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Measurement of the $B^{0} \to π^{-} ℓ^{+} ν$ and $B^{+} \to η^{(')} ℓ^{+} ν$ branching fractions, the $B^{0} \to π^{-} ℓ^{+} ν$ and $B^{+} \to η ℓ^{+} ν$ form-factor shapes, and determination of $| V_{u b} |$

P. del Amo Sanchez¹, J. P. Lees¹, V. Poireau¹, E. Prencipe¹, V. Tisserand¹, J. Garra Tico², E. Grauges², M. Martinelli^3a,3b, D. A. Milanes^3a,3b et al. (BABAR Collaboration)

D. A. Milanes^3a,3b, A. Palano^3a,3b, M. Pappagallo^3a,3b, G. Eigen⁴, B. Stugu⁴, L. Sun⁴, D. N. Brown⁵, L. T. Kerth⁵, Yu. G. Kolomensky⁵, G. Lynch⁵, I. L. Osipenkov⁵, H. Koch⁶, T. Schroeder⁶, D. J. Asgeirsson⁷, C. Hearty⁷, T. S. Mattison⁷, J. A. McKenna⁷, A. Khan⁸, A. Randle-Conde⁸, V. E. Blinov⁹, A. R. Buzykaev⁹, V. P. Druzhinin⁹, V. B. Golubev⁹, E. A. Kravchenko⁹, A. P. Onuchin⁹, S. I. Serednyakov⁹, Yu. I. Skovpen⁹, E. P. Solodov⁹, K. Yu. Todyshev⁹, A. N. Yushkov⁹, M. Bondioli¹⁰, S. Curry¹⁰, D. Kirkby¹⁰, A. J. Lankford¹⁰, M. Mandelkern¹⁰, E. C. Martin¹⁰, D. P. Stoker¹⁰, H. Atmacan¹¹, J. W. Gary¹¹, F. Liu¹¹, O. Long¹¹, G. M. Vitug¹¹, C. Campagnari¹², T. M. Hong¹², D. Kovalskyi¹², J. D. Richman¹², C. West¹², A. M. Eisner¹³, C. A. Heusch¹³, J. Kroseberg¹³, W. S. Lockman¹³, A. J. Martinez¹³, T. Schalk¹³, B. A. Schumm¹³, A. Seiden¹³, L. O. Winstrom¹³, C. H. Cheng¹⁴, D. A. Doll¹⁴, B. Echenard¹⁴, D. G. Hitlin¹⁴, P. Ongmongkolkul¹⁴, F. C. Porter¹⁴, A. Y. Rakitin¹⁴, R. Andreassen¹⁵, M. S. Dubrovin¹⁵, G. Mancinelli¹⁵, B. T. Meadows¹⁵, M. D. Sokoloff¹⁵, P. C. Bloom¹⁶, W. T. Ford¹⁶, A. Gaz¹⁶, M. Nagel¹⁶, U. Nauenberg¹⁶, J. G. Smith¹⁶, S. R. Wagner¹⁶, R. Ayad^17,*, W. H. Toki¹⁷, H. Jasper¹⁸, T. M. Karbach¹⁸, A. Petzold¹⁸, B. Spaan¹⁸, M. J. Kobel¹⁹, K. R. Schubert¹⁹, R. Schwierz¹⁹, D. Bernard²⁰, M. Verderi²⁰, P. J. Clark²¹, S. Playfer²¹, J. E. Watson²¹, M. Andreotti^22a,22b, D. Bettoni^22a, C. Bozzi^22a, R. Calabrese^22a,22b, A. Cecchi^22a,22b, G. Cibinetto^22a,22b, E. Fioravanti^22a,22b, P. Franchini^22a,22b, E. Luppi^22a,22b, M. Munerato^22a,22b, M. Negrini^22a,22b, A. Petrella^22a,22b, L. Piemontese^22a, R. Baldini-Ferroli²³, A. Calcaterra²³, R. de Sangro²³, G. Finocchiaro²³, M. Nicolaci²³, S. Pacetti²³, P. Patteri²³, I. M. Peruzzi^23,†, M. Piccolo²³, M. Rama²³, A. Zallo²³, R. Contri^24a,24b, E. Guido^24a,24b, M. Lo Vetere^24a,24b, M. R. Monge^24a,24b, S. Passaggio^24a, C. Patrignani^24a,24b, E. Robutti^24a, S. Tosi^24a,24b, B. Bhuyan²⁵, V. Prasad²⁵, C. L. Lee²⁶, M. Morii²⁶, A. Adametz²⁷, J. Marks²⁷, U. Uwer²⁷, F. U. Bernlochner²⁸, M. Ebert²⁸, H. M. Lacker²⁸, T. Lueck²⁸, A. Volk²⁸, P. D. Dauncey²⁹, M. Tibbetts²⁹, P. K. Behera³⁰, U. Mallik³⁰, C. Chen³¹, J. Cochran³¹, H. B. Crawley³¹, L. Dong³¹, W. T. Meyer³¹, S. Prell³¹, E. I. Rosenberg³¹, A. E. Rubin³¹, A. V. Gritsan³², Z. J. Guo³², N. Arnaud³³, M. Davier³³, D. Derkach³³, J. Firmino da Costa³³, G. Grosdidier³³, F. Le Diberder³³, A. M. Lutz³³, B. Malaescu³³, A. Perez³³, P. Roudeau³³, M. H. Schune³³, J. Serrano³³, V. Sordini^33,‡, A. Stocchi³³, L. Wang³³, G. Wormser³³, D. J. Lange³⁴, D. M. Wright³⁴, I. Bingham³⁵, C. A. Chavez³⁵, J. P. Coleman³⁵, J. R. Fry³⁵, E. Gabathuler³⁵, R. Gamet³⁵, D. E. Hutchcroft³⁵, D. J. Payne³⁵, C. Touramanis³⁵, A. J. Bevan³⁶, F. Di Lodovico³⁶, R. Sacco³⁶, M. Sigamani³⁶, G. Cowan³⁷, S. Paramesvaran³⁷, A. C. Wren³⁷, D. N. Brown³⁸, C. L. Davis³⁸, A. G. Denig³⁹, M. Fritsch³⁹, W. Gradl³⁹, A. Hafner³⁹, K. E. Alwyn⁴⁰, D. Bailey⁴⁰, R. J. Barlow⁴⁰, G. Jackson⁴⁰, G. D. Lafferty⁴⁰, J. Anderson⁴¹, R. Cenci⁴¹, A. Jawahery⁴¹, D. A. Roberts⁴¹, G. Simi⁴¹, J. M. Tuggle⁴¹, C. Dallapiccola⁴², E. Salvati⁴², R. Cowan⁴³, D. Dujmic⁴³, G. Sciolla⁴³, M. Zhao⁴³, D. Lindemann⁴⁴, P. M. Patel⁴⁴, S. H. Robertson⁴⁴, M. Schram⁴⁴, P. Biassoni^45a,45b, A. Lazzaro^45a,45b, V. Lombardo^45a, F. Palombo^45a,45b, S. Stracka^45a,45b, L. Cremaldi⁴⁶, R. Godang^46,§, R. Kroeger⁴⁶, P. Sonnek⁴⁶, D. J. Summers⁴⁶, X. Nguyen⁴⁷, M. Simard⁴⁷, P. Taras⁴⁷, G. De Nardo^48a,48b, D. Monorchio^48a,48b, G. Onorato^48a,48b, C. Sciacca^48a,48b, G. Raven⁴⁹, H. L. Snoek⁴⁹, C. P. Jessop⁵⁰, K. J. Knoepfel⁵⁰, J. M. LoSecco⁵⁰, W. F. Wang⁵⁰, L. A. Corwin⁵¹, K. Honscheid⁵¹, R. Kass⁵¹, J. P. Morris⁵¹, N. L. Blount⁵², J. Brau⁵², R. Frey⁵², O. Igonkina⁵², J. A. Kolb⁵², R. Rahmat⁵², N. B. Sinev⁵², D. Strom⁵², J. Strube⁵², E. Torrence⁵², G. Castelli^53a,53b, E. Feltresi^53a,53b, N. Gagliardi^53a,53b, M. Margoni^53a,53b, M. Morandin^53a, M. Posocco^53a, M. Rotondo^53a, F. Simonetto^53a,53b, R. Stroili^53a,53b, E. Ben-Haim⁵⁴, G. R. Bonneaud⁵⁴, H. Briand⁵⁴, G. Calderini⁵⁴, J. Chauveau⁵⁴, O. Hamon⁵⁴, Ph. Leruste⁵⁴, G. Marchiori⁵⁴, J. Ocariz⁵⁴, J. Prendki⁵⁴, S. Sitt⁵⁴, M. Biasini^55a,55b, E. Manoni^55a,55b, A. Rossi^55a,55b, C. Angelini^56a,56b, G. Batignani^56a,56b, S. Bettarini^56a,56b, M. Carpinelli^56a,56b,∥, G. Casarosa^56a,56b, A. Cervelli^56a,56b, F. Forti^56a,56b, M. A. Giorgi^56a,56b, A. Lusiani^56a,56c, N. Neri^56a,56b, E. Paoloni^56a,56b, G. Rizzo^56a,56b, J. J. Walsh^56a, D. Lopes Pegna⁵⁷, C. Lu⁵⁷, J. Olsen⁵⁷, A. J. S. Smith⁵⁷, A. V. Telnov⁵⁷, F. Anulli^58a, E. Baracchini^58a,58b, G. Cavoto^58a, R. Faccini^58a,58b, F. Ferrarotto^58a, F. Ferroni^58a,58b, M. Gaspero^58a,58b, L. Li Gioi^58a, M. A. Mazzoni^58a, G. Piredda^58a, F. Renga^58a,58b, T. Hartmann⁵⁹, T. Leddig⁵⁹, H. Schröder⁵⁹, R. Waldi⁵⁹, T. Adye⁶⁰, B. Franek⁶⁰, E. O. Olaiya⁶⁰, F. F. Wilson⁶⁰, S. Emery⁶¹, G. Hamel de Monchenault⁶¹, G. Vasseur⁶¹, Ch. Yèche⁶¹, M. Zito⁶¹, M. T. Allen⁶², D. Aston⁶², D. J. Bard⁶², R. Bartoldus⁶², J. F. Benitez⁶², C. Cartaro⁶², M. R. Convery⁶², J. Dorfan⁶², G. P. Dubois-Felsmann⁶², W. Dunwoodie⁶², R. C. Field⁶², M. Franco Sevilla⁶², B. G. Fulsom⁶², A. M. Gabareen⁶², M. T. Graham⁶², P. Grenier⁶², C. Hast⁶², W. R. Innes⁶², M. H. Kelsey⁶², H. Kim⁶², P. Kim⁶², M. L. Kocian⁶², D. W. G. S. Leith⁶², S. Li⁶², B. Lindquist⁶², S. Luitz⁶², H. L. Lynch⁶², D. B. MacFarlane⁶², H. Marsiske⁶², D. R. Muller⁶², H. Neal⁶², S. Nelson⁶², C. P. O’Grady⁶², I. Ofte⁶², M. Perl⁶², T. Pulliam⁶², B. N. Ratcliff⁶², A. Roodman⁶², A. A. Salnikov⁶², V. Santoro⁶², R. H. Schindler⁶², J. Schwiening⁶², A. Snyder⁶², D. Su⁶², M. K. Sullivan⁶², S. Sun⁶², K. Suzuki⁶², J. M. Thompson⁶², J. Va’vra⁶², A. P. Wagner⁶², M. Weaver⁶², W. J. Wisniewski⁶², M. Wittgen⁶², D. H. Wright⁶², H. W. Wulsin⁶², A. K. Yarritu⁶², C. C. Young⁶², V. Ziegler⁶², X. R. Chen⁶³, W. Park⁶³, M. V. Purohit⁶³, R. M. White⁶³, J. R. Wilson⁶³, S. J. Sekula⁶⁴, M. Bellis⁶⁵, P. R. Burchat⁶⁵, A. J. Edwards⁶⁵, T. S. Miyashita⁶⁵, S. Ahmed⁶⁶, M. S. Alam⁶⁶, J. A. Ernst⁶⁶, B. Pan⁶⁶, M. A. Saeed⁶⁶, S. B. Zain⁶⁶, N. Guttman⁶⁷, A. Soffer⁶⁷, P. Lund⁶⁸, S. M. Spanier⁶⁸, R. Eckmann⁶⁹, J. L. Ritchie⁶⁹, A. M. Ruland⁶⁹, C. J. Schilling⁶⁹, R. F. Schwitters⁶⁹, B. C. Wray⁶⁹, J. M. Izen⁷⁰, X. C. Lou⁷⁰, F. Bianchi^71a,71b, D. Gamba^71a,71b, M. Pelliccioni^71a,71b, M. Bomben^72a,72b, L. Lanceri^72a,72b, L. Vitale^72a,72b, N. Lopez-March⁷³, F. Martinez-Vidal⁷³, A. Oyanguren⁷³, J. Albert⁷⁴, Sw. Banerjee⁷⁴, H. H. F. Choi⁷⁴, K. Hamano⁷⁴, G. J. King⁷⁴, R. Kowalewski⁷⁴, M. J. Lewczuk⁷⁴, C. Lindsay⁷⁴, I. M. Nugent⁷⁴, J. M. Roney⁷⁴, R. J. Sobie⁷⁴, T. J. Gershon⁷⁵, P. F. Harrison⁷⁵, T. E. Latham⁷⁵, E. M. T. Puccio⁷⁵, H. R. Band⁷⁶, S. Dasu⁷⁶, K. T. Flood⁷⁶, Y. Pan⁷⁶, R. Prepost⁷⁶, C. O. Vuosalo⁷⁶, and S. L. Wu⁷⁶ (BABAR Collaboration)

¹Laboratoire d’Annecy-le-Vieux de Physique des Particules (LAPP), Université de Savoie, CNRS/IN2P3, F-74941 Annecy-Le-Vieux, France
²Universitat de Barcelona, Facultat de Fisica, Departament ECM, E-08028 Barcelona, Spain
^3aINFN Sezione di Bari, I-70126 Bari, Italy
^3bDipartimento di Fisica, Università di Bari, I-70126 Bari, Italy
⁴University of Bergen, Institute of Physics, N-5007 Bergen, Norway
⁵Lawrence Berkeley National Laboratory and University of California, Berkeley, California 94720, USA
⁶Ruhr Universität Bochum, Institut für Experimentalphysik 1, D-44780 Bochum, Germany
⁷University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1
⁸Brunel University, Uxbridge, Middlesex UB8 3PH, United Kingdom
⁹Budker Institute of Nuclear Physics, Novosibirsk 630090, Russia
¹⁰University of California at Irvine, Irvine, California 92697, USA
¹¹University of California at Riverside, Riverside, California 92521, USA
¹²University of California at Santa Barbara, Santa Barbara, California 93106, USA
¹³University of California at Santa Cruz, Institute for Particle Physics, Santa Cruz, California 95064, USA
¹⁴California Institute of Technology, Pasadena, California 91125, USA
¹⁵University of Cincinnati, Cincinnati, Ohio 45221, USA
¹⁶University of Colorado, Boulder, Colorado 80309, USA
¹⁷Colorado State University, Fort Collins, Colorado 80523, USA
¹⁸Technische Universität Dortmund, Fakultät Physik, D-44221 Dortmund, Germany
¹⁹Technische Universität Dresden, Institut für Kern- und Teilchenphysik, D-01062 Dresden, Germany
²⁰Laboratoire Leprince-Ringuet, CNRS/IN2P3, Ecole Polytechnique, F-91128 Palaiseau, France
²¹University of Edinburgh, Edinburgh EH9 3JZ, United Kingdom
^22aINFN Sezione di Ferrara, I-44100 Ferrara, Italy
^22bDipartimento di Fisica, Università di Ferrara, I-44100 Ferrara, Italy
²³INFN Laboratori Nazionali di Frascati, I-00044 Frascati, Italy
^24aINFN Sezione di Genova, I-16146 Genova, Italy
^24bDipartimento di Fisica, Università di Genova, I-16146 Genova, Italy
²⁵Indian Institute of Technology Guwahati, Guwahati, Assam, 781 039, India
²⁶Harvard University, Cambridge, Massachusetts 02138, USA
²⁷Universität Heidelberg, Physikalisches Institut, Philosophenweg 12, D-69120 Heidelberg, Germany
²⁸Humboldt-Universität zu Berlin, Institut für Physik, Newtonstraβe 15, D-12489 Berlin, Germany
²⁹Imperial College London, London, SW7 2AZ, United Kingdom
³⁰University of Iowa, Iowa City, Iowa 52242, USA
³¹Iowa State University, Ames, Iowa 50011-3160, USA
³²Johns Hopkins University, Baltimore, Maryland 21218, USA
³³Laboratoire de l’Accélérateur Linéaire, IN2P3/CNRS et Université Paris-Sud 11, Centre Scientifique d’Orsay, B. P. 34, F-91898 Orsay Cedex, France
³⁴Lawrence Livermore National Laboratory, Livermore, California 94550, USA
³⁵University of Liverpool, Liverpool L69 7ZE, United Kingdom
³⁶Queen Mary, University of London, London, E1 4NS, United Kingdom
³⁷University of London, Royal Holloway and Bedford New College, Egham, Surrey TW20 0EX, United Kingdom
³⁸University of Louisville, Louisville, Kentucky 40292, USA
³⁹Johannes Gutenberg-Universität Mainz, Institut für Kernphysik, D-55099 Mainz, Germany
⁴⁰University of Manchester, Manchester M13 9PL, United Kingdom
⁴¹University of Maryland, College Park, Maryland 20742, USA
⁴²University of Massachusetts, Amherst, Massachusetts 01003, USA
⁴³Massachusetts Institute of Technology, Laboratory for Nuclear Science, Cambridge, Massachusetts 02139, USA
⁴⁴McGill University, Montréal, Québec, Canada H3A 2T8
^45aINFN Sezione di Milano, I-20133 Milano, Italy
^45bDipartimento di Fisica, Università di Milano, I-20133 Milano, Italy
⁴⁶University of Mississippi, University, Mississippi 38677, USA
⁴⁷Université de Montréal, Physique des Particules, Montréal, Québec, Canada H3C 3J7
^48aINFN Sezione di Napoli, I-80126 Napoli, Italy
^48bDipartimento di Scienze Fisiche, Università di Napoli Federico II, I-80126 Napoli, Italy
⁴⁹NIKHEF, National Institute for Nuclear Physics and High Energy Physics, NL-1009 DB Amsterdam, The Netherlands
⁵⁰University of Notre Dame, Notre Dame, Indiana 46556, USA
⁵¹Ohio State University, Columbus, Ohio 43210, USA
⁵²University of Oregon, Eugene, Oregon 97403, USA
^53aINFN Sezione di Padova, I-35131 Padova, Italy
^53bDipartimento di Fisica, Università di Padova, I-35131 Padova, Italy
⁵⁴Laboratoire de Physique Nucléaire et de Hautes Energies, IN2P3/CNRS, Université Pierre et Marie Curie-Paris6, Université Denis Diderot-Paris7, F-75252 Paris, France
^55aINFN Sezione di Perugia, I-06100 Perugia, Italy
^55bDipartimento di Fisica, Università di Perugia, I-06100 Perugia, Italy
^56aINFN Sezione di Pisa, I-56127 Pisa, Italy
^56bDipartimento di Fisica, Università di Pisa, I-56127 Pisa, Italy
^56cScuola Normale Superiore di Pisa, I-56127 Pisa, Italy
⁵⁷Princeton University, Princeton, New Jersey 08544, USA
^58aINFN Sezione di Roma, I-00185 Roma, Italy
^58bDipartimento di Fisica, Università di Roma La Sapienza, I-00185 Roma, Italy
⁵⁹Universität Rostock, D-18051 Rostock, Germany
⁶⁰Rutherford Appleton Laboratory, Chilton, Didcot, Oxon, OX11 0QX, United Kingdom
⁶¹CEA, Irfu, SPP, Centre de Saclay, F-91191 Gif-sur-Yvette, France
⁶²SLAC National Accelerator Laboratory, Stanford, California 94309 USA
⁶³University of South Carolina, Columbia, South Carolina 29208, USA
⁶⁴Southern Methodist University, Dallas, Texas 75275, USA
⁶⁵Stanford University, Stanford, California 94305-4060, USA
⁶⁶State University of New York, Albany, New York 12222, USA
⁶⁷Tel Aviv University, School of Physics and Astronomy, Tel Aviv, 69978, Israel
⁶⁸University of Tennessee, Knoxville, Tennessee 37996, USA
⁶⁹University of Texas at Austin, Austin, Texas 78712, USA
⁷⁰University of Texas at Dallas, Richardson, Texas 75083, USA
^71aINFN Sezione di Torino, I-10125 Torino, Italy
^71bDipartimento di Fisica Sperimentale, Università di Torino, I-10125 Torino, Italy
^72aINFN Sezione di Trieste, I-34127 Trieste, Italy
^72bDipartimento di Fisica, Università di Trieste, I-34127 Trieste, Italy
⁷³IFIC, Universitat de Valencia-CSIC, E-46071 Valencia, Spain
⁷⁴University of Victoria, Victoria, British Columbia, Canada V8W 3P6
⁷⁵Department of Physics, University of Warwick, Coventry CV4 7AL, United Kingdom
⁷⁶University of Wisconsin, Madison, Wisconsin 53706, USA

^*Now at Temple University, Philadelphia, PA 19122, USA.
^†Also with Università di Perugia, Dipartimento di Fisica, Perugia, Italy.
^‡Also with Università di Roma La Sapienza, I-00185 Roma, Italy.
^§Now at University of South Alabama, Mobile, AL 36688, USA.
^∥Also with Università di Sassari, Sassari, Italy.

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Phys. Rev. D 83, 052011 – Published 24 March, 2011

DOI: https://doi.org/10.1103/PhysRevD.83.052011

Abstract

We report the results of a study of the exclusive charmless semileptonic decays, $B^{+} \to η^{(')} ℓ^{+} ν$ and $B^{0} \to π^{-} ℓ^{+} ν$ , undertaken with approximately $464 \times 10^{6}$ $B \bar{B}$ pairs collected at the $Υ (4 S)$ resonance with the BABAR detector. The analysis uses events in which the signal $B$ decays are reconstructed with a loose neutrino reconstruction technique. We obtain partial branching fractions for $B^{+} \to η ℓ^{+} ν$ and $B^{0} \to π^{-} ℓ^{+} ν$ decays in three and 12 bins of $q^{2}$ , respectively, from which we extract the $f_{+} (q^{2})$ form-factor shapes and the total branching fractions $B (B^{+} \to η ℓ^{+} ν) = (0.36 \pm {0.05}_{stat} \pm {0.04}_{syst}) \times 10^{- 4}$ and $B (B^{0} \to π^{-} ℓ^{+} ν) = (1.42 \pm {0.05}_{stat} \pm {0.07}_{syst}) \times 10^{- 4}$ . We also measure $B (B^{+} \to η^{'} ℓ^{+} ν) = (0.24 \pm {0.08}_{stat} \pm {0.03}_{syst}) \times 10^{- 4}$ . We obtain values for the magnitude of the CKM matrix element $| V_{u b} |$ using three different QCD calculations.

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Measurement of the $B^{0} \to π^{-} ℓ^{+} ν$ and $B^{+} \to η^{(')} ℓ^{+} ν$ branching fractions, the $B^{0} \to π^{-} ℓ^{+} ν$ and $B^{+} \to η ℓ^{+} ν$ form-factor shapes, and determination of $| V_{u b} |$

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Measurement of the B0→π−ℓ+ν and B+→η(′)ℓ+ν branching fractions, the B0→π−ℓ+ν and B+→ηℓ+ν form-factor shapes, and determination of |Vub|

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Measurement of the $B^{0} \to π^{-} ℓ^{+} ν$ and $B^{+} \to η^{(')} ℓ^{+} ν$ branching fractions, the $B^{0} \to π^{-} ℓ^{+} ν$ and $B^{+} \to η ℓ^{+} ν$ form-factor shapes, and determination of $| V_{u b} |$