Summary
We evaluate a lower bound for the strange-quark mass which, we believe, is the smallest one that can be obtained without drastically mistrusting the whole philosophy of the Shifman, Vainshtein and Zakharov approach to the vacuum-polarization-like function operator expansion and the available electron-positron data. The obtained value ism s(−1(GeV)2)≥200 MeV.
Riassunto
Si valuta un limite inferiore per la massa del quark strano che riteniamo sia il minimo che si possa ottenere senza violare drasticamente lo spirito generale dell'approccio di Shifman, Vainshtein e Zakharov allo sviluppo operatoriale di funzioni tipo polarizzazione del vuoto e le risultanze sperimentali di annichilazione elettrone-positrone. Il valore ottenuto èm s(−1(GeV)2)≥200 MeV.
Резюме
Мы оцениваем нижнюю границу для массы странного кварка, которая яваляется наименьшей границей, которая может быть получена в рамках подхода Шифмана, Вайнштейна и Захарова к операторному разложению функций типа поляризации вакуума и с помощью имеющихся экспериментальных данных по аннигиляции электронов и позитронов. Полученная величина составляетm s—(1(ГэВ)2)≥≥200 МэВ.
Similar content being viewed by others
References
Y. Nambu andG. Jona-Lasinio:Phys. Rev.,124, 246 (1961);M. Gell-Mann, R. J. Oakes andB. Renner:Phys. Rev.,175, 2195 (1968).
See, for instance,S. Okubo:Phys. Rev.,188, 2293, 1300 (1969);H. Leutwyler:Nucl. Phys. B,76, 413 (1974);Phys. Lett. B,48, 431 (1974);M. Testa:Phys. Lett. B,56, 53 (1975);G. Furlan, N. Paver andC. Verzegnassi:Nuovo Cimento A,32, 75 (1976);S. Weinberg:Trans. N. Y. Acad. Sci., Series II,38, 185 (1977);H. Pagels andS. Stokar: preprint University (1980);J. Smit:Nucl. Phys. B,175, 307 (1980).
We use the notation ofM. D. Scadron:Rep. Prog. Phys.,44, 213 (1981).
SeeA. J. Buras, J. Ellis, M. K. Gaillard andD. V. Nanopoulos:Nucl. Phys. B,135, 66 (1978).
H. Georgi andH. D. Politzer:Phys. Rev. D,14, 1829 (1976).
See the discussion given byJ. Gasser andH. Leutwyler:Quark masses, University of Bern preprint (March 1982).
K. G. Wilson:Phys. Rev.,179, 1499 (1969).
M. A. Shifman, A. I. Vainshtein andV. I. Zakharov:Nucl. Phys. B,147, 385 (1979).
S. Narison, N. Paver, E. de Rafael andD. Treleani: LAPP-TH-56 (March 1982).
C. Verzegnassi: ISAS 21/82/EP (April 1982).
C. Verzegnassi:Nuovo Cimento A,64, 269 (1981).
E. G. Floratos, S. Narison andE. de Rafael:Nucl. Phys. B,115, 115 (1979).
B. Ovrut andH. Schmitzer:Nucl. Phys. B,179, 381 (1981);W. Bernreuther andW. Wetzel: Cornell preprint CLNS 81/500.
C. Bricman, C. Dionisi, M. Mazzucato, L. Montanet, N. Barash-Schmidt, R. C. Crawford, M. Roos, R. L. Kelly, C. P. Horne, M. J. Losty, A. Rittenberg, Y. Shimada, T. G. Trippe, C. G. Wohl, G. P. Yost andB. Armstrong:Rev. Mod. Phys.,52, 2 (1980).
G. J. Gounaris andJ. J. Sakurai:Phys. Rev. Lett.,21, 244 (1968).
J. E. Augustin, D. Benaskas, J. Buon, F. Fulda, V. Gracco, J. Haissininski, D. Lalanne, F. Laplanche, J. Lefrancois andP. Lehmann:Lett. Nuovo Cimento,2, 214 (1969).
A. Quenzer, M. Ribes, F. Rumpf, J. L. Bertrand, J. C. Bizot, R. L. Chase, A. Cordier, B. Delcourt, P. Eschstruth, F. Fulda, G. Grosdidier, J. Jeanjean, M. Jeanjean, R. J. Madaras, J. L. Masnou andJ. Perez-y-Jorba:Phys. Lett. B,76, 512 (1978);J. B. Vasserman, P. M. Ivanov, I. A. Koop, A. P. Lysenko, Yu. N. Pestov, A. N. Skrinsky, G. V. Fedotovich, V. G. Shamovsky andYu. M. Shatunov:Yad Fiz.,28, 968 (1978) (English translation:Sov. J. Nucl. Phys.,28, 496 (1978)), and references therein quoted;V. A. Sidorov:Proceedings of the 1979 International Symposium on Lepton and Photon Interaction at High-Energy (Batavia, Ill. 1979), p. 490;B. Esposito, F. Felicetti, A. Marini, I. Peruzzi, M. Piccolo, F. Ronga, A. Nigro, F. Vanoli, D. Bisello, M. Nigro, L. Pescara, P. Sartori, R. Bernabei, P. Monacelli, G. Piano Mortari, L. Paoluzzi andF. Sebastiani:Phys. Lett. B,67, 239 (1977);A. D. Bukin, I. B. Vasserman, I. A. Koop, L. M. Kurdadze, V. A. Sidorov, A. N. Skrinsky, G. M. Tumaikin, A. G. Khabakhpashev, A. G. Chilingarov, Yu. M. Shatunov, B. A. Schwarz andS. I. Eidelman:Phys. Lett. B,73, 226 (1978);D. Bollini, P. Giusti, T. Massam, L. Monari, F. Palmonari, G. Valenti andA. Zichichi:Lett. Nuovo Cimento,14, 418 (1975);I. A. Koop, L. M. Kurdadze, M. Yu. Lelchuk, V. A. Sidorov, A. N. Skrinski, A. G. Khabakhpashev, A. G. Chilingarov, Yu. M. Shatunov, B. A. Schwartz andS. I. Eidelman: Novosibirsk preprint 76-67 (1979);B. Esposito, A. Marini, G. Piano-Mortari, F. Ronga, S. Clearwater, T. Dombeck, B. Sechi-Zorn, G. T. Zorn, P. Patteri, D. Bisello, M. Nigro, L. Pescara, P. Sartori, R. Bernabei, S. D'Angelo, P. Monacelli, M. Moricca, L. Paoluzi, R. Santonico andF. Sebastiani:Lett. Nuovo Cimento,28, 337 (1980).
P. M. Ivanov, L. M. Kurdadze, V. A. Sidorov, A. N. Skrinsky, A. G. Chilimgarov, Yu. M. Shatunov, B. A. Schwarz andS. I. Eidelman: Novosibirsk preprint 79-68 (1979); see alsoV. A. Sidorov (ref.(4));B. Delcourt, J L. Bertrand, D. Bisello, J. C. Bizot, J. Buon, A Cordier, I. Derado, P. Eschstruth, L. Fayard, J. Jeanjean, M. Jeanjean, F. Manè, J. C. Parvan, M. Ribes andF. Rumpf.: Orsay report LAL-79/21 (1979);Proceedings of the 1979 International Symposium on Lepton and Photon Interactions at High-Energy (Batavia, Ill., 1979), p. 499;C. Bacci, G. De Zorzi, G. Penso, B. Stella, D. Bollini, R. Baldini Celio, G. Battistoni, G. Capon, R. Del Fabbro, E. Iarocci, M. M. Massai, S. Moriggi, G. P. Murtas. M. Spinetti andL. Trasatti:Phys. Lett B,86, 234 (1979);C. Bacci, G. De Zorzi, G. Penso, B. Stella, R. Baldini Celio, G. Battistoni, G. Capon, R. Del Fabbro, E. Iarocci, G. P. Murtas, M. Spinetti andL. Trasatti Nucl. Phys. B,184, 31 (1981), and references therein quoted;B. Delcourt, J. C. Bizot, D. Bisello, J. Buon, A. Cordier, I. Derado, L. Fayard, F. Manè, J. L. Bertrand, P. Eschstruth, J. Jeanjean, M. Jeanjean, J. C. Paravan, M. Ribes, andF. Rumpf:Proceedings of the 1981 International Symposium on Lepton and Photon Interactions at High Energies (Bonn, 1981), p. 205, and references therein quoted;B. Esposito, A. Marini, G. Piano Mortari, F. Ronga, M. Nigro, L. Pescara, R. Bernabei, S. D'Angelo, P. Monacelli, M. Moricca, L. Paoluzzi, R. Santonico andF. Sebastiani:Lett. Nuovo Cimento,31, 445 (1981), and references therein quoted.
See, for instance,J. S. Bell andR. A. Bertlmann:Nucl. Phys. B,177, 218 (1981);A. Bradley, C. S. Langensiepen andG. Shaw: Amsterdam National Institute for Nuclear Physics preprint, H/81-15 (1981).
See the last numerical values quoted byH. Leutwyler: BUtP-16/1981, University of Bern preprint.
Author information
Authors and Affiliations
Additional information
To speed up publication, the authors of this paper have agreed to not receive the proofs for correction.
Перевебено ребакцией.
Rights and permissions
About this article
Cite this article
Penso, G., Verzegnassi, C. A lower bound for the strange-quark mass. Nuov Cim A 72, 113–124 (1982). https://doi.org/10.1007/BF02902409
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02902409