Abstract
Uncovering the physics of electroweak symmetry breaking (EWSB) is the raison-d’etre of the LHC. Flavor questions, it would seem, are of minor relevance for this quest, apart from their role in constraining the possible structure of EWSB physics. In this short review article, we outline, using flavor-dependent slepton physics as an example, how flavor can affect both searches for supersymmetry, and future measurements aimed at understanding the nature of any new discoveries. If the production cross-sections for supersymmetry are relatively low, as indicated by the fact that it has not revealed itself yet in standard searches, the usual assumptions about the superpartner spectra need rethinking. Furthermore, one must consider more intricate searches, such as lepton-based searches, which could be susceptible to flavor effects. We start by reviewing the flavor structure of existing frameworks for mediating supersymmetry breaking, emphasizing flavor-dependent models proposed recently. We use the kinematic endpoints of invariant mass distributions to demonstrate how flavor dependence can impact both searches for supersymmetry and the Inverse Problem. We also discuss methods for measuring small-mass splittings and mixings at the LHC, both in models with a neutralino LSP and in models with a charged slepton (N)LSP.
Similar content being viewed by others
Notes
The term “flavor” is somewhat vague, and often redundant, since it can usually be replaced by “generation.” The matter fields of the SM carry both gauge indices and generation indices. The latter are often called flavor indices. Flavor-dependence simply means generation dependence, and flavor parameters refer to the generation-dependent parameters of the SM.
For a review of EDM bounds on CP-violating phases, see the article by B. Batell in this chapter.
To better understand these points, one should examine the structure of FV diagrams. See for example Eq. (20) of [17].
Some of these are actual models, with a well-defined mechanism for generating the soft terms and controlling their structure. Others are simply ansatze, which may have some concrete realization(s).
These models have additional features that contribute to the suppression of FV processes, including the absence of A terms and the Dirac nature of the gauginos (see items 5, 6 above).
In gravity-mediated models, without additional ingredients, the scalar mass matrices could be arbitrary, so that bounds on FV are not satisfied.
SU(3) L is further broken by the neutrino masses. Here, for simplicity, we will neglect the spurions associated with the neutrinos. This is justified if the seesaw scale is higher than the mediation scale. We can then take the charged lepton Yukawa to be a diagonal matrix without loss of generality.
As mentioned above, AMSB is not universal but MFV.
These small mixings are a generic result of the flavor symmetry.
Here and in the following we assume that the mass splitting is much bigger than the slepton decay width. The effect of non-zero width was studied in detail in [61].
References
G. D’Ambrosio, G. Giudice, G. Isidori, A. Strumia, Minimal flavor violation: An effective field theory approach. Nucl. Phys. B 645, 155–187 (2002). arXiv:hep-ph/0207036
J.L. Feng, K.T. Matchev, T. Moroi, Focus points and naturalness in supersymmetry. Phys. Rev. D 61, 075005 (2000). arXiv:hep-ph/9909334
G. Giudice, A. Romanino, Split supersymmetry. Nucl. Phys. B 699, 65–89 (2004). arXiv:hep-ph/0406088
N. Arkani-Hamed, S. Dimopoulos, Supersymmetric unification without low energy supersymmetry and signatures for fine-tuning at the LHC. J. High Energy Phys. 0506, 073 (2005). arXiv:hep-th/0405159
G. Isidori, Y. Nir, G. Perez, Flavor physics constraints for physics beyond the standard model. Annu. Rev. Nucl. Part. Sci. 60, 355 (2010). arXiv:1002.0900 [hep-ph]
A.G. Cohen, D. Kaplan, A. Nelson, The More minimal supersymmetric standard model. Phys. Lett. B 388, 588–598 (1996). arXiv:hep-ph/9607394
G. Dvali, A. Pomarol, Anomalous U(1) as a mediator of supersymmetry breaking. Phys. Rev. Lett. 77, 3728–3731 (1996). arXiv:hep-ph/9607383
J.L. Feng, C.G. Lester, Y. Nir, Y. Shadmi, The standard model and supersymmetric flavor puzzles at the large hadron collider. Phys. Rev. D 77, 076002 (2008). arXiv:0712.0674 [hep-ph]
Y. Nomura, D. Stolarski, Naturally flavorful supersymmetry at the LHC. Phys. Rev. D 78, 095011 (2008). arXiv:0808.1380 [hep-ph]
G.D. Kribs, E. Poppitz, N. Weiner, Flavor in supersymmetry with an extended R-symmetry. Phys. Rev. D 78, 055010 (2008). arXiv:0712.2039 [hep-ph]
H. Baer, S. Kraml, A. Lessa, S. Sekmen, X. Tata, Effective supersymmetry at the LHC. J. High Energy Phys. 1010, 018 (2010). arXiv:1007.3897 [hep-ph]
C. Brust, A. Katz, S. Lawrence, R. Sundrum, SUSY, the third generation and the LHC. arXiv:1110.6670 [hep-ph]
J.L. Feng, M.E. Peskin, H. Murayama, X.R. Tata, Testing supersymmetry at the next linear collider. Phys. Rev. D 52, 1418–1432 (1995). arXiv:hep-ph/9502260
N. Arkani-Hamed, G.L. Kane, J. Thaler, L.-T. Wang, Supersymmetry and the LHC inverse problem. J. High Energy Phys. 08, 070 (2006). arXiv:hep-ph/0512190
J.L. Feng, Y. Nir, Y. Shadmi, Neutrino parameters, Abelian flavor symmetries, and charged lepton flavor violation. Phys. Rev. D 61, 113005 (2000). arXiv:hep-ph/9911370
F. Gabbiani, E. Gabrielli, A. Masiero, L. Silvestrini, A complete analysis of FCNC and CP constraints in general SUSY extensions of the standard model. Nucl. Phys. B 477, 321–352 (1996). arXiv:hep-ph/9604387
J.L. Feng, K.T. Matchev, Y. Shadmi, Theoretical expectations for the muon’s electric dipole moment. Nucl. Phys. B 613, 366–381 (2001). arXiv:hep-ph/0107182
P.J. Fox, A.E. Nelson, N. Weiner, Dirac gaugino masses and supersoft supersymmetry breaking. J. High Energy Phys. 0208, 035 (2002). arXiv:hep-ph/0206096
R. Fok, G.D. Kribs, mu to e in R-symmetric supersymmetry. Phys. Rev. D 82, 035010 (2010). arXiv:1004.0556 [hep-ph]
M. Dine, A.E. Nelson, Y. Shirman, Low-energy dynamical supersymmetry breaking simplified. Phys. Rev. D 51, 1362–1370 (1995). arXiv:hep-ph/9408384
M. Dine, A.E. Nelson, Y. Nir, Y. Shirman, New tools for low-energy dynamical supersymmetry breaking. Phys. Rev. D 53, 2658–2669 (1996). arXiv:hep-ph/9507378
Z. Chacko, M.A. Luty, A.E. Nelson, E. Ponton, Gaugino mediated supersymmetry breaking. J. High Energy Phys. 0001, 003 (2000). arXiv:hep-ph/9911323
D. Kaplan, G.D. Kribs, M. Schmaltz, Supersymmetry breaking through transparent extra dimensions. Phys. Rev. D 62, 035010 (2000). arXiv:hep-ph/9911293
L. Randall, R. Sundrum, Out of this world supersymmetry breaking. Nucl. Phys. B 557, 79–118 (1999). arXiv:hep-th/9810155
Y. Nir, N. Seiberg, Should squarks be degenerate? Phys. Lett. B 309, 337–343 (1993). arXiv:hep-ph/9304307
C. Froggatt, H.B. Nielsen, Hierarchy of quark masses, cabibbo angles and CP violation. Nucl. Phys. B 147, 277 (1979)
A.E. Nelson, M.J. Strassler, Exact results for supersymmetric renormalization and the supersymmetric flavor problem. J. High Energy Phys. 0207, 021 (2002). arXiv:hep-ph/0104051
Y. Nomura, M. Papucci, D. Stolarski, Flavorful supersymmetry. Phys. Rev. D 77, 075006 (2008). arXiv:0712.2074 [hep-ph]
Y. Shadmi, P.Z. Szabo, Flavored gauge-mediation. arXiv:1103.0292 [hep-ph]
C. Gross, G. Hiller, Flavorful hybrid anomaly-gravity mediation. arXiv:1101.5352 [hep-ph]
N. Arkani-Hamed, M. Schmaltz, Hierarchies without symmetries from extra dimensions. Phys. Rev. D 61, 033005 (2000). arXiv:hep-ph/9903417
T. Gherghetta, A. Pomarol, Bulk fields and supersymmetry in a slice of AdS. Nucl. Phys. B 586, 141–162 (2000). arXiv:hep-ph/0003129
D.E. Kaplan, T.M. Tait, Supersymmetry breaking, fermion masses and a small extra dimension. J. High Energy Phys. 0006, 020 (2000). arXiv:hep-ph/0004200
D.E. Kaplan, T.M. Tait, New tools for fermion masses from extra dimensions. J. High Energy Phys. 0111, 051 (2001). arXiv:hep-ph/0110126
F. Brummer, S. Fichet, S. Kraml, The supersymmetric flavour problem in 5D GUTs and its consequences for LHC phenomenology. arXiv:1109.1226 [hep-ph]
T. Hurth, S. Kraml, Interplay of direct and indirect searches for new physics. arXiv:1110.3804 [hep-ph]
T. Hurth, W. Porod, Nondiagonal flavor observables in B and collider physics. Eur. Phys. J. C 33, S764–S766 (2004). arXiv:hep-ph/0311075
G.F. Giudice, B. Gripaios, R. Sundrum, Flavourful production at hadron colliders. J. High Energy Phys. 1108, 055 (2011). arXiv:1105.3161 [hep-ph]
J. Eckel, W. Shepherd, S. Su, Slepton discovery in electroweak cascade decay. arXiv:1111.2615 [hep-ph]
G. Aad et al. (ATLAS Collaboration), Searches for supersymmetry with the ATLAS detector using final states with two leptons and missing transverse momentum in sqrts=7 TeV proton-proton collisions. arXiv:1110.6189 [hep-ex]
CMS Collaboration, Search for new physics in events with opposite-sign dileptons and missing transverse energy. CMS-PAS-SUS-11-011
I. Hinchliffe, F. Paige, M. Shapiro, J. Soderqvist, W. Yao, Precision SUSY measurements at CERN LHC. Phys. Rev. D 55, 5520–5540 (1997). arXiv:hep-ph/9610544
H. Bachacou, I. Hinchliffe, F.E. Paige, Measurements of masses in SUGRA models at CERN LHC. Phys. Rev. D 62, 015009 (2000). arXiv:hep-ph/9907518
B. Gjelsten, D.J. Miller, P. Osland, Measurement of SUSY masses via cascade decays for SPS 1a. J. High Energy Phys. 0412, 003 (2004). arXiv:hep-ph/0410303
C.G. Lester, M.A. Parker, M.J. White, Determining SUSY model parameters and masses at the LHC using cross-sections, kinematic edges and other observables. J. High Energy Phys. 0601, 080 (2006). arXiv:hep-ph/0508143
C. Lester, M.A. Parker, M.J. White, Three body kinematic endpoints in SUSY models with non-universal Higgs masses. J. High Energy Phys. 0710, 051 (2007). arXiv:hep-ph/0609298
A.J. Barr, B. Gripaios, C.G. Lester, Weighing wimps with kinks at colliders: invisible particle mass measurements from endpoints. J. High Energy Phys. 0802, 014 (2008). arXiv:0711.4008 [hep-ph]
C. Autermann, B. Mura, C. Sander, H. Schettler, P. Schleper, Determination of supersymmetric masses using kinematic fits at the LHC. arXiv:0911.2607 [hep-ph]
B. Allanach, J. Conlon, C. Lester, Measuring smuon-selectron mass splitting at the CERN LHC and patterns of supersymmetry breaking. Phys. Rev. D 77, 076006 (2008). arXiv:0801.3666 [hep-ph]
I. Galon, Y. Shadmi, Kinematic edges with flavor splitting and mixing. arXiv:1108.2220 [hep-ph]
T. Appelquist, H.-C. Cheng, B.A. Dobrescu, Bounds on universal extra dimensions. Phys. Rev. D 64, 035002 (2001). arXiv:hep-ph/0012100
H.-C. Cheng, K.T. Matchev, M. Schmaltz, Bosonic supersymmetry? Getting fooled at the CERN LHC. Phys. Rev. D 66, 056006 (2002). arXiv:hep-ph/0205314
J.M. Smillie, B.R. Webber, Distinguishing spins in supersymmetric and universal extra dimension models at the large hadron collider. J. High Energy Phys. 10, 069 (2005). arXiv:hep-ph/0507170
C. Athanasiou, C.G. Lester, J.M. Smillie, B.R. Webber, Distinguishing spins in decay chains at the large hadron collider. J. High Energy Phys. 0608, 055 (2006). arXiv:hep-ph/0605286
L.-T. Wang, I. Yavin, A review of spin determination at the LHC. Int. J. Mod. Phys. A 23, 4647–4668 (2008). arXiv:0802.2726 [hep-ph]
N. Arkani-Hamed, H.-C. Cheng, J.L. Feng, L.J. Hall, Probing lepton flavor violation at future colliders. Phys. Rev. Lett. 77, 1937–1940 (1996). arXiv:hep-ph/9603431
N. Arkani-Hamed, J.L. Feng, L.J. Hall, H.-C. Cheng, CP violation from slepton oscillations at the LHC and NLC. Nucl. Phys. B 505, 3–39 (1997). arXiv:hep-ph/9704205
K. Agashe, M. Graesser, Signals of supersymmetric lepton flavor violation at the LHC. Phys. Rev. D 61, 075008 (2000). arXiv:hep-ph/9904422
J. Hisano, R. Kitano, M.M. Nojiri, Slepton oscillation at large hadron collider. Phys. Rev. D 65, 116002 (2002). arXiv:hep-ph/0202129
A. Bartl, K. Hidaka, K. Hohenwarter-Sodek, T. Kernreiter, W. Majerotto et al., Test of lepton flavor violation at LHC. Eur. Phys. J. C 46, 783–789 (2006). arXiv:hep-ph/0510074
Y. Grossman, M. Martone, D.J. Robinson, Kinematic edges with flavor oscillation and non-zero widths. J. High Energy Phys. 1110, 127 (2011). arXiv:1108.5381 [hep-ph]
A.J. Buras, L. Calibbi, P. Paradisi, Slepton mass-splittings as a signal of LFV at the LHC. J. High Energy Phys. 1006, 042 (2010). arXiv:0912.1309 [hep-ph]
J.L. Feng, T. Moroi, Tevatron signatures of longlived charged sleptons in gauge mediated supersymmetry breaking models. Phys. Rev. D 58, 035001 (1998). arXiv:hep-ph/9712499
J.L. Feng, A. Rajaraman, F. Takayama, Superweakly interacting massive particles. Phys. Rev. Lett. 91, 011302 (2003). arXiv:hep-ph/0302215
A. Nisati, S. Petrarca, G. Salvini, On the possible detection of massive stable exotic particles at the LHC. Mod. Phys. Lett. A 12, 2213–2222 (1997). arXiv:hep-ph/9707376
A. Connolly (CDF Collaboration), Search for longlived charged massive particles at CDF. arXiv:hep-ex/9904010
S. Tarem, S. Bressler, H. Nomoto, A. Di Mattia, Trigger and reconstruction for heavy long-lived charged particles with the ATLAS detector. Eur. Phys. J. C 62, 281–292 (2009)
G. Aad et al. (ATLAS Collaboration), Search for heavy long-lived charged particles with the ATLAS detector in pp collisions at \(\mathrm{sqrt(s)} = 7~\mathrm{TeV}\). Phys. Lett. B 703, 428–446 (2011). arXiv:1106.4495 [hep-ex]
V. Khachatryan et al. (CMS Collaboration), Search for heavy stable charged particles in pp collisions at \(\mathrm{sqrt(s)}=7~\mathrm{TeV}\). J. High Energy Phys. 1103, 024 (2011). arXiv:1101.1645 [hep-ex]
J. Chen, T. Adams, Searching for high speed long-lived charged massive particles at the LHC. Eur. Phys. J. C 67, 335–342 (2010). arXiv:0909.3157 [hep-ph]
I. Galon, Y. Shadmi, S. Tarboush, S. Tarem, When a muon is not a muon: detecting fast long-lived charged particles from cascade decays using a mass scan. arXiv:1112.4486 [hep-ph]
R. Kitano, A clean slepton mixing signal at the LHC. J. High Energy Phys. 03, 023 (2008). arXiv:0801.3486 [hep-ph]
S. Kaneko, J. Sato, T. Shimomura, O. Vives, M. Yamanaka, Measuring lepton flavour violation at LHC with long-lived slepton in the coannihilation region. Phys. Rev. D 78, 116013 (2008). arXiv:0811.0703 [hep-ph]
J.L. Feng, S.T. French, C.G. Lester, Y. Nir, Y. Shadmi, The shifted peak: resolving nearly degenerate particles at the LHC. Phys. Rev. D 80, 114004 (2009). arXiv:0906.4215 [hep-ph]
J.L. Feng, S.T. French, I. Galon, C.G. Lester, Y. Nir et al., Measuring slepton masses and mixings at the LHC. J. High Energy Phys. 1001, 047 (2010). arXiv:0910.1618 [hep-ph]
T. Ito, R. Kitano, T. Moroi, Measurement of the superparticle mass spectrum in the long-lived stau scenario at the LHC. J. High Energy Phys. 1004, 017 (2010). arXiv:0910.5853 [hep-ph]
S. Ambrosanio, G.D. Kribs, S.P. Martin, Three body decays of selectrons and smuons in low-energy supersymmetry breaking models. Nucl. Phys. B 516, 55–69 (1998). arXiv:hep-ph/9710217
J.L. Feng, I. Galon, D. Sanford, Y. Shadmi, F. Yu, Three-body decays of sleptons with general flavor violation and left-right mixing. Phys. Rev. D 79, 116009 (2009). arXiv:0904.1416 [hep-ph]
Acknowledgements
Research supported in part by the Israel Science Foundation (ISF) under grant No. 1367/11, by the United States-Israel Binational Science Foundation (BSF) under grant No. 2010221.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Shadmi, Y. Flavor and LHC searches for new physics. Eur. Phys. J. C 72, 2104 (2012). https://doi.org/10.1140/epjc/s10052-012-2104-0
Received:
Published:
DOI: https://doi.org/10.1140/epjc/s10052-012-2104-0