# Phenomenology of a long-lived LSP with R-parity violation

## Abstract

We present the leading experimental constraints on supersymmetric models with R-parity violation (RPV) and a long-lived lightest superpartner (LSP). We consider both the well-motivated dynamical RPV scenario as well as the conventional holomorphic RPV operators. Guided by naturalness, we study the cases of stop, gluino, and higgsino LSPs with several possible leading decay channels in each case. The CMS displaced dijet and the ATLAS multitrack displaced vertex searches have been fully recast, with all cuts and vertex reconstruction algorithms applied. Heavy charged stable particle searches by CMS are also applied. In addition, we consider representative bounds for prompt LSP decays that are directly applicable. Our main results are exclusion plots in the *m*_{LSP} − *τ*_{LSP} plane for the various scenarios. We find that the natural parameter space (\( {m}_{\tilde{t}}<800 \) GeV, \( {m}_{\tilde{g}}<1500 \) GeV, \( {m}_{\tilde{H}}<800 \) GeV) is excluded for a long-lived LSP (*τ*_{LSP} ≳ 1 mm).

## Keywords

Supersymmetry Phenomenology## Notes

### **Open Access**

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## References

- [1]ATLAS collaboration,
*Search for squarks and gluinos with the ATLAS detector in final states with jets and missing transverse momentum using*\( \sqrt{s}=8 \)*TeV proton-proton collision data*,*JHEP***09**(2014) 176 [arXiv:1405.7875] [INSPIRE]. - [2]CMS collaboration,
*Search for supersymmetry in pp collisions at*\( \sqrt{s}=8 \)*TeV in events with a single lepton, large jet multiplicity and multiple b jets*,*Phys. Lett.***B 733**(2014) 328 [arXiv:1311.4937] [INSPIRE]. - [3]ATLAS collaboration,
*Search for direct top-squark pair production in final states with two leptons in pp collisions at*\( \sqrt{s}=8 \)*TeV with the ATLAS detector*,*JHEP***06**(2014) 124 [arXiv:1403.4853] [INSPIRE]. - [4]ATLAS collaboration,
*Measurement of spin correlation in top-antitop quark events and search for top squark pair production in pp collisions at*\( \sqrt{s}=8 \)*TeV using the ATLAS detector*,*Phys. Rev. Lett.***114**(2015) 142001 [arXiv:1412.4742] [INSPIRE]. - [5]ATLAS collaboration,
*Search for strong production of supersymmetric particles in final states with missing transverse momentum and at least three b-jets at*\( \sqrt{s}=8 \)*TeV proton-proton collisions with the ATLAS detector*,*JHEP***10**(2014) 024 [arXiv:1407.0600] [INSPIRE]. - [6]C.S. Aulakh and R.N. Mohapatra,
*Neutrino as the supersymmetric partner of the Majoron*,*Phys. Lett.***B 119**(1982) 136 [INSPIRE].ADSCrossRefGoogle Scholar - [7]L.J. Hall and M. Suzuki,
*Explicit R-parity breaking in supersymmetric models*,*Nucl. Phys.***B 231**(1984) 419 [INSPIRE].ADSCrossRefGoogle Scholar - [8]G.G. Ross and J.W.F. Valle,
*Supersymmetric models without R-parity*,*Phys. Lett.***B 151**(1985) 375 [INSPIRE].ADSCrossRefGoogle Scholar - [9]V.D. Barger, G.F. Giudice and T. Han,
*Some new aspects of supersymmetry R-parity violating interactions*,*Phys. Rev.***D 40**(1989) 2987 [INSPIRE].ADSGoogle Scholar - [10]H.K. Dreiner,
*An introduction to explicit R-parity violation*,*Adv. Ser. Direct. High Energy Phys.***21**(2010) 565 [hep-ph/9707435] [INSPIRE].ADSCrossRefGoogle Scholar - [11]G. Bhattacharyya,
*A brief review of R-parity violating couplings*, in*Beyond the desert*1997, Tegernsee Germany (1997), pg. 194 [hep-ph/9709395] [INSPIRE]. - [12]R. Barbier et al.,
*R-parity violating supersymmetry*,*Phys. Rept.***420**(2005) 1 [hep-ph/0406039] [INSPIRE].ADSCrossRefGoogle Scholar - [13]E. Nikolidakis and C. Smith,
*Minimal flavor violation, seesaw and R-parity*,*Phys. Rev.***D 77**(2008) 015021 [arXiv:0710.3129] [INSPIRE].ADSGoogle Scholar - [14]C. Csáki, Y. Grossman and B. Heidenreich,
*MFV SUSY: a natural theory for R-parity violation*,*Phys. Rev.***D 85**(2012) 095009 [arXiv:1111.1239] [INSPIRE].ADSGoogle Scholar - [15]G. Krnjaic and D. Stolarski,
*Gauging the way to MFV*,*JHEP***04**(2013) 064 [arXiv:1212.4860] [INSPIRE].ADSCrossRefGoogle Scholar - [16]R. Franceschini and R.N. Mohapatra,
*New patterns of natural R-parity violation with supersymmetric gauged flavor*,*JHEP***04**(2013) 098 [arXiv:1301.3637] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar - [17]C. Csáki and B. Heidenreich,
*A complete model for R-parity violation*,*Phys. Rev.***D 88**(2013) 055023 [arXiv:1302.0004] [INSPIRE].ADSGoogle Scholar - [18]G. Krnjaic and Y. Tsai,
*Soft RPV through the baryon portal*,*JHEP***03**(2014) 104 [arXiv:1304.7004] [INSPIRE].ADSCrossRefGoogle Scholar - [19]C. Brust, A. Katz and R. Sundrum,
*SUSY stops at a bump*,*JHEP***08**(2012) 059 [arXiv:1206.2353] [INSPIRE].ADSCrossRefGoogle Scholar - [20]P.W. Graham, D.E. Kaplan, S. Rajendran and P. Saraswat,
*Displaced supersymmetry*,*JHEP***07**(2012) 149 [arXiv:1204.6038] [INSPIRE].ADSCrossRefGoogle Scholar - [21]P. Fileviez Perez and S. Spinner,
*The minimal theory for R-parity violation at the LHC*,*JHEP***04**(2012) 118 [arXiv:1201.5923] [INSPIRE].ADSCrossRefGoogle Scholar - [22]Z. Han, A. Katz, M. Son and B. Tweedie,
*Boosting searches for natural supersymmetry with R-parity violation via gluino cascades*,*Phys. Rev.***D 87**(2013) 075003 [arXiv:1211.4025] [INSPIRE].ADSGoogle Scholar - [23]J. Berger, C. Csáki, Y. Grossman and B. Heidenreich,
*Mesino oscillation in MFV SUSY*,*Eur. Phys. J.***C 73**(2013) 2408 [arXiv:1209.4645] [INSPIRE].ADSCrossRefGoogle Scholar - [24]R. Franceschini and R. Torre,
*RPV stops bump off the background*,*Eur. Phys. J.***C 73**(2013) 2422 [arXiv:1212.3622] [INSPIRE].ADSCrossRefGoogle Scholar - [25]J.T. Ruderman, T.R. Slatyer and N. Weiner,
*A collective breaking of R-parity*,*JHEP***09**(2013) 094 [arXiv:1207.5787] [INSPIRE].ADSMathSciNetCrossRefzbMATHGoogle Scholar - [26]C. Csáki, E. Kuflik and T. Volansky,
*Dynamical R-parity violation*,*Phys. Rev. Lett.***112**(2014) 131801 [arXiv:1309.5957] [INSPIRE].ADSCrossRefGoogle Scholar - [27]C. Csáki, E. Kuflik, O. Slone and T. Volansky,
*Models of dynamical R-parity violation*,*JHEP***06**(2015) 045 [arXiv:1502.03096] [INSPIRE].ADSCrossRefGoogle Scholar - [28]ATLAS collaboration,
*Search for massive, long-lived particles using multitrack displaced vertices or displaced lepton pairs in pp collisions at*\( \sqrt{s}=8 \)*TeV with the ATLAS detector*, arXiv:1504.05162 [INSPIRE]. - [29]CMS collaboration,
*Search for long-lived neutral particles decaying to quark-antiquark pairs in proton-proton collisions at*\( \sqrt{s}=8 \)*TeV*,*Phys. Rev.***D 91**(2015) 012007 [arXiv:1411.6530] [INSPIRE]. - [30]Y. Cui and B. Shuve,
*Probing baryogenesis with displaced vertices at the LHC*,*JHEP***02**(2015) 049 [arXiv:1409.6729] [INSPIRE].ADSCrossRefGoogle Scholar - [31]P. Schwaller, D. Stolarski and A. Weiler,
*Emerging jets*,*JHEP***05**(2015) 059 [arXiv:1502.05409] [INSPIRE].ADSCrossRefGoogle Scholar - [32]Z. Liu and B. Tweedie,
*The fate of long-lived superparticles with hadronic decays after LHC run*1,*JHEP***06**(2015) 042 [arXiv:1503.05923] [INSPIRE].ADSCrossRefGoogle Scholar - [33]M. Papucci, J.T. Ruderman and A. Weiler,
*Natural SUSY endures*,*JHEP***09**(2012) 035 [arXiv:1110.6926] [INSPIRE].ADSCrossRefGoogle Scholar - [34]ATLAS collaboration,
*Search for long-lived, heavy particles in final states with a muon and a multi-track displaced vertex in proton-proton collisions at*\( \sqrt{s}=8 \)*TeV with the ATLAS detector*, ATLAS-CONF-2013-092, CERN, Geneva Switzerland (2013) [ATLAS-COM-CONF-2013-108]. - [35]CMS collaboration,
*Searches for long-lived charged particles in pp collisions at*\( \sqrt{s}=7 \)*and*8*TeV*,*JHEP***07**(2013) 122 [arXiv:1305.0491] [INSPIRE]. - [36]CMS collaboration,
*Search for pair-produced resonances decaying to jet pairs in proton-proton collisions at*\( \sqrt{s}=8 \)*TeV*,*Phys. Lett.***B 747**(2015) 98 [arXiv:1412.7706] [INSPIRE]. - [37]CDF collaboration, D. Acosta et al.,
*Search for first-generation scalar leptoquarks in*\( p\overline{p} \)*collisions at*\( \sqrt{s}=1.96 \)*TeV*,*Phys. Rev.***D 72**(2005) 051107 [hep-ex/0506074] [INSPIRE]. - [38]D0 collaboration, V.M. Abazov et al.,
*Search for pair production of first-generation leptoquarks in*\( p\overline{p} \)*collisions at*\( \sqrt{s}=1.96 \)*TeV*,*Phys. Lett.***B 681**(2009) 224 [arXiv:0907.1048] [INSPIRE]. - [39]CMS collaboration,
*Search for pair-production of first generation scalar leptoquarks in pp collisions at*\( \sqrt{s}=8 \)*TeV*, CMS-PAS-EXO-12-041, CERN, Geneva Switzerland (2012). - [40]CDF collaboration, A. Abulencia et al.,
*Search for second-generation scalar leptoquarks in*\( p\overline{p} \)*collisions at*\( \sqrt{s}=1.96 \)*TeV.*,*Phys. Rev.***D 73**(2006) 051102 [hep-ex/0512055] [INSPIRE]. - [41]D0 collaboration, V.M. Abazov et al.,
*Search for pair production of second generation scalar leptoquarks*,*Phys. Lett.***B 671**(2009) 224 [arXiv:0808.4023] [INSPIRE]. - [42]CMS collaboration,
*Search for pair-production of second generation leptoquarks in*8*TeV proton-proton collisions.*, CMS-PAS-EXO-12-042, CERN, Geneva Switzerland (2012). - [43]CDF collaboration, T. Aaltonen et al.,
*Search for third generation vector leptoquarks in*\( p\overline{p} \)*collisions at*\( \sqrt{s}=1.96 \)*TeV*,*Phys. Rev.***D 77**(2008) 091105 [arXiv:0706.2832] [INSPIRE]. - [44]D0 collaboration, V.M. Abazov et al.,
*Search for scalar bottom quarks and third-generation leptoquarks in*\( p\overline{p} \)*collisions at*\( \sqrt{s}=1.96 \)*TeV*,*Phys. Lett.***B 693**(2010) 95 [arXiv:1005.2222] [INSPIRE]. - [45]CMS collaboration,
*Search for pair production of third-generation scalar leptoquarks and top squarks in proton-proton collisions at*\( \sqrt{s}=8 \)*TeV*,*Phys. Lett.***B 739**(2014) 229 [arXiv:1408.0806] [INSPIRE]. - [46]ATLAS collaboration,
*Search for scalar charm quark pair production in pp collisions at*\( \sqrt{s}=8 \)*TeV with the ATLAS detector*,*Phys. Rev. Lett.***114**(2015) 161801 [arXiv:1501.01325] [INSPIRE]. - [47]ATLAS collaboration,
*Search for supersymmetry at*\( \sqrt{s}=8 \)*TeV in final states with jets and two same-sign leptons or three leptons with the ATLAS detector*,*JHEP***06**(2014) 035 [arXiv:1404.2500] [INSPIRE]. - [48]C. Borschensky et al.,
*LHC SUSY cross section working group webpage*, https://twiki.cern.ch/twiki/bin/view/LHCPhysics/SUSYCrossSections, (2015). - [49]M. Krämer et al.,
*Supersymmetry production cross sections in pp collisions at*\( \sqrt{s}=7 \)*TeV*, arXiv:1206.2892 [INSPIRE]. - [50]B. Fuks, M. Klasen, D.R. Lamprea and M. Rothering,
*Gaugino production in proton-proton collisions at a center-of-mass energy of*8*TeV*,*JHEP***10**(2012) 081 [arXiv:1207.2159] [INSPIRE].ADSCrossRefGoogle Scholar - [51]B. Fuks, M. Klasen, D.R. Lamprea and M. Rothering,
*Precision predictions for electroweak superpartner production at hadron colliders with Resummino*,*Eur. Phys. J.***C 73**(2013) 2480 [arXiv:1304.0790] [INSPIRE].ADSCrossRefGoogle Scholar - [52]ATLAS collaboration,
*Search for top squark pair production in final states with one isolated lepton, jets and missing transverse momentum in*\( \sqrt{s}=8 \)*TeV pp collisions with the ATLAS detector*,*JHEP***11**(2014) 118 [arXiv:1407.0583] [INSPIRE]. - [53]CMS collaboration,
*Search for top-squark pair production in the single-lepton final state in pp collisions at*\( \sqrt{s}=8 \)*TeV*,*Eur. Phys. J.***C 73**(2013) 2677 [arXiv:1308.1586] [INSPIRE]. - [54]J. Alwall, M. Herquet, F. Maltoni, O. Mattelaer and T. Stelzer,
*MadGraph*5*: going beyond*,*JHEP***06**(2011) 128 [arXiv:1106.0522] [INSPIRE].ADSCrossRefzbMATHGoogle Scholar - [55]A. Alloul, N.D. Christensen, C. Degrande, C. Duhr and B. Fuks,
*FeynRules*2*.*0 —*a complete toolbox for tree-level phenomenology*,*Comput. Phys. Commun.***185**(2014) 2250 [arXiv:1310.1921] [INSPIRE].ADSCrossRefGoogle Scholar - [56]T. Sjöstrand et al.,
*An introduction to PYTHIA*8*.*2,*Comput. Phys. Commun.***191**(2015) 159 [arXiv:1410.3012] [INSPIRE].ADSCrossRefzbMATHGoogle Scholar - [57]DELPHES 3 collaboration, J. de Favereau et al.,
*DELPHES*3*, a modular framework for fast simulation of a generic collider experiment*,*JHEP***02**(2014) 057 [arXiv:1307.6346] [INSPIRE]. - [58]R. Brun and F. Rademakers,
*ROOT: an object oriented data analysis framework*,*Nucl. Instrum. Meth.***A 389**(1997) 81 [INSPIRE].ADSCrossRefGoogle Scholar - [59]M. Cacciari, G.P. Salam and G. Soyez,
*FastJet user manual*,*Eur. Phys. J.***C 72**(2012) 1896 [arXiv:1111.6097] [INSPIRE].ADSCrossRefGoogle Scholar - [60]ATLAS collaboration,
*Search for long-lived, heavy particles in final states with a muon and a multi-track displaced vertex in proton-proton collisions at*\( \sqrt{s}=8 \)*TeV with the ATLAS detector*, ATLAS-CONF-2013-092, CERN, Geneva Switzerland (2013). - [61]D. Giordano and G. Sguazzoni,
*CMS reconstruction improvements for the tracking in large pile-up events*, presented at the 21^{st}*International Conference on Computing in High Energy and Nuclear Physics*, Japan (2015) [*J. Phys. Conf. Ser.***396**(2012) 022044] [INSPIRE]. - [62]H. Liu,
*SUSY searches with displaced vertices in CMS*, presented at*Workshop on Searches for Supersymmetry at the LHC*, Lawrence Berkeley National Laboratory, U.S.A. (2011).Google Scholar - [63]CMS collaboration,
*Description and performance of track and primary-vertex reconstruction with the CMS tracker*, 2014*JINST***9**P10009 [arXiv:1405.6569] [INSPIRE]. - [64]CMS collaboration,
*Reinterpreting the results of the search for long-lived charged particles in the pMSSM and other BSM scenarios*, CMS-PAS-EXO-13-006, CERN, Geneva Switzerland (2013). - [65]ATLAS collaboration,
*Search for pair-produced third-generation squarks decaying via charm quarks or in compressed supersymmetric scenarios in pp collisions at*\( \sqrt{s}=8 \)*TeV with the ATLAS detector*,*Phys. Rev.***D 90**(2014) 052008 [arXiv:1407.0608] [INSPIRE].