Abstract
In the MSSM with complex parameters, loop corrections to the decay of a stop into a bottom quark and a chargino can lead to a CP violating decay rate asymmetry. We calculate this asymmetry at full one-loop level and perform a detailed numerical study, analyzing the dependence on the parameters and complex phases involved. If the stop can decay into a gluino, the self-energy and the vertex correction dominate due to the strong coupling. It is shown that the vertex contribution is always suppressed. We therefore give a simple approximate formula for the asymmetry. We account for the constraints on the parameters coming from several experimental limits. Asymmetries up to 25 percent are obtained. We also comment on the feasibility of measuring this asymmetry at the LHC.
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M. Dugan, B. Grinstein, L.J. Hall, Nucl. Phys. B 255, 413 (1985)
T. Ibrahim, P. Nath, Phys. Rev. D 57, 478 (1998). arXiv:hep-ph/9708456
M. Brhlik, G.J. Good, G.L. Kane, Phys. Rev. D 59, 115004 (1999). arXiv:hep-ph/9810457
A. Bartl, T. Gajdosik, W. Porod, P. Stockinger, H. Stremnitzer, Phys. Rev. D 60, 073003 (1999). arXiv:hep-ph/9903402
A. Pilaftsis, Nucl. Phys. B 644, 263 (2002). arXiv:hep-ph/0207277
A. Bartl, W. Majerotto, W. Porod, D. Wyler, Phys. Rev. D 68, 053005 (2003). arXiv:hep-ph/0306050
V.D. Barger et al., Phys. Rev. D 64, 056007 (2001). arXiv:hep-ph/0101106
M. Pospelov, A. Ritz, Ann. Phys. 318, 119 (2005). arXiv:hep-ph/0504231
K.A. Olive, M. Pospelov, A. Ritz, Y. Santoso, Phys. Rev. D 72, 075001 (2005). arXiv:hep-ph/0506106
S. Abel, O. Lebedev, J. High Energy Phys. 01, 133 (2006). arXiv:hep-ph/0508135
S. Yaser Ayazi, Y. Farzan, Phys. Rev. D 74, 055008 (2006). arXiv:hep-ph/0605272
J.R. Ellis, J.S. Lee, A. Pilaftsis, J. High Energy Phys. 10, 049 (2008). arXiv:0808.1819 [hep-ph]
T. Gajdosik, Acta Phys. Pol. B 40, 3171 (2009). arXiv:0910.3512 [hep-ph]
S. Kraml, in Proceedings of SUSY07, Karlsruhe, Germany, 26 Jul–1 Aug 2007 (2007), p. 132. arXiv:0710.5117 [hep-ph]
E. Christova, H. Eberl, W. Majerotto, S. Kraml, Nucl. Phys. B 639, 263 (2002). arXiv:hep-ph/0205227
E. Christova, H. Eberl, E. Ginina, W. Majerotto, J. High Energy Phys. 02, 075 (2007). arXiv:hep-ph/0612088
E. Christova, H. Eberl, W. Majerotto, S. Kraml, J. High Energy Phys. 12, 021 (2002). arXiv:hep-ph/0211063
E. Christova, E. Ginina, M. Stoilov, J. High Energy Phys. 11, 027 (2003). arXiv:hep-ph/0307319
E. Ginina, contributed to 4th Advanced Research Workshop: Gravity, Astrophysics, and Strings at the Black Sea, Kiten, Bourgas, Bulgaria, 10–16 Jun 2007 (2008). arXiv:0801.2344 [hep-ph]
E. Christova, H. Eberl, E. Ginina, Talk given at Prospects for Charged Higgs Discovery at Colliders (CHARGED 2008), Uppsala, Sweden, 16–19 Sep 2008 (2008). arXiv:0812.0265 [hep-ph]
E. Christova, H. Eberl, E. Ginina, W. Majerotto, Phys. Rev. D 79, 096005 (2009). arXiv:0812.4392 [hep-ph]
M. Frank, I. Turan, Phys. Rev. D 76, 076008 (2007). arXiv:0708.0026 [hep-ph]
M. Frank, I. Turan, Phys. Rev. D 76, 016001 (2007). arXiv:hep-ph/0703184
A. Arhrib, R. Benbrik, M. Chabab, W.T. Chang, T.-C. Yuan, Int. J. Mod. Phys. A 22, 6022 (2008). arXiv:0708.1301 [hep-ph]
H. Eberl, T. Gajdosik, W. Majerotto, B. Schrausser, Phys. Lett. B 618, 171 (2005). arXiv:hep-ph/0502112
J. Ellis, F. Moortgat, G. Moortgat-Pick, J.M. Smillie, J. Tattersall, Eur. Phys. J. C 60, 633 (2009). arXiv:0809.1607 [hep-ph]
F. Deppisch, O. Kittel, J. High Energy Phys. 09, 110 (2009). arXiv:0905.3088 [hep-ph]
G. Moortgat-Pick, K. Rolbiecki, J. Tattersall, P. Wienemann, J. High Energy Phys. 01, 004 (2010). arXiv:0908.2631 [hep-ph]
S.M.R. Frank, H. Eberl, AIP Conf. Proc. 1200, 518 (2010). arXiv:0910.0154 [hep-ph]
S. Frank, Master’s thesis, Johannes Kepler University Linz, 2008. arXiv:0909.3969 [hep-ph]
G. Passarino, M.J.G. Veltman, Nucl. Phys. B 160, 151 (1979)
A. Denner, Fortschr. Phys. 41, 307 (1993). arXiv:0709.1075 [hep-ph]
T. Hahn, Comput. Phys. Commun. 140, 418 (2001). arXiv:hep-ph/0012260
J.S. Lee, M. Carena, J. Ellis, A. Pilaftsis, C.E.M. Wagner, Comput. Phys. Commun. 180, 312 (2009). arXiv:0712.2360 [hep-ph]
C. Amsler et al. (Particle Data Group), Phys. Lett. B 667, 1 (2008), and 2009 partial update for the 2010 edition
W.C. Griffith et al., Phys. Rev. Lett. 102, 101601 (2009)
E. Komatsu et al. (WMAP), Astrophys. J. Suppl. 180, 330 (2009). arXiv:0803.0547 [hep-ph]
G. Belanger, F. Boudjema, S. Kraml, A. Pukhov, A. Semenov, Phys. Rev. D 73, 115007 (2006). arXiv:hep-ph/0604150
G. Belanger, F. Boudjema, A. Pukhov, A. Semenov, Comput. Phys. Commun. 176, 367 (2007). arXiv:hep-ph/0607059
E. Barberio et al. (Heavy Flavor Averaging Group), (2008). arXiv:0808.1297, and online update at http://www.slac.stanford.edu/xorg/hfag
S. Kraml, H. Eberl, A. Bartl, W. Majerotto, W. Porod, Phys. Lett. B 386, 175 (1996). arXiv:hep-ph/9605412
J. Guasch, W. Hollik, J. Sola, (2003). arXiv:hep-ph/0307011
G. Moortgat-Pick, K. Rolbiecki, J. Tattersall, (2010). arXiv:1008.2206 [hep-ph]
W. Beenakker, M. Kramer, T. Plehn, M. Spira, P.M. Zerwas, Nucl. Phys. B 515, 3 (1998). arXiv:hep-ph/9710451
U. Dydak, CMS TN/96-022 (1996)
A. Bartl, W. Majerotto, K. Monig, A.N. Skachkova, N.B. Skachkov, Phys. Part. Nucl. Lett. 6, 181 (2009). arXiv:0906.3805 [hep-ph]
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Eberl, H., Frank, S.M.R. & Majerotto, W. CP violating asymmetry in stop decay into bottom and chargino. Eur. Phys. J. C 70, 1017–1024 (2010). https://doi.org/10.1140/epjc/s10052-010-1501-5
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DOI: https://doi.org/10.1140/epjc/s10052-010-1501-5