, Campoverde Quezada, AF, Capelli, S, Capriotti, L, Carbone, A, Carboni, G, Cardinale, R, Cardini, A, Carli, I, Carniti, P, Carvalho Akiba, K, Casais Vidal, A, Casse, G ORCID: 0000-0002-8516-237X, Cattaneo, M, Cavallero, G, Celani, S, Cenci, R, Cerasoli, J, Chadwick, AJ, Chapman, MG, Charles, M, Charpentier, Ph, Chatzikonstantinidis, G, Chavez Barajas, CA, Chefdeville, M, Chekalina, V, Chen, C, Chen, S, Chernov, A, Chitic, S-G, Chobanova, V, Cholak, S, Chrzaszcz, M, Chubykin, A, Chulikov, V, Ciambrone, P, Cicala, MF, Cid Vidal, X, Ciezarek, G, Clarke, PEL, Clemencic, M, Cliff, HV, Closier, J, Cobbledick, JL, Coco, V, Coelho, JAB, Cogan, J, Cogneras, E, Cojocariu, L, Collins, P, Colombo, T, Congedo, L, Contu, A, Cooke, N, Coombs, G, Coquereau, S, Corti, G, Costa Sobral, CM, Couturier, B, Craik, DC, Crkovská, J, Crocombe, A, Cruz Torres, M, Currie, R, Da Silva, CL, Dall’Occo, E, Dalseno, J, D’Ambrosio, C, Danilina, A, d’Argent, P, Davis, A, De Aguiar Francisco, O, De Bruyn, K, De Capua, S, De Cian, M, De Miranda, JM, De Paula, L, De Serio, M, De Simone, D, De Simone, P, de Vries, JA, Dean, CT, Dean, W, Decamp, D, Del Buono, L, Delaney, B, Dembinski, H-P, Dendek, A, Denysenko, V, Derkach, D, Deschamps, O, Desse, F, Dettori, F, Dey, B, Di Canto, A, Di Nezza, P, Didenko, S, Dieste Maronas, L, Dijkstra, H, Dobishuk, V, Donohoe, AM, Dordei, F, Dorigo, M, dos Reis, AC, Douglas, L, Dovbnya, A, Downes, AG, Dreimanis, K, Dudek, MW, Dufour, L, Duk, V, Durante, P, Durham, JM, Dutta, D, Dziewiecki, M, Dziurda, A, Dzyuba, A, Easo, S, Egede, U, Egorychev, V, Eidelman, S, Eisenhardt, S, Ek-In, S, Eklund, L, Ely, S, Ene, A, Epple, E, Escher, S, Eschle, J, Esen, S, Evans, T, Falabella, A, Fan, J, Fan, Y, Fang, B, Farley, N, Farry, S, Fazzini, D, Fedin, P, Féo, M, Fernandez Declara, P, Fernandez Prieto, A, Ferrari, F, Ferreira Lopes, L, Ferreira Rodrigues, F, Ferreres Sole, S, Ferrillo, M, Ferro-Luzzi, M, Filippov, S, Fini, RA, Fiorini, M, Firlej, M, Fischer, KM, Fitzpatrick, C, Fiutowski, T, Fleuret, F, Fontana, M, Fontanelli, F, Forty, R, Franco Lima, V, Franco Sevilla, M, Frank, M, Franzoso, E, Frau, G, Frei, C, Friday, DA, Fu, J, Fuehring, Q, Funk, W, Gabriel, E, Gaintseva, T, Gallas Torreira, A, Galli, D, Gallorini, S, Gambetta, S, Gan, Y, Gandelman, M, Gandini, P, Gao, Y, Garau, M, Garcia Martin, LM, Garcia Moreno, P, García Pardiñas, J, Garcia Plana, B, Garcia Rosales, FA, Garrido, L, Gascon, D, Gaspar, C, Geertsema, RE, Gerick, D, Gerken, LL, Gersabeck, E, Gersabeck, M, Gershon, T, Gerstel, D, Ghez, Ph, Gibson, V, Giovannetti, M, Gioventù, A, Gironella Gironell, P, Giubega, L, Giugliano, C, Gizdov, K, Gligorov, VV, Göbel, C, Golobardes, E, Golubkov, D, Golutvin, A, Gomes, A, Gomez Fernandez, S, Goncerz, M, Gorbounov, P, Gorelov, IV, Gotti, C, Govorkova, E, Grabowski, JP, Graciani Diaz, R, Grammatico, T, Granado Cardoso, LA, Graugés, E, Graverini, E, Graziani, G, Grecu, A, Greeven, LM, Greim, R, Griffith, P, Grillo, L, Gromov, S, Gruber, L, Gruberg Cazon, BR, Gu, C, Guarise, M, Günther, PA, Gushchin, E, Guth, A, Guz, Y, Gys, T, Hadavizadeh, T, Haefeli, G, Haen, C, Haimberger, J, Haines, SC, Halewood-leagas, T, Hamilton, PM, Han, Q, Han, X, Hancock, TH, Hansmann-Menzemer, S, Harnew, N, Harrison, T, Hart, R, Hasse, C, Hatch, M, He, J, Hecker, M, Heijhoff, K, Heinicke, K, Hennequin, AM, Hennessy, K ORCID: 0000-0002-1529-8087, Henry, L, Heuel, J, Hicheur, A, Hill, D, Hilton, M, Hollitt, SE, Hopchev, PH, Hu, J, Hu, J, Hu, W, Huang, W, Huang, X, Hulsbergen, W, Humair, T, Hunter, RJ, Hushchyn, M, Hutchcroft, D ORCID: 0000-0002-4174-6509, Hynds, D, Ibis, P, Idzik, M, Ilin, D, Ilten, P, Inglessi, A, Ivshin, K, Jacobsson, R, Jakobsen, S, Jans, E, Jashal, BK, Jawahery, A, Jevtic, V, Jezabek, M, Jiang, F, John, M, Johnson, D ORCID: 0000-0003-3272-6001, Jones, CR, Jones, TP, Jost, B, Jurik, N, Kandybei, S, Kang, Y, Karacson, M, Kariuki, JM, Kazeev, N, Kecke, M, Keizer, F, Kelsey, M, Kenzie, M, Ketel, T, Khanji, B, Kharisova, A, Kholodenko, S, Kim, KE, Kirn, T, Kirsebom, VS, Kitouni, O, Klaver, S, Klimaszewski, K, Koliiev, S, Kondybayeva, A, Konoplyannikov, A, Kopciewicz, P, Kopecna, R, Koppenburg, P, Korolev, M, Kostiuk, I, Kot, O, Kotriakhova, S, Kravchenko, P, Kravchuk, L, Krawczyk, RD, Kreps, M, Kress, F, Kretzschmar, S, Krokovny, P, Krupa, W, Krzemien, W, Kucewicz, W, Kucharczyk, M, Kudryavtsev, V, Kuindersma, HS, Kunde, GJ, Kvaratskheliya, T, Lacarrere, D, Lafferty, G, Lai, A, Lampis, A, Lancierini, D, Lane, JJ, Lane, R, Lanfranchi, G, Langenbruch, C, Langer, J, Lantwin, O, Latham, T, Lazzari, F, Le Gac, R, Lee, SH, Lefèvre, R, Leflat, A, Legotin, S, Leroy, O, Lesiak, T, Leverington, B, Li, H, Li, L, Li, P, Li, X, Li, Y, Li, Y, Li, Z, Liang, X, Lin, T, Lindner, R, Lisovskyi, V, Litvinov, R, Liu, G, Liu, H, Liu, S, Liu, X, Loh, D, Loi, A, Lomba Castro, J, Longstaff, I, Lopes, JH, Loustau, G, Lovell, GH, Lu, Y, Lucchesi, D, Luchuk, S, Lucio Martinez, M, Lukashenko, V, Luo, Y, Lupato, A, Luppi, E, Lupton, O, Lusiani, A, Lyu, X, Ma, L, Maccolini, S, Machefert, F, Maciuc, F, Macko, V, Mackowiak, P, Maddrell-Mander, S, Madhan Mohan, LR, Maev, O, Maevskiy, A, Maisuzenko, D, Majewski, MW, Malde, S, Malecki, B, Malinin, A, Maltsev, T, Malygina, H, Manca, G, Mancinelli, G, Manera Escalero, R, Manuzzi, D, Marangotto, D, Maratas, J, Marchand, JF, Marconi, U, Mariani, S, Marin Benito, C, Marinangeli, M, Marino, P, Marks, J, Marshall, PJ, Martellotti, G, Martinazzoli, L, Martinelli, M, Martinez Santos, D, Martinez Vidal, F, Massafferri, A, Materok, M, Matev, R, Mathad, A, Mathe, Z, Matiunin, V, Matteuzzi, C, Mattioli, KR, Mauri, A, Maurice, E, Mauricio, J, Mazurek, M, McCann, M, Mcconnell, L, Mcgrath, TH, McNab, A, McNulty, R, Mead, JV ORCID: 0000-0003-0875-2533, Meadows, B, Meaux, C, Meier, G, Meinert, N, Melnychuk, D, Meloni, S, Merk, M, Merli, A, Meyer Garcia, L, Mikhasenko, M, Milanes, DA, Millard, E, Minard, M-N, Mineev, O, Minzoni, L, Mitchell, SE, Mitreska, B, Mitzel, DS, Mödden, A, Mogini, A, Mohammed, RA, Moise, RD, Mombächer, T, Monroy, IA, Monteil, S, Morandin, M, Morello, G, Morello, MJ, Moron, J, Morris, AB, Morris, AG, Mountain, R, Mu, H, Muheim, F, Mukherjee, M, Mulder, M, Müller, D, Müller, K, Murphy, CH, Murray, D, Muzzetto, P, Naik, P, Nakada, T, Nandakumar, R, Nanut, T, Nasteva, I, Needham, M, Neri, I, Neri, N, Neubert, S, Neufeld, N, Newcombe, R, Nguyen, TD, Nguyen-Mau, C, Niel, EM, Nieswand, S, Nikitin, N, Nolte, NS, Nunez, C, Oblakowska-Mucha, A, Obraztsov, V, Ogilvy, S, O’Hanlon, DP, Oldeman, R, Onderwater, CJG, Osborn, JD, Ossowska, A, Otalora Goicochea, JM, Ovsiannikova, T, Owen, P, Oyanguren, A, Pagare, B, Pais, PR, Pajero, T, Palano, A, Palutan, M, Pan, Y, Panshin, G, Papanestis, A, Pappagallo, M, Pappalardo, LL, Pappenheimer, C, Parker, W, Parkes, C, Parkinson, CJ, Passalacqua, B, Passaleva, G, Pastore, A, Patel, M, Patrignani, C, Pawley, CJ, Pearce, A, Pellegrino, A, Pepe Altarelli, M, Perazzini, S, Pereima, D, Perret, P, Petridis, K, Petrolini, A, Petrov, A, Petrucci, S, Petruzzo, M, Philippov, A, Pica, L, Piccini, M, Pietrzyk, B, Pietrzyk, G, Pili, M, Pinci, D, Pinzino, J, Pisani, F, Piucci, A, Resmi, PK, Placinta, V, Playfer, S, Plews, J, Plo Casasus, M, Polci, F, Poli Lener, M, Poliakova, M, Poluektov, A, Polukhina, N, Polyakov, I, Polycarpo, E, Pomery, GJ, Ponce, S, Popov, A, Popov, D, Popov, S, Poslavskii, S, Prasanth, K, Promberger, L, Prouve, C, Pugatch, V, Puig Navarro, A, Pullen, H, Punzi, G, Qian, W, Qin, J, Quagliani, R, Quintana, B, Raab, NV, Rabadan Trejo, RI, Rachwal, B, Rademacker, JH, Rama, M, Ramos Pernas, M, Rangel, MS, Ratnikov, F, Raven, G, Reboud, M, Redi, F, Reiss, F, Remon Alepuz, C, Ren, Z, Renaudin, V, Ribatti, R, Ricciardi, S, Richards, DS, Richards, S, Rinnert, K, Robbe, P, Robert, A, Robertson, G, Rodrigues, AB, Rodrigues, E, Rodriguez Lopez, JA, Roehrken, M, Rollings, A, Roloff, P, Romanovskiy, V, Romero Lamas, M, Romero Vidal, A, Roth, JD, Rotondo, M, Rudolph, MS, Ruf, T, Ruiz Vidal, J, Ryzhikov, A, Ryzka, J, Saborido Silva, JJ, Sagidova, N, Sahoo, N, Saitta, B, Sanchez Gras, C, Sanchez Mayordomo, C, Santacesaria, R, Santamarina Rios, C, Santimaria, M, Santovetti, E, Saranin, D, Sarpis, G, Sarpis, M, Sarti, A, Satriano, C, Satta, A, Saur, M, Savrina, D, Sazak, H, Scantlebury Smead, LG, Schael, S, Schellenberg, M, Schiller, M, Schindler, H, Schmelling, M, Schmelzer, T, Schmidt, B, Schneider, O, Schopper, A, Schreiner, HF, Schubiger, M, Schulte, S, Schune, MH, Schwemmer, R, Sciascia, B, Sciubba, A, Sellam, S, Semennikov, A, Senghi Soares, M, Sergi, A, Serra, N, Serrano, J, Sestini, L, Seuthe, A, Seyfert, P, Shangase, DM, Shapkin, M, Shchemerov, I, Shchutska, L, Shears, T ORCID: 0000-0002-2653-1366, Shekhtman, L, Shen, Z, Shevchenko, V, Shields, EB, Shmanin, E, Shupperd, JD, Siddi, BG, Silva Coutinho, R, Silva de Oliveira, L, Simi, G, Simone, S, Skiba, I, Skidmore, N, Skwarnicki, T, Slater, MW, Smallwood, JC, Smeaton, JG, Smetkina, A, Smith, E, Smith, IT, Smith, M, Snoch, A, Soares, M, Soares Lavra, L, Sokoloff, MD, Soler, FJP, Solovev, A, Solovyev, I, Souza De Almeida, FL, Souza De Paula, B, Spaan, B, Spadaro Norella, E, Spradlin, P, Stagni, F, Stahl, M, Stahl, S, Stefko, P, Steinkamp, O, Stemmle, S, Stenyakin, O, Stepanova, M, Stevens, H, Stone, S, Stramaglia, ME, Straticiuc, M, Strekalina, D, Strokov, S, Suljik, F, Sun, J, Sun, L, Sun, Y, Svihra, P, Swallow, PN, Swientek, K, Szabelski, A, Szumlak, T, Szymanski, M, Taneja, S, Tang, Z, Tekampe, T, Teubert, F, Thomas, E, Thomson, KA, Tilley, MJ, Tisserand, V, T’Jampens, S, Tobin, M, Tolk, S, Tomassetti, L, Torres Machado, D, Tou, DY, Tournefier, E, Traill, M, Tran, MT, Trifonova, E, Trippl, C, Tsaregorodtsev, A, Tuci, G, Tully, A, Tuning, N, Ukleja, A, Unverzagt, DJ, Usachov, A, Ustyuzhanin, A, Uwer, U, Vagner, A, Vagnoni, V, Valassi, A, Valenti, G, Valls Canudas, N, van Beuzekom, M, Van Hecke, H, van Herwijnen, E, Van Hulse, CB, van Veghel, M, Vazquez Gomez, R, Vazquez Regueiro, P, Vázquez Sierra, C, Vecchi, S, Velthuis, JJ, Veltri, M, Venkateswaran, A, Veronesi, M, Vesterinen, M, Viana Barbosa, JV, Vieira, D, Vieites Diaz, M, Viemann, H, Vilasis-Cardona, X, Vilella Figueras, E, Vincent, P, Vitali, G, Vitkovskiy, A, Vollhardt, A, Vom Bruch, D, Vorobyev, A, Vorobyev, V, Voropaev, N, Waldi, R, Walsh, J, Wang, C, Wang, J, Wang, J, Wang, J, Wang, J, Wang, M, Wang, R, Wang, Y, Wang, Z, Ward, DR, Wark, HM, Watson, NK, Weber, SG, Websdale, D, Weiden, A, Weisser, C, Westhenry, BDC, White, DJ, Whitehead, M, Wiedner, D, Wilkinson, G, Wilkinson, M, Williams, I, Williams, M, Williams, MRJ, Williams, T, Wilson, FF, Wislicki, W, Witek, M, Witola, L, Wormser, G, Wotton, SA, Wu, H, Wyllie, K, Xiang, Z, Xiao, D, Xie, Y, Xing, H, Xu, A, Xu, J, Xu, L, Xu, M, Xu, Q, Xu, Z, Xu, Z, Yang, D, Yang, Y, Yang, Z, Yang, Z, Yao, Y, Yeomans, LE, Yin, H, Yu, J, Yuan, X, Yushchenko, O, Zarebski, KA, Zavertyaev, M, Zdybal, M, Zenaiev, O, Zeng, M, Zhang, D, Zhang, L, Zhang, S, Zhang, Y, Zhelezov, A, Zheng, Y, Zhou, X, Zhou, Y, Zhu, X, Zhukov, V, Zonneveld, JB, Zucchelli, S, Zuliani, D and Zunica, G
(2020)
Measurement of branching fraction ratios for B+ → D*+D−K+, B+ → D*−D+K+, and B0 → D*−D0K+ decays.
Journal of High Energy Physics, 2020 (12).
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Abstract
<jats:title>A<jats:sc>bstract</jats:sc></jats:title><jats:p>A measurement of four branching-fraction ratios for three-body decays of<jats:italic>B</jats:italic>mesons involving two open-charm hadrons in the final state is presented. Run 1 and Run 2<jats:italic>pp</jats:italic>collision data are used, recorded by the LHCb experiment at centre-of-mass energies 7, 8, and 13 TeV and corresponding to an integrated luminosity of 9 fb<jats:sup><jats:italic>−</jats:italic>1</jats:sup>. The measured branching-fraction ratios are<jats:disp-formula><jats:alternatives><jats:tex-math>$$ {\displaystyle \begin{array}{c}\frac{\mathcal{B}\left({B}^{+}\to {D}^{\ast +}{D}^{-}{K}^{+}\right)}{\mathcal{B}\left({B}^{+}\to {\overline{D}}^0{D}^0{K}^{+}\right)}=0.517\pm 0.015\pm 0.013\pm 0.011,\\ {}\frac{\mathcal{B}\left({B}^{+}\to {D}^{\ast -}{D}^{+}{K}^{+}\right)}{\mathcal{B}\left({B}^{+}\to {\overline{D}}^0{D}^0{K}^{+}\right)}=0.577\pm 0.016\pm 0.013\pm 0.013,\\ {}\begin{array}{c}\frac{\mathcal{B}\left({B}^0\to {D}^{\ast -}{D}^0{K}^{+}\right)}{\mathcal{B}\left({B}^0\to {D}^{-}{D}^0{K}^{+}\right)}=1.754\pm 0.028\pm 0.016\pm 0.035,\\ {}\frac{\mathcal{B}\left({B}^{+}\to {D}^{\ast +}{D}^{-}{K}^{+}\right)}{\mathcal{B}\left({B}^{+}\to {D}^{\ast -}{D}^{+}{K}^{+}\right)}=0.907\pm 0.033\pm 0.014,\end{array}\end{array}} $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mtable><mml:mtr><mml:mtd><mml:mfrac><mml:mrow><mml:mi>B</mml:mi><mml:mfenced><mml:mrow><mml:msup><mml:mi>B</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:msup><mml:mi>D</mml:mi><mml:mrow><mml:mo>∗</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mi>D</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:msup><mml:mi>K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:mi>B</mml:mi><mml:mfenced><mml:mrow><mml:msup><mml:mi>B</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:msup><mml:mover><mml:mi>D</mml:mi><mml:mo>¯</mml:mo></mml:mover><mml:mn>0</mml:mn></mml:msup><mml:msup><mml:mi>D</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:msup><mml:mi>K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:mfenced></mml:mrow></mml:mfrac><mml:mo>=</mml:mo><mml:mn>0.517</mml:mn><mml:mo>±</mml:mo><mml:mn>0.015</mml:mn><mml:mo>±</mml:mo><mml:mn>0.013</mml:mn><mml:mo>±</mml:mo><mml:mn>0.011</mml:mn><mml:mo>,</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mfrac><mml:mrow><mml:mi>B</mml:mi><mml:mfenced><mml:mrow><mml:msup><mml:mi>B</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:msup><mml:mi>D</mml:mi><mml:mrow><mml:mo>∗</mml:mo><mml:mo>−</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mi>D</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:mi>B</mml:mi><mml:mfenced><mml:mrow><mml:msup><mml:mi>B</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:msup><mml:mover><mml:mi>D</mml:mi><mml:mo>¯</mml:mo></mml:mover><mml:mn>0</mml:mn></mml:msup><mml:msup><mml:mi>D</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:msup><mml:mi>K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:mfenced></mml:mrow></mml:mfrac><mml:mo>=</mml:mo><mml:mn>0.577</mml:mn><mml:mo>±</mml:mo><mml:mn>0.016</mml:mn><mml:mo>±</mml:mo><mml:mn>0.013</mml:mn><mml:mo>±</mml:mo><mml:mn>0.013</mml:mn><mml:mo>,</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mtable><mml:mtr><mml:mtd><mml:mfrac><mml:mrow><mml:mi>B</mml:mi><mml:mfenced><mml:mrow><mml:msup><mml:mi>B</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:mo>→</mml:mo><mml:msup><mml:mi>D</mml:mi><mml:mrow><mml:mo>∗</mml:mo><mml:mo>−</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mi>D</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:msup><mml:mi>K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:mi>B</mml:mi><mml:mfenced><mml:mrow><mml:msup><mml:mi>B</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:mo>→</mml:mo><mml:msup><mml:mi>D</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:msup><mml:mi>D</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:msup><mml:mi>K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:mfenced></mml:mrow></mml:mfrac><mml:mo>=</mml:mo><mml:mn>1.754</mml:mn><mml:mo>±</mml:mo><mml:mn>0.028</mml:mn><mml:mo>±</mml:mo><mml:mn>0.016</mml:mn><mml:mo>±</mml:mo><mml:mn>0.035</mml:mn><mml:mo>,</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mfrac><mml:mrow><mml:mi>B</mml:mi><mml:mfenced><mml:mrow><mml:msup><mml:mi>B</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:msup><mml:mi>D</mml:mi><mml:mrow><mml:mo>∗</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mi>D</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:msup><mml:mi>K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:mi>B</mml:mi><mml:mfenced><mml:mrow><mml:msup><mml:mi>B</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:msup><mml:mi>D</mml:mi><mml:mrow><mml:mo>∗</mml:mo><mml:mo>−</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mi>D</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:mfenced></mml:mrow></mml:mfrac><mml:mo>=</mml:mo><mml:mn>0.907</mml:mn><mml:mo>±</mml:mo><mml:mn>0.033</mml:mn><mml:mo>±</mml:mo><mml:mn>0.014</mml:mn><mml:mo>,</mml:mo></mml:mtd></mml:mtr></mml:mtable></mml:mtd></mml:mtr></mml:mtable></mml:math></jats:alternatives></jats:disp-formula></jats:p><jats:p>where the first of the uncertainties is statistical, the second systematic, and the third is due to the uncertainties on the<jats:italic>D</jats:italic>-meson branching fractions. These are the most accurate measurements of these ratios to date.</jats:p>
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