Factorization in the model of unstable particles with continuous masses

• Authors: Vladimir Kuksa , Nikolay Volchanskiy
• 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.

Keywords

EN

unstable particles   model with continuous masses   generalized free fields  

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 2
• Pages: 182-194

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]

Identifiers

DOI

10.2478/s11534-012-0155-3