Abstract
We analyse the low-energy phenomenology of alignment models both model-independently and within supersymmetric (SUSY) scenarios focusing on their CP violation tests at LHCII. Assuming that New Physics (NP) contributes to \( {K}^0-{\overline{K}}^0 \) and \( {D}^0-{\overline{D}}^0 \) mixings only through non-renormalizable operators involving SU(2) L quark-doublets, we derive model-independent correlations among CP violating observables of the two systems. Due to universality of CP violation in ΔF = 1 processes the bound on CP violation in Kaon mixing generically leads to an upper bound on the size of CP violation in D mixing. Interestingly, this bound is similar in magnitude to the current sensitivity reached by the LHCb experiment which is starting now to probe the natural predictions of alignment models. Within SUSY, we perform an exact analytical computation of the full set of contributions for the \( {D}^0-{\overline{D}}^0 \) mixing amplitude. We point out that chargino effects are comparable and often dominant with respect to gluino contributions making their inclusion in phenomenological analyses essential. As a byproduct, we clarify the limit of applicability of the commonly used mass insertion approximation in scenarios with quasi-degenerate and split squarks.
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References
L.J. Hall and L. Randall, Weak scale effective supersymmetry, Phys. Rev. Lett. 65 (1990) 2939 [INSPIRE].
G. D’Ambrosio, G.F. Giudice, G. Isidori and A. Strumia, Minimal flavor violation: an effective field theory approach, Nucl. Phys. B 645 (2002) 155 [hep-ph/0207036] [INSPIRE].
A.J. Buras, P. Gambino, M. Gorbahn, S. Jager and L. Silvestrini, Universal unitarity triangle and physics beyond the standard model, Phys. Lett. B 500 (2001) 161 [hep-ph/0007085] [INSPIRE].
C. Delaunay, O. Gedalia, S.J. Lee, G. Perez and E. Ponton, Ultra visible warped model from flavor triviality and improved naturalness, Phys. Rev. D 83 (2011) 115003 [arXiv:1007.0243] [INSPIRE].
M. Redi and A. Weiler, Flavor and CP invariant composite Higgs models, JHEP 11 (2011) 108 [arXiv:1106.6357] [INSPIRE].
A.L. Kagan, G. Perez, T. Volansky and J. Zupan, General minimal flavor violation, Phys. Rev. D 80 (2009) 076002 [arXiv:0903.1794] [INSPIRE].
M. Dine, R.G. Leigh and A. Kagan, Flavor symmetries and the problem of squark degeneracy, Phys. Rev. D 48 (1993) 4269 [hep-ph/9304299] [INSPIRE].
Y. Grossman, Y. Nir, J. Thaler, T. Volansky and J. Zupan, Probing minimal flavor violation at the LHC, Phys. Rev. D 76 (2007) 096006 [arXiv:0706.1845] [INSPIRE].
O. Gedalia and G. Perez, Flavor physics, arXiv:1005.3106 [INSPIRE].
Y. Nir and N. Seiberg, Should squarks be degenerate?, Phys. Lett. B 309 (1993) 337 [hep-ph/9304307] [INSPIRE].
M. Leurer, Y. Nir and N. Seiberg, Mass matrix models: the sequel, Nucl. Phys. B 420 (1994) 468 [hep-ph/9310320] [INSPIRE].
Y. Nir and G. Raz, Quark squark alignment revisited, Phys. Rev. D 66 (2002) 035007 [hep-ph/0206064] [INSPIRE].
I. Galon, G. Perez and Y. Shadmi, Non-degenerate squarks from flavored gauge mediation, JHEP 09 (2013) 117 [arXiv:1306.6631] [INSPIRE].
C. Delaunay, C. Grojean and G. Perez, Modified Higgs physics from composite light flavors, JHEP 09 (2013) 090 [arXiv:1303.5701] [INSPIRE].
L. Da Rold, C. Delaunay, C. Grojean and G. Perez, Up asymmetries from exhilarated composite flavor structures, JHEP 02 (2013) 149 [arXiv:1208.1499] [INSPIRE].
C. Delaunay, T. Flacke, J. Gonzalez-Fraile, S.J. Lee, G. Panico and G. Perez, Light non-degenerate composite partners at the LHC, JHEP 02 (2014) 055 [arXiv:1311.2072] [INSPIRE].
R. Mahbubani, M. Papucci, G. Perez, J.T. Ruderman and A. Weiler, Light nondegenerate squarks at the LHC, Phys. Rev. Lett. 110 (2013) 151804 [arXiv:1212.3328] [INSPIRE].
M. Blanke, G.F. Giudice, P. Paradisi, G. Perez and J. Zupan, Flavoured naturalness, JHEP 06 (2013) 022 [arXiv:1302.7232] [INSPIRE].
S. Bergmann, Y. Grossman, Z. Ligeti, Y. Nir and A.A. Petrov, Lessons from CLEO and FOCUS measurements of \( {D}^0-{\overline{D}}^0 \) mixing parameters, Phys. Lett. B 486 (2000) 418 [hep-ph/0005181] [INSPIRE].
O. Gedalia, Y. Grossman, Y. Nir and G. Perez, Lessons from recent measurements of \( {D}^0-{\overline{D}}^0 \) mixing, Phys. Rev. D 80 (2009) 055024 [arXiv:0906.1879] [INSPIRE].
Y. Grossman, Y. Nir and G. Perez, Testing new indirect CP-violation, Phys. Rev. Lett. 103 (2009) 071602 [arXiv:0904.0305] [INSPIRE].
I.I. Bigi, M. Blanke, A.J. Buras and S. Recksiegel, CP violation in \( {D}^0-{\overline{D}}^0 \) oscillations: general considerations and applications to the littlest Higgs model with T-parity, JHEP 07 (2009) 097 [arXiv:0904.1545] [INSPIRE].
A.L. Kagan and M.D. Sokoloff, On indirect CP-violation and implications for \( {D}^0-{\overline{D}}^0 \) and \( {B}_s-{\overline{B}}_s \) mixing, Phys. Rev. D 80 (2009) 076008 [arXiv:0907.3917] [INSPIRE].
A. Dighe, D. Ghosh and B.P. Kodrani, Nonuniversality of indirect CP asymmetries in D → ππ, KK decays, Phys. Rev. D 89 (2014) 096008 [arXiv:1306.3861] [INSPIRE].
Particle Data Group collaboration, K.A. Olive et al., Review of particle physics, Chin. Phys. C 38 (2014) 090001 [INSPIRE].
Heavy Flavor Averaging Group (HFAG) collaboration, Y. Amhis et al., Averages of b-hadron, c-hadron and τ-lepton properties as of summer 2014, arXiv:1412.7515 [INSPIRE].
Z. Ligeti, M. Papucci and G. Perez, Implications of the measurement of the \( {B}_s^0-{\overline{B}}_s^0 \) mass difference, Phys. Rev. Lett. 97 (2006) 101801 [hep-ph/0604112] [INSPIRE].
M. Ciuchini et al., \( D-\overline{D} \) mixing and new physics: general considerations and constraints on the MSSM, Phys. Lett. B 655 (2007) 162 [hep-ph/0703204] [INSPIRE].
UTfit collaboration, A.J. Bevan et al., The UTfit collaboration average of D meson mixing data: winter 2014, JHEP 03 (2014) 123 [arXiv:1402.1664] [INSPIRE].
UTfit collaboration, M. Bona et al., Model-independent constraints on ΔF = 2 operators and the scale of new physics, JHEP 03 (2008) 049 [arXiv:0707.0636] [INSPIRE].
K. Blum, Y. Grossman, Y. Nir and G. Perez, Combining \( {K}^0\hbox{-} {\overline{K}}^0 \) mixing and \( {D}^0\hbox{-} {\overline{D}}^0 \) mixing to constrain the flavor structure of new physics, Phys. Rev. Lett. 102 (2009) 211802 [arXiv:0903.2118] [INSPIRE].
O. Gedalia, J.F. Kamenik, Z. Ligeti and G. Perez, On the universality of CP-violation in ΔF = 1 processes, Phys. Lett. B 714 (2012) 55 [arXiv:1202.5038] [INSPIRE].
ETM collaboration, V. Bertone et al., Kaon mixing beyond the SM from N f = 2 tmQCD and model independent constraints from the UTA, JHEP 03 (2013) 089 [Erratum ibid. 07 (2013) 143] [arXiv:1207.1287] [INSPIRE].
N. Carrasco et al., \( {D}^0\hbox{-} {\overline{D}}^0 \) mixing in the standard model and beyond from N f = 2 twisted mass QCD, Phys. Rev. D 90 (2014) 014502 [arXiv:1403.7302] [INSPIRE].
G. Raz, The mass insertion approximation without squark degeneracy, Phys. Rev. D 66 (2002) 037701 [hep-ph/0205310] [INSPIRE].
F. Gabbiani, E. Gabrielli, A. Masiero and L. Silvestrini, A complete analysis of FCNC and CP constraints in general SUSY extensions of the standard model, Nucl. Phys. B 477 (1996) 321 [hep-ph/9604387] [INSPIRE].
M. Ciuchini, E. Franco, D. Guadagnoli, V. Lubicz, V. Porretti and L. Silvestrini, Next-to-leading order strong interaction corrections to the ΔF = 2 effective Hamiltonian in the MSSM, JHEP 09 (2006) 013 [hep-ph/0606197] [INSPIRE].
W. Altmannshofer, A.J. Buras and D. Guadagnoli, The MFV limit of the MSSM for low tan β: meson mixings revisited, JHEP 11 (2007) 065 [hep-ph/0703200] [INSPIRE].
A. Crivellin and M. Davidkov, Do squarks have to be degenerate? Constraining the mass splitting with kaon and D mixing, Phys. Rev. D 81 (2010) 095004 [arXiv:1002.2653] [INSPIRE].
W. Altmannshofer, A.J. Buras and P. Paradisi, A lower bound on hadronic EDMs from CP-violation in \( {D}^0\hbox{-} {\overline{D}}^0 \) mixing in SUSY alignment models, Phys. Lett. B 688 (2010) 202 [arXiv:1001.3835] [INSPIRE].
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Ghosh, D., Paradisi, P., Perez, G. et al. CP violation tests of alignment models at LHCII. J. High Energ. Phys. 2016, 178 (2016). https://doi.org/10.1007/JHEP02(2016)178
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DOI: https://doi.org/10.1007/JHEP02(2016)178