Rapid Communication
Access by Xinjiang University

Measurement of the moments of the hadronic invariant mass distribution in semileptonic $B$ decays

D. Acosta¹⁶, J. Adelman¹², T. Affolder⁹, T. Akimoto⁵⁴, M. G. Albrow¹⁵, D. Ambrose⁴³, S. Amerio⁴², D. Amidei³³, A. Anastassov⁵⁰ et al. (CDF Collaboration)

A. Anastassov⁵⁰, K. Anikeev¹⁵, A. Annovi⁴⁴, J. Antos¹, M. Aoki⁵⁴, G. Apollinari¹⁵, T. Arisawa⁵⁶, J-F. Arguin³², A. Artikov¹³, W. Ashmanskas¹⁵, A. Attal⁷, F. Azfar⁴¹, P. Azzi-Bacchetta⁴², N. Bacchetta⁴², H. Bachacou²⁸, W. Badgett¹⁵, A. Barbaro-Galtieri²⁸, G. J. Barker²⁵, V. E. Barnes⁴⁶, B. A. Barnett²⁴, S. Baroiant⁶, M. Barone¹⁷, G. Bauer³¹, F. Bedeschi⁴⁴, S. Behari²⁴, S. Belforte⁵³, G. Bellettini⁴⁴, J. Bellinger⁵⁸, E. Ben-Haim¹⁵, D. Benjamin¹⁴, A. Beretvas¹⁵, A. Bhatti⁴⁸, M. Binkley¹⁵, D. Bisello⁴², M. Bishai¹⁵, R. E. Blair², C. Blocker⁵, K. Bloom³³, B. Blumenfeld²⁴, A. Bocci⁴⁸, A. Bodek⁴⁷, G. Bolla⁴⁶, A. Bolshov³¹, P. S. L. Booth²⁹, D. Bortoletto⁴⁶, J. Boudreau⁴⁵, S. Bourov¹⁵, B. Brau⁹, C. Bromberg³⁴, E. Brubaker¹², J. Budagov¹³, H. S. Budd⁴⁷, K. Burkett¹⁵, G. Busetto⁴², P. Bussey¹⁹, K. L. Byrum², S. Cabrera¹⁴, M. Campanelli¹⁸, M. Campbell³³, A. Canepa⁴⁶, M. Casarsa⁵³, D. Carlsmith⁵⁸, S. Carron¹⁴, R. Carosi⁴⁴, M. Cavalli-Sforza³, A. Castro⁴, P. Catastini⁴⁴, D. Cauz⁵³, A. Cerri²⁸, L. Cerrito²³, J. Chapman³³, C. Chen⁴³, Y. C. Chen¹, M. Chertok⁶, G. Chiarelli⁴⁴, G. Chlachidze¹³, F. Chlebana¹⁵, I. Cho²⁷, K. Cho²⁷, D. Chokheli¹³, J. P. Chou²⁰, M. L. Chu¹, S. Chuang⁵⁸, J. Y. Chung³⁸, W-H. Chung⁵⁸, Y. S. Chung⁴⁷, C. I. Ciobanu²³, M. A. Ciocci⁴⁴, A. G. Clark¹⁸, D. Clark⁵, M. Coca⁴⁷, A. Connolly²⁸, M. Convery⁴⁸, J. Conway⁶, B. Cooper³⁰, M. Cordelli¹⁷, G. Cortiana⁴², J. Cranshaw⁵², J. Cuevas¹⁰, R. Culbertson¹⁵, C. Currat²⁸, D. Cyr⁵⁸, D. Dagenhart⁵, S. Da Ronco⁴², S. D’Auria¹⁹, P. de Barbaro⁴⁷, S. De Cecco⁴⁹, G. De Lentdecker⁴⁷, S. Dell’Agnello¹⁷, M. Dell’Orso⁴⁴, S. Demers⁴⁷, L. Demortier⁴⁸, M. Deninno⁴, D. De Pedis⁴⁹, P. F. Derwent¹⁵, C. Dionisi⁴⁹, J. R. Dittmann¹⁵, C. Dörr²⁵, P. Doksus²³, A. Dominguez²⁸, S. Donati⁴⁴, M. Donega¹⁸, J. Donini⁴², M. D’Onofrio¹⁸, T. Dorigo⁴², V. Drollinger³⁶, K. Ebina⁵⁶, N. Eddy²³, J. Ehlers¹⁸, R. Ely²⁸, R. Erbacher⁶, M. Erdmann²⁵, D. Errede²³, S. Errede²³, R. Eusebi⁴⁷, H.-C. Fang²⁸, S. Farrington²⁹, I. Fedorko⁴⁴, W. T. Fedorko¹², R. G. Feild⁵⁹, M. Feindt²⁵, J. P. Fernandez⁴⁶, C. Ferretti³³, R. D. Field¹⁶, G. Flanagan³⁴, B. Flaugher¹⁵, L. R. Flores-Castillo⁴⁵, A. Foland²⁰, S. Forrester⁶, G. W. Foster¹⁵, M. Franklin²⁰, J. C. Freeman²⁸, Y. Fujii²⁶, I. Furic¹², A. Gajjar²⁹, A. Gallas³⁷, J. Galyardt¹¹, M. Gallinaro⁴⁸, M. Garcia-Sciveres²⁸, A. F. Garfinkel⁴⁶, C. Gay⁵⁹, H. Gerberich¹⁴, D. W. Gerdes³³, E. Gerchtein¹¹, S. Giagu⁴⁹, P. Giannetti⁴⁴, A. Gibson²⁸, K. Gibson¹¹, C. Ginsburg⁵⁸, K. Giolo⁴⁶, M. Giordani⁵³, M. Giunta⁴⁴, G. Giurgiu¹¹, V. Glagolev¹³, D. Glenzinski¹⁵, M. Gold³⁶, N. Goldschmidt³³, D. Goldstein⁷, J. Goldstein⁴¹, G. Gomez¹⁰, G. Gomez-Ceballos³¹, M. Goncharov⁵¹, O. González⁴⁶, I. Gorelov³⁶, A. T. Goshaw¹⁴, Y. Gotra⁴⁵, K. Goulianos⁴⁸, A. Gresele⁴, M. Griffiths²⁹, C. Grosso-Pilcher¹², U. Grundler²³, M. Guenther⁴⁶, J. Guimaraes da Costa²⁰, C. Haber²⁸, K. Hahn⁴³, S. R. Hahn¹⁵, E. Halkiadakis⁴⁷, A. Hamilton³², B-Y. Han⁴⁷, R. Handler⁵⁸, F. Happacher¹⁷, K. Hara⁵⁴, M. Hare⁵⁵, R. F. Harr⁵⁷, R. M. Harris¹⁵, F. Hartmann²⁵, K. Hatakeyama⁴⁸, J. Hauser⁷, C. Hays¹⁴, H. Hayward²⁹, E. Heider⁵⁵, B. Heinemann²⁹, J. Heinrich⁴³, M. Hennecke²⁵, M. Herndon²⁴, C. Hill⁹, D. Hirschbuehl²⁵, A. Hocker⁴⁷, K. D. Hoffman¹², A. Holloway²⁰, S. Hou¹, M. A. Houlden²⁹, B. T. Huffman⁴¹, Y. Huang¹⁴, R. E. Hughes³⁸, J. Huston³⁴, K. Ikado⁵⁶, J. Incandela⁹, G. Introzzi⁴⁴, M. Iori⁴⁹, Y. Ishizawa⁵⁴, C. Issever⁹, A. Ivanov⁴⁷, Y. Iwata²², B. Iyutin³¹, E. James¹⁵, D. Jang⁵⁰, J. Jarrell³⁶, D. Jeans⁴⁹, H. Jensen¹⁵, E. J. Jeon²⁷, M. Jones⁴⁶, K. K. Joo²⁷, S. Y. Jun¹¹, T. Junk²³, T. Kamon⁵¹, J. Kang³³, M. Karagoz Unel³⁷, P. E. Karchin⁵⁷, S. Kartal¹⁵, Y. Kato⁴⁰, Y. Kemp²⁵, R. Kephart¹⁵, U. Kerzel²⁵, V. Khotilovich⁵¹, B. Kilminster³⁸, D. H. Kim²⁷, H. S. Kim²³, J. E. Kim²⁷, M. J. Kim¹¹, M. S. Kim²⁷, S. B. Kim²⁷, S. H. Kim⁵⁴, T. H. Kim³¹, Y. K. Kim¹², B. T. King²⁹, M. Kirby¹⁴, L. Kirsch⁵, S. Klimenko¹⁶, B. Knuteson³¹, B. R. Ko¹⁴, H. Kobayashi⁵⁴, P. Koehn³⁸, D. J. Kong²⁷, K. Kondo⁵⁶, J. Konigsberg¹⁶, K. Kordas³², A. Korn³¹, A. Korytov¹⁶, K. Kotelnikov³⁵, A. V. Kotwal¹⁴, A. Kovalev⁴³, J. Kraus²³, I. Kravchenko³¹, A. Kreymer¹⁵, J. Kroll⁴³, M. Kruse¹⁴, V. Krutelyov⁵¹, S. E. Kuhlmann², S. Kwang¹², A. T. Laasanen⁴⁶, S. Lai³², S. Lami⁴⁸, S. Lammel¹⁵, J. Lancaster¹⁴, M. Lancaster³⁰, R. Lander⁶, K. Lannon³⁸, A. Lath⁵⁰, G. Latino³⁶, R. Lauhakangas²¹, I. Lazzizzera⁴², Y. Le²⁴, C. Lecci²⁵, T. LeCompte², J. Lee²⁷, J. Lee⁴⁷, S. W. Lee⁵¹, R. Lefèvre³, N. Leonardo³¹, S. Leone⁴⁴, S. Levy¹², J. D. Lewis¹⁵, K. Li⁵⁹, C. Lin⁵⁹, C. S. Lin¹⁵, M. Lindgren¹⁵, E. Lipeles⁸, T. M. Liss²³, A. Lister¹⁸, D. O. Litvintsev¹⁵, T. Liu¹⁵, Y. Liu¹⁸, N. S. Lockyer⁴³, A. Loginov³⁵, M. Loreti⁴², P. Loverre⁴⁹, R-S. Lu¹, D. Lucchesi⁴², P. Lujan²⁸, P. Lukens¹⁵, G. Lungu¹⁶, L. Lyons⁴¹, J. Lys²⁸, R. Lysak¹, D. MacQueen³², R. Madrak¹⁵, K. Maeshima¹⁵, P. Maksimovic²⁴, L. Malferrari⁴, G. Manca²⁹, R. Marginean³⁸, C. Marino²³, A. Martin²⁴, M. Martin⁵⁹, V. Martin³⁷, M. Martínez³, T. Maruyama⁵⁴, H. Matsunaga⁵⁴, M. Mattson⁵⁷, P. Mazzanti⁴, K. S. McFarland⁴⁷, D. McGivern³⁰, P. M. McIntyre⁵¹, P. McNamara⁵⁰, R. NcNulty²⁹, A. Mehta²⁹, S. Menzemer³¹, A. Menzione⁴⁴, P. Merkel¹⁵, C. Mesropian⁴⁸, A. Messina⁴⁹, T. Miao¹⁵, N. Miladinovic⁵, L. Miller²⁰, R. Miller³⁴, J. S. Miller³³, R. Miquel²⁸, S. Miscetti¹⁷, G. Mitselmakher¹⁶, A. Miyamoto²⁶, Y. Miyazaki⁴⁰, N. Moggi⁴, B. Mohr⁷, R. Moore¹⁵, M. Morello⁴⁴, P. A. Movilla Fernandez²⁸, A. Mukherjee¹⁵, M. Mulhearn³¹, T. Muller²⁵, R. Mumford²⁴, A. Munar⁴³, P. Murat¹⁵, J. Nachtman¹⁵, S. Nahn⁵⁹, I. Nakamura⁴³, I. Nakano³⁹, A. Napier⁵⁵, R. Napora²⁴, D. Naumov³⁶, V. Necula¹⁶, F. Niell³³, J. Nielsen²⁸, C. Nelson¹⁵, T. Nelson¹⁵, C. Neu⁴³, M. S. Neubauer⁸, C. Newman-Holmes¹⁵, T. Nigmanov⁴⁵, L. Nodulman², O. Norniella³, K. Oesterberg²¹, T. Ogawa⁵⁶, S. H. Oh¹⁴, Y. D. Oh²⁷, T. Ohsugi²², T. Okusawa⁴⁰, R. Oldeman⁴⁹, R. Orava²¹, W. Orejudos²⁸, C. Pagliarone⁴⁴, E. Palencia¹⁰, R. Paoletti⁴⁴, V. Papadimitriou¹⁵, S. Pashapour³², J. Patrick¹⁵, G. Pauletta⁵³, M. Paulini¹¹, T. Pauly⁴¹, C. Paus³¹, D. Pellett⁶, A. Penzo⁵³, T. J. Phillips¹⁴, G. Piacentino⁴⁴, J. Piedra¹⁰, K. T. Pitts²³, C. Plager⁷, A. Pompoš⁴⁶, L. Pondrom⁵⁸, G. Pope⁴⁵, X. Portell³, O. Poukhov¹³, F. Prakoshyn¹³, T. Pratt²⁹, A. Pronko¹⁶, J. Proudfoot², F. Ptohos¹⁷, G. Punzi⁴⁴, J. Rademacker⁴¹, M. A. Rahaman⁴⁵, A. Rakitine³¹, S. Rappoccio²⁰, F. Ratnikov⁵⁰, H. Ray³³, B. Reisert¹⁵, V. Rekovic³⁶, P. Renton⁴¹, M. Rescigno⁴⁹, F. Rimondi⁴, K. Rinnert²⁵, L. Ristori⁴⁴, W. J. Robertson¹⁴, A. Robson⁴¹, T. Rodrigo¹⁰, S. Rolli⁵⁵, L. Rosenson³¹, R. Roser¹⁵, R. Rossin⁴², C. Rott⁴⁶, J. Russ¹¹, V. Rusu¹², A. Ruiz¹⁰, D. Ryan⁵⁵, H. Saarikko²¹, S. Sabik³², A. Safonov⁶, R. St. Denis¹⁹, W. K. Sakumoto⁴⁷, G. Salamanna⁴⁹, D. Saltzberg⁷, C. Sanchez³, A. Sansoni¹⁷, L. Santi⁵³, S. Sarkar⁴⁹, K. Sato⁵⁴, P. Savard³², A. Savoy-Navarro¹⁵, P. Schlabach¹⁵, E. E. Schmidt¹⁵, M. P. Schmidt⁵⁹, M. Schmitt³⁷, L. Scodellaro¹⁰, A. Scribano⁴⁴, F. Scuri⁴⁴, A. Sedov⁴⁶, S. Seidel³⁶, Y. Seiya⁴⁰, F. Semeria⁴, L. Sexton-Kennedy¹⁵, I. Sfiligoi¹⁷, M. D. Shapiro²⁸, T. Shears²⁹, P. F. Shepard⁴⁵, D. Sherman²⁰, M. Shimojima⁵⁴, M. Shochet¹², Y. Shon⁵⁸, I. Shreyber³⁵, A. Sidoti⁴⁴, J. Siegrist²⁸, M. Siket¹, A. Sill⁵², P. Sinervo³², A. Sisakyan¹³, A. Skiba²⁵, A. J. Slaughter¹⁵, K. Sliwa⁵⁵, D. Smirnov³⁶, J. R. Smith⁶, F. D. Snider¹⁵, R. Snihur³², A. Soha⁶, S. V. Somalwar⁵⁰, J. Spalding¹⁵, M. Spezziga⁵², L. Spiegel¹⁵, F. Spinella⁴⁴, M. Spiropulu⁹, P. Squillacioti⁴⁴, H. Stadie²⁵, B. Stelzer³², O. Stelzer-Chilton³², J. Strologas³⁶, D. Stuart⁹, A. Sukhanov¹⁶, K. Sumorok³¹, H. Sun⁵⁵, T. Suzuki⁵⁴, A. Taffard²³, R. Tafirout³², S. F. Takach⁵⁷, H. Takano⁵⁴, R. Takashima²², Y. Takeuchi⁵⁴, K. Takikawa⁵⁴, M. Tanaka², R. Tanaka³⁹, N. Tanimoto³⁹, S. Tapprogge²¹, M. Tecchio³³, P. K. Teng¹, K. Terashi⁴⁸, R. J. Tesarek¹⁵, S. Tether³¹, J. Thom¹⁵, A. S. Thompson¹⁹, E. Thomson⁴³, P. Tipton⁴⁷, V. Tiwari¹¹, S. Tkaczyk¹⁵, D. Toback⁵¹, K. Tollefson³⁴, T. Tomura⁵⁴, D. Tonelli⁴⁴, M. Tönnesmann³⁴, S. Torre⁴⁴, D. Torretta¹⁵, S. Tourneur¹⁵, W. Trischuk³², J. Tseng⁴¹, R. Tsuchiya⁵⁶, S. Tsuno³⁹, D. Tsybychev¹⁶, N. Turini⁴⁴, M. Turner²⁹, F. Ukegawa⁵⁴, T. Unverhau¹⁹, S. Uozumi⁵⁴, D. Usynin⁴³, L. Vacavant²⁸, A. Vaiciulis⁴⁷, A. Varganov³³, E. Vataga⁴⁴, S. Vejcik, III¹⁵, G. Velev¹⁵, V. Veszpremi⁴⁶, G. Veramendi²³, T. Vickey²³, R. Vidal¹⁵, I. Vila¹⁰, R. Vilar¹⁰, I. Vollrath³², I. Volobouev²⁸, M. von der Mey⁷, P. Wagner⁵¹, R. G. Wagner², R. L. Wagner¹⁵, W. Wagner²⁵, R. Wallny⁷, T. Walter²⁵, T. Yamashita³⁹, K. Yamamoto⁴⁰, Z. Wan⁵⁰, M. J. Wang¹, S. M. Wang¹⁶, A. Warburton³², B. Ward¹⁹, S. Waschke¹⁹, D. Waters³⁰, T. Watts⁵⁰, M. Weber²⁸, W. C. Wester, III¹⁵, B. Whitehouse⁵⁵, A. B. Wicklund², E. Wicklund¹⁵, H. H. Williams⁴³, P. Wilson¹⁵, B. L. Winer³⁸, P. Wittich⁴³, S. Wolbers¹⁵, M. Wolter⁵⁵, M. Worcester⁷, S. Worm⁵⁰, T. Wright³³, X. Wu¹⁸, F. Würthwein⁸, A. Wyatt³⁰, A. Yagil¹⁵, C. Yang⁵⁹, U. K. Yang¹², W. Yao²⁸, G. P. Yeh¹⁵, K. Yi²⁴, J. Yoh¹⁵, P. Yoon⁴⁷, K. Yorita⁵⁶, T. Yoshida⁴⁰, I. Yu²⁷, S. Yu⁴³, Z. Yu⁵⁹, J. C. Yun¹⁵, L. Zanello⁴⁹, A. Zanetti⁵³, I. Zaw²⁰, F. Zetti⁴⁴, J. Zhou⁵⁰, A. Zsenei¹⁸, and S. Zucchelli ⁴ (CDF Collaboration)

¹Institute of Physics, Academia Sinica, Taipei, Taiwan 11529, Republic of China
²Argonne National Laboratory, Argonne, Illinois 60439, USA
³Institut de Fisica d’Altes Energies, Universitat Autonoma de Barcelona, E-08193, Bellaterra (Barcelona), Spain
⁴Istituto Nazionale di Fisica Nucleare, University of Bologna, I-40127 Bologna, Italy
⁵Brandeis University, Waltham, Massachusetts 02254, USA
⁶University of California at Davis, Davis, California 95616, USA
⁷University of California at Los Angeles, Los Angeles, California 90024, USA
⁸University of California at San Diego, La Jolla, California 92093, USA
⁹University of California at Santa Barbara, Santa Barbara, California 93106, USA
¹⁰Instituto de Fisica de Cantabria, CSIC-University of Cantabria, 39005 Santander, Spain
¹¹Carnegie Mellon University, Pittsburgh, Pennsylvania 15213 , USA
¹²Enrico Fermi Institute, University of Chicago, Chicago, Illinois 60637, USA
¹³Joint Institute for Nuclear Research, RU-141980 Dubna, Russia
¹⁴Duke University, Durham, North Carolina 27708
¹⁵Fermi National Accelerator Laboratory, Batavia, Illinois 60510, USA
¹⁶University of Florida, Gainesville, Florida 32611, USA
¹⁷Laboratori Nazionali di Frascati, Istituto Nazionale di Fisica Nucleare, I-00044 Frascati, Italy
¹⁸University of Geneva, CH-1211 Geneva 4, Switzerland
¹⁹Glasgow University, Glasgow G12 8QQ, United Kingdom
²⁰Harvard University, Cambridge, Massachusetts 02138, USA
²¹The Helsinki Group: Helsinki Institute of Physics; and Division of High Energy Physics, Department of Physical Sciences, University of Helsinki, FIN-00044, Helsinki, Finland
²²Hiroshima University, Higashi-Hiroshima 724, Japan
²³University of Illinois, Urbana, Illinois 61801, USA
²⁴The Johns Hopkins University, Baltimore, Maryland 21218, USA
²⁵Institut für Experimentelle Kernphysik, Universität Karlsruhe, 76128 Karlsruhe, Germany
²⁶High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki 305, Japan
²⁷Center for High Energy Physics: Kyungpook National University, Taegu 702-701; Seoul National University, Seoul 151-742; and SungKyunKwan University, Suwon 440-746; Korea
²⁸Ernest Orlando Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
²⁹University of Liverpool, Liverpool L69 7ZE, United Kingdom
³⁰University College London, London WC1E 6BT, United Kingdom
³¹Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
³²Institute of Particle Physics: McGill University, Montréal, Canada H3A 2T8; and University of Toronto, Toronto, Canada M5S 1A7
³³University of Michigan, Ann Arbor, Michigan 48109, USA
³⁴Michigan State University, East Lansing, Michigan 48824, USA
³⁵Institution for Theoretical and Experimental Physics, ITEP, Moscow 117259, Russia
³⁶University of New Mexico, Albuquerque, New Mexico 87131, USA
³⁷Northwestern University, Evanston, Illinois 60208, USA
³⁸The Ohio State University, Columbus, Ohio 43210, USA
³⁹Okayama University, Okayama 700-8530, Japan
⁴⁰Osaka City University, Osaka 588, Japan
⁴¹University of Oxford, Oxford OX1 3RH, United Kingdom
⁴²University of Padova, Istituto Nazionale di Fisica Nucleare, Sezione di Padova-Trento, I-35131 Padova, Italy
⁴³University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
⁴⁴Istituto Nazionale di Fisica Nucleare, University and Scuola Normale Superiore of Pisa, I-56100 Pisa, Italy
⁴⁵University of Pittsburgh, Pittsburgh, Pennsylvania 15260, USA
⁴⁶Purdue University, West Lafayette, Indiana 47907, USA
⁴⁷University of Rochester, Rochester, New York 14627, USA
⁴⁸The Rockefeller University, New York, New York 10021, USA
⁴⁹Istituto Nazionale di Fisica Nucleare, Sezione di Roma 1, University di Roma “La Sapienza,” I-00185 Roma, Italy
⁵⁰Rutgers University, Piscataway, New Jersey 08855, USA
⁵¹Texas A&M University, College Station, Texas 77843, USA
⁵²Texas Tech University, Lubbock, Texas 79409, USA
⁵³Istituto Nazionale di Fisica Nucleare, University of Trieste/ Udine, Italy
⁵⁴University of Tsukuba, Tsukuba, Ibaraki 305, Japan
⁵⁵Tufts University, Medford, Massachusetts 02155, USA
⁵⁶Waseda University, Tokyo 169, Japan
⁵⁷Wayne State University, Detroit, Michigan 48201, USA
⁵⁸University of Wisconsin, Madison, Wisconsin 53706, USA
⁵⁹Yale University, New Haven, Connecticut 06520, USA

PDF

Phys. Rev. D 71, 051103(R) – Published 18 March, 2005

DOI: https://doi.org/10.1103/PhysRevD.71.051103

Abstract

Using 180 $p b^{- 1}$ of data collected with the CDF II detector at the Tevatron, we measure the first two moments of the hadronic invariant mass-squared distribution in charmed semileptonic $B$ decays. From these we determine the nonperturbative Heavy Quark Effective Theory parameters $Λ$ and $λ_{1}$ used to relate the $B$ meson semileptonic branching ratio to the CKM matrix element $| V_{c b} |$ . For a minimum lepton momentum of 0.7 GeV/ $c$ in the $B$ rest frame we measure the first two moments of the $D^{**} \to D^{(*)} π$ component to be $⟨ m_{D^{**}}^{2} ⟩ = (5.83 \pm {0.16}_{stat} \pm {0.08}_{syst}) {GeV}^{2} / c^{4}$ and $⟨ (m_{D^{**}}^{2} - ⟨ m_{D^{**}}^{2} ⟩)^{2} ⟩ = (1.30 \pm {0.69}_{stat} \pm {0.22}_{syst}) Ge V^{4} / c^{8}$ . Combining these with the discrete mass terms from the $D$ and $D^{*}$ mesons, we find the total moments to be $⟨ M_{X_{c}}^{2} ⟩ - {\bar{m}}_{D}^{2} = (0.467 \pm {0.038}_{stat} \pm {0.068}_{syst}) Ge V^{2} / c^{4}$ and $⟨ (M_{X_{c}}^{2} - ⟨ M_{X_{c}}^{2} ⟩)^{2} ⟩ = (1.05 \pm {0.26}_{stat} \pm {0.13}_{syst}) Ge V^{4} / c^{8}$ , where ${\bar{m}}_{D}$ is the spin-averaged $D$ mass. The systematic error is dominated by the uncertainties in the world-average branching ratios used to combine the $D$ , $D^{*}$ , and $D^{**}$ contributions. The analysis makes no assumptions about the shape or resonant structure of the $D^{**} \to D^{(*)} π$ invariant mass distribution.

Article Text

References (13)

A. Falk, M. Luke, and M. Savage, Phys. Rev. D 53, 2491 (1996); M. Gremm and A. Kaputsin, 55, 6924 (1997); A. Falk and M. Luke, 57, 424 (1998).
C. W. Bauer, Z. Ligeti, M. Luke, and A. V. Manohar, Phys. Rev. D 67, 054012 (2003).
S. Eidelman et al., Phys. Lett. B 592, 1 (2004).
CDF Collab., D. Acosta et al., Phys. Rev. D 68, 072004 (2003).
B. Ashmanskas et al., Nucl. Instrum. Methods Phys. Res., Sect. A 518, 532 (2004).
D. Scora and N. Isgur, Phys. Rev. D 52, 2783 (1995).
J. L. Goity and W. Roberts, Phys. Rev. D 51, 3459 (1995).
R. Brun and F. Carminati, CERN Programming Library Long Write-up W5013 1993 (unpublished).
B. Efron, Ann. Stat. 7, 1 (1979); A. Stuart and J. K. Ord, Kendall’s Advanced Theory of Statistics (Oxford University Press, New York, 1987), Vol. 1, 5th Ed., p. 339.
CLEO Collab., D. Cronin-Hennessy et al., Phys. Rev. Lett. 87, 251808 (2001); M. Battaglia et al., Phys. Lett. B 556, 41 (2003); BABAR Collab., B. Aubert et al., Phys. Rev. D 69, 111103 (2004).
CLEO Collab., H. Mahmood et al., Phys. Rev. D 67, 072001 (2003); M. Battaglia et al., Phys. Lett. B 556, 41 (2003); BABAR Collab., B. Aubert et al., Phys. Rev. D 69, 111104 (2004).
CLEO Collab., S. Chen et al., Phys. Rev. Lett. 87, 251807 (2001).
C. W. Bauer, Z. Ligeti, M. Luke, A. V. Manohar, and M. Trott, Phys. Rev. D 70, 094017 (2004).

Physical Review D

Export citation

Export citation

Measurement of the moments of the hadronic invariant mass distribution in semileptonic $B$ decays

Abstract

Article Text

References (13)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation

Measurement of the moments of the hadronic invariant mass distribution in semileptonic B decays

Abstract

Article Text

References (13)

Measurement of the moments of the hadronic invariant mass distribution in semileptonic $B$ decays