PL EN


Preferences help
enabled [disable] Abstract
Number of results
Journal
2013 | 11 | 2 | 182-194
Article title

Factorization in the model of unstable particles with continuous masses

Content
Title variants
Languages of publication
EN
Abstracts
EN
We study processes with unstable particles in intermediate time-like states. It is shown that the amplitudes squared of such processes factor exactly in the framework of the model of unstable particles with continuous masses. Decay widths and cross sections can then be represented in a universal factorized form for an arbitrary set of interacting particles. This exact factorization is caused by specific structure of propagators in the model. We formulate the factorization method and perform a phenomenological analysis of the factorization effects. The factorization method considerably simplifies calculations while leading to compact and reasonable results.
Publisher
Journal
Year
Volume
11
Issue
2
Pages
182-194
Physical description
Dates
published
1 - 2 - 2013
online
9 - 2 - 2013
References
  • [1] A. Sirlin, Phys. Lett. B 267, 240 (1991) http://dx.doi.org/10.1016/0370-2693(91)91254-S[Crossref]
  • [2] S. Kudaka, S. Matsumoto, J. Math. Phys. 40, 1237 (1999) http://dx.doi.org/10.1063/1.532797[Crossref]
  • [3] P. Busch, arXiv:quant-ph/0105049
  • [4] M. Lévy, Nuovo Cimento 13, 115 (1959) http://dx.doi.org/10.1007/BF02727534[Crossref]
  • [5] R. Jacob, R. G. Sachs, Phys. Rev. 121, 350 (1961) http://dx.doi.org/10.1103/PhysRev.121.350[Crossref]
  • [6] G. Burgers, In: G. Altarelli et al. (Ed.), Workshop on Polarization in LEP, Geneva, Switzerland, 9–11 November 1987 (CERN, Geneva, 1988) 121
  • [7] W. Beenakker, W. Hollik, Z. Phys. C Part. Fields 40, 141 (1988) http://dx.doi.org/10.1007/BF01559728[Crossref]
  • [8] S. Willenbrock, G. Valencia, Phys. Lett. B 259, 373 (1991) http://dx.doi.org/10.1016/0370-2693(91)90843-F[Crossref]
  • [9] J. Papavassiliou, A. Pilaftsis, Phys. Rev. D 53, 2128 (1996) http://dx.doi.org/10.1103/PhysRevD.53.2128[Crossref]
  • [10] M. L. Nekrasov, Eur. Phys. J. C 19, 441 (2001) http://dx.doi.org/10.1007/s100520100610[Crossref]
  • [11] V. I. Kuksa, N. I. Volchanskiy, Int. J. Mod. Phys. A 25, 2049 (2010) http://dx.doi.org/10.1142/S0217751X1004824X[Crossref]
  • [12] P. T. Matthews, A. Salam, Phys. Rev. 112, 283 (1958) http://dx.doi.org/10.1103/PhysRev.112.283[Crossref]
  • [13] P. T. Matthews, A. Salam, Phys. Rev. 115, 1079 (1959) http://dx.doi.org/10.1103/PhysRev.115.1079[Crossref]
  • [14] J. Schwinger, Ann. Phys. New York 9, 169 (1960) http://dx.doi.org/10.1016/0003-4916(60)90027-0[Crossref]
  • [15] M. Veltman, Physica 29, 186 (1963) http://dx.doi.org/10.1016/S0031-8914(63)80277-3[Crossref]
  • [16] R. G. Stuart, Phys. Lett. B 262, 113 (1991) http://dx.doi.org/10.1016/0370-2693(91)90653-8[Crossref]
  • [17] M. Passera, A. Sirlin, Phys. Rev. D 58, 113010 (1998) http://dx.doi.org/10.1103/PhysRevD.58.113010[Crossref]
  • [18] A. R. Bohm, N. L. Harshman, Nucl. Phys. B 581, 91 (2000) http://dx.doi.org/10.1016/S0550-3213(00)00249-2[Crossref]
  • [19] P. A. Grassi, B. A. Kniehl, A. Sirlin, Phys. Rev. Lett. 86, 389 (2001) http://dx.doi.org/10.1103/PhysRevLett.86.389[Crossref]
  • [20] P. A. Grassi, B. A. Kniehl, A. Sirlin, Phys. Rev. D 65, 085001 (2002)
  • [21] M. L. Nekrasov, Phys. Lett. B 531, 225 (2002) http://dx.doi.org/10.1016/S0370-2693(02)01435-1[Crossref]
  • [22] P. Kielanowski, arXiv:quant-ph/0312178
  • [23] G. Montagna, O. Nicrosini, F. Piccinini, Riv. Nuovo Cimento 21, 1 (1998)
  • [24] D. Bardin, G. Passarino, The Standard Model in the Making: Precision Study of the Electroweak Interactions, (Oxford University Press, USA, 1999)
  • [25] W. Beenakker, G. A. Berends, A. P. Chapovsky, Nucl. Phys. B 548, 3 (1999) http://dx.doi.org/10.1016/S0550-3213(99)00110-8[Crossref]
  • [26] A. Denner, G. Weiglein, S. Dittmaier, Nucl. Phys. B 440, 95 (1995) http://dx.doi.org/10.1016/0550-3213(95)00037-S[Crossref]
  • [27] A. Denner, S. Dittmaier, M. Roth, Nucl. Phys. B 519, 39 (1998) http://dx.doi.org/10.1016/S0550-3213(98)00046-7[Crossref]
  • [28] J. Papavassiliou, A. Pilaftsis, Phys. Rev. Lett. 75, 3060 (1995) http://dx.doi.org/10.1103/PhysRevLett.75.3060[Crossref]
  • [29] D. Binosi, J. Papavassiliou, Phys. Rev. D 66, 111901 (2002) http://dx.doi.org/10.1103/PhysRevD.66.111901[Crossref]
  • [30] A. Denner, S. Dittmaier, M. Roth, L. H. Wieders, Nucl. Phys. B 724, 247 (2005) http://dx.doi.org/10.1016/j.nuclphysb.2005.06.033[Crossref]
  • [31] A. Denner, S. Dittmaier, M. Roth, L. H. Wieders, Phys. Lett. B 612, 223 (2005) http://dx.doi.org/10.1016/j.physletb.2005.03.007[Crossref]
  • [32] D. Berdine, N. Kauer, D. Rainwater, Phys. Rev. Lett. 99, 111601 (2007) http://dx.doi.org/10.1103/PhysRevLett.99.111601[Crossref]
  • [33] G. Altarelli, L. Conti, V. Lubicz, Phys. Lett. B 502, 125 (2001) http://dx.doi.org/10.1016/S0370-2693(00)01333-2[Crossref]
  • [34] S. Bar-Shalom, G. Eilam, M. Frank, I. Turan, Phys. Rev. D 72, 055018 (2005) http://dx.doi.org/10.1103/PhysRevD.72.055018[Crossref]
  • [35] A. N. Kamal, R. C. Verma, Phys. Rev. D 45, 982 (1992) http://dx.doi.org/10.1103/PhysRevD.45.982[Crossref]
  • [36] T. Uppal, R. C. Verma, Z. Phys. C Part. Fields 56, 273 (1992) http://dx.doi.org/10.1007/BF01555524[Crossref]
  • [37] T. Uppal, R. C. Verma, Phys. Rev. D 46, 2982 (1992) http://dx.doi.org/10.1103/PhysRevD.46.2982[Crossref]
  • [38] H. Kaur, M. P. Khanna, J. Phys. G Nucl. Partic. 26, 387 (2000) http://dx.doi.org/10.1088/0954-3899/26/4/305[Crossref]
  • [39] A. P. Chapovsky, V. A. Khoze, A. Signer, W. J. Stirling, Nucl. Phys. B 621, 257 (2002) http://dx.doi.org/10.1016/S0550-3213(01)00577-6[Crossref]
  • [40] M. Beneke, A. P. Chapovsky, A. Signer, G. Zanderighi, Phys. Rev. Lett. 93, 011602 (2004) http://dx.doi.org/10.1103/PhysRevLett.93.011602[Crossref]
  • [41] V. I. Kuksa, Int. J. Mod. Phys. A 24, 1185 (2009) http://dx.doi.org/10.1142/S0217751X09043092[Crossref]
  • [42] J. D. Jackson, Nuovo Cimento 34, 1644 (1964) http://dx.doi.org/10.1007/BF02750563[Crossref]
  • [43] J. Pišút, M. Roos, Nucl. Phys. B 6, 325 (1968) http://dx.doi.org/10.1016/0550-3213(68)90001-1[Crossref]
  • [44] P. Lichard, Acta Phys. Slovaca 49, 215 (1999)
  • [45] V. I. Kuksa, Phys. Lett. B 633, 545 (2006) http://dx.doi.org/10.1016/j.physletb.2005.12.002[Crossref]
  • [46] V. I. Kuksa, Int. J. Mod. Phys. A 23, 4509 (2008) http://dx.doi.org/10.1142/S0217751X08041682[Crossref]
  • [47] V. I. Kuksa, R. S. Pasechnik, Int. J. Mod. Phys. A 23, 4125 (2008) http://dx.doi.org/10.1142/S0217751X08041748[Crossref]
  • [48] V. I. Kuksa, Phys. Atom. Nucl+. 72, 1063 (2009) http://dx.doi.org/10.1134/S1063778809060192[Crossref]
  • [49] V. I. Kuksa, R. S. Pasechnik, Phys. Atom. Nucl+. 73, 1622 (2010) http://dx.doi.org/10.1134/S1063778810090140[Crossref]
  • [50] V. I. Kuksa, R. S. Pasechnik, Int. J. Mod. Phys. A 24, 5765 (2009) http://dx.doi.org/10.1142/S0217751X09047648[Crossref]
  • [51] R. Kumar, Phys. Rev. 185, 1865 (1969) http://dx.doi.org/10.1103/PhysRev.185.1865[Crossref]
  • [52] W. Beenakker et al., In: G. Altarelli, T. Sjöstrand, F. Zwirner (Ed.), Physics at LEP2 (CERN, Geneva, 1996) 79
  • [53] M. W. Grünewald et al., arXiv:hep-ph/0005309
  • [54] R. G. Stuart, Phys. Rev. Lett. 70, 3193 (1993) http://dx.doi.org/10.1103/PhysRevLett.70.3193[Crossref]
  • [55] O. W. Greenberg, Ann. Phys. New York 16, 158 (1961) http://dx.doi.org/10.1016/0003-4916(61)90032-X[Crossref]
  • [56] A. L. Licht, Ann. Phys. New York 34, 161 (1965) http://dx.doi.org/10.1016/0003-4916(65)90044-8[Crossref]
  • [57] W. Karwowski, J. Lukierski, N. Sznajder, Nuovo Cimento A 63, 509 (1969) http://dx.doi.org/10.1007/BF02756230[Crossref]
  • [58] J. Lukierski, Nuovo Cimento A 60, 353 (1969) http://dx.doi.org/10.1007/BF02757009[Crossref]
  • [59] J. Lukierski, Nuovo Cimento A 23, 716 (1974) http://dx.doi.org/10.1007/BF02821987[Crossref]
  • [60] A. Brzeski, J. Lukierski, Acta Phys. Pol. B 6, 577 (1975)
  • [61] V. I. Kuksa, R. S. Pasechnik, D. E. Vlasenko, Int. J. Mod. Phys. A 27, 50072 (2012) http://dx.doi.org/10.1142/S0217751X12500728[Crossref]
  • [62] R. Pasechnik, V. Kuksa, Mod. Phys. Lett. A 26, 1075 (2011) http://dx.doi.org/10.1142/S0217732311035651[Crossref]
  • [63] T. Pilling, Mod. Phys. Lett. A 19, 1781 (2004) http://dx.doi.org/10.1142/S0217732304014975[Crossref]
  • [64] T. Pilling, Int. J. Mod. Phys. A 20, 2715 (2005) http://dx.doi.org/10.1142/S0217751X05021300[Crossref]
  • [65] F. A. Berends, J. W. van Holten, P. Nieuwenhuizen, B. de Wit, Nucl. Phys. B 154, 261 (1979) http://dx.doi.org/10.1016/0550-3213(79)90514-5[Crossref]
  • [66] R. E. Behrends, C. Fronsdal, Phys. Rev. 106, 345 (1957) http://dx.doi.org/10.1103/PhysRev.106.345[Crossref]
  • [67] C. Fronsdal, Nuovo Cimento 9, 416 (1958) http://dx.doi.org/10.1007/BF02747684[Crossref]
Document Type
Publication order reference
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-012-0155-3
Identifiers
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.