Perspectives on Future Supersymmetry at Colliders

Perspectives on Future Supersymmetry at Colliders Sunghoon Jung Korea Institute for Advanced Study (KIAS) The Future of High Energy Physics @ HKUST IAS Based on collaborations with B.Batell, E.J.Chun, S.Gori, L.T.Wang, J.D.Wells 1312.1802, 1404.2691, 1407.1218, 1410.6287, 1502.xxxx

What my talk is about 1. Future collider prospects 2. Future SUSY, new features 3. Future standard searches of SUSY 3

1. Future collider Standard search prospects of a 100 TeV pp collider Is it good enough? How well can we do? How well do we need to do? Is it simply a scaled-up version of previous studies? I will address them in the Future SUSY framework focusing on the Wino/Higgsino thermal DM. 4 Sunghoon Jung, KIAS

My talk is also about 1. Future collider prospects 2. Future SUSY, new features 3. Future standard searches of SUSY 5

2. Future SUSY We focus on lightest superparticles: gauginos and higgsinos of a few 100-1000 GeV. Important mass scales: ~1 TeV Higgsino DM, ~3 TeV Wino DM. In general, gauginos and higgsinos are likely wellseparated in mass and highly pure states. 6 Sunghoon Jung, KIAS

Generic new features Pure gauginos and higgsinos. => Dirac Higgsino vs. Majorana gaugino. Gaugino code becomes a primary observable. Well-separated in mass. => Decays between them governed by Goldstone Equivalence Theorem (GET). New simplifying relations. Several disparate mass scales. => Large logarithms and its resummation needed. 7 Sunghoon Jung, KIAS

Gaugino code K.Choi, H.P.Nilles Gaugino mass ratio is a primary observable/variable of the Future SUSY, encoding SUSY breaking mediation info. Gauginos are least model-dependent fields msugra pattern : AMSB pattern : mirage pattern : M a / a 4 M a / b a a 4 m 3/2 M a / a 4 b a + 1 0.1 M1:M2:M3=(1:2:6) M1:M2:M3=(3:1:8) m 3/2 8 Sunghoon Jung, KIAS

Well-motivated J.D.Wells N.Arkani-Hamed, S.Dimopoulo G.Giudice, A.Romanino A.Arvanitaki, et. al. N.Arkani-Hamed, et. al. Y.Kahn, et. al. W.Altmannshofer, et. al. D.McKeen, et. al. M.Ibe, et. al. Consistent with data: null LHC, flavor, CP, and mh. Pheno attractive: gauge coupling unification and DM. A half of universe is generically split SUSY-like. ~1 TeV Higgsino DM or ~3 TeV Wino DM candidates. => Testing the Future SUSY up to these mass scales is both a useful goal and an important mission. 9 Sunghoon Jung, KIAS

My talk is lastly about 1. Future collider prospects 2. Future SUSY, new features 3. Future standard searches of SUSY 10

3. Future new searches Not yet standard, but very useful SUSY searches. New limits on light stops from stoponium - filling inevitable gaps of current collider searches - fairly model independent (at least, different) Displaced decays - show up quite often. (will not be covered today) 11 Sunghoon Jung, KIAS

1. Gluino pair Wino thermal DM, Gaugino code, Resummation 12

Searches of guino pairs - Traditional Meff is good enough. T.Cohen et. al. 13 Sunghoon Jung, KIAS

Searches of guino pairs - Only the gluino mass matters when well split. SJ, J.D.Wells 1312.1802 14 Sunghoon Jung, KIAS

Wino DM (AMSB) SJ, J.D.Wells 1312.1802 - m(gluino) / m(wino) ~ 8 (largest hierarchy among Gaugino code) 15 Sunghoon Jung, KIAS

Wino DM (AMSB) SJ, J.D.Wells 1312.1802 - m(gluino) / m(wino) ~ 8 (largest hierarchy among Gaugino code) - Full coverage of 3.1 TeV Wino DM in AMSB is still limited at 100 TeV. - Good to keep in mind 200 TeV. 16 Sunghoon Jung, KIAS

Reach in gaugino code - If gaugino code is such a useful observable and crucial for discovery AMSB msugra SJ, J.D.Wells 1312.1802 17 Sunghoon Jung, KIAS

Reach in gaugino code - If gaugino code is such a useful observable and crucial for discovery AMSB msugra - No definitive coverage of Higgsino DM here. SJ, J.D.Wells 1312.1802 This is a useful way to present future SUSY search results. 18 Sunghoon Jung, KIAS

Resumming the split hierarchy - Large logs inevitable from heavier squarks. AMSB One-loop split (w/ tan beta dep.) No split (no large log) SJ, J.D.Wells 1312.1802 4 TeV Higgsino 19 Sunghoon Jung, KIAS

Resumming the split hierarchy - Large logs inevitable from heavier squarks. AMSB One-loop split (w/ tan beta dep.) No split (no large log) - NLO correction is large. More dedicated SJ, J.D.Wells 1312.1802 4 TeV Higgsino 20 effective theory needed. Sunghoon Jung, KIAS

2. EWino NLSP pair Higgsino thermal DM, Higgsino relations from GET 21

EWino NLSP searches - EWinos decay always via gauge/higgs bosons. - They are inherently related by Goldstone Eq Thm. - Multilepton + MET are representative signatures. 22 Sunghoon Jung, KIAS

Wino NLSP - Bino LSP @ 100 TeV S.Gori, SJ, L.T.Wang, J.D.Wells 1410.6287 tan beta = 50, mu = +5 TeV > M2 > M1> 0, M2<0 23 Sunghoon Jung, KIAS

Blue: WZ -> 3lep Red: Wh -> 3lep S.Gori, SJ, L.T.Wang, J.D.Wells 1410.6287 24 Sunghoon Jung, KIAS

The slide from ATLAS speaker Frank Wurthwein s talk 25 Sunghoon Jung, KIAS

Higgsinos are special SJ, 1404.2691 Always, BR(NLSP -> LSP + Z) = BR(NLSP -> LSP + h) - If Higgsinos are the LSP or the NLSP, parameter dependences essentially vanish! S.Gori, SJ, L.T.Wang, J.D.Wells 1410.6287 26 Sunghoon Jung, KIAS

Higgsinos are special SJ, 1404.2691 Always, BR(NLSP -> LSP + Z) = BR(NLSP -> LSP + h) - If Higgsinos are the LSP or the NLSP, parameter dependences essentially vanish! - Just one plot is all. - May serve as an alternative true simplified model! (BR(Z)=BR(h)) 27 Sunghoon Jung, KIAS

Higgsino observables Higgsinos have two nearly degenerate, indistinguishable neutralinos, each of which has different BR(h) and BR(Z). SJ, 1404.2691 Adding all, what we observe is the same # of h and Z. 28 Sunghoon Jung, KIAS

NLSP BR Z vs. Higgs It was easiest to derive the relation using GET. SJ, 1404.2691 Sunghoon Jung, KIAS

NLSP BR Z vs. Higgs SJ, 1404.2691 It was easiest to derive the relation using GET. For Higgsino LSPs or NLSPs: Sunghoon Jung, KIAS

Generally true The relation is valid with Higgsino + many non-mssm neutralinos. SJ, 1404.2691 If the electroweakino-higgsinos are LSP and/or NLSP If the axino-higgsinos are LSP and/or NLSP If the gravitino-higgsinos are LSP and/or NLSP Sunghoon Jung, KIAS

Runge Basis (Higgs basis) SJ, 1404.2691 H u = v u + H 0 u + ia 0 u H c d = v d + H 0 d ia 0 d gauge eigenbasis Runge rotation H vev = v +(Hus 0 + Hdc 0 )+ig 0 Runge basis H? =0+(Huc 0 Hds 0 )+ia 0 Only one doublet contains a whole vev and Goldstone. 32 Sunghoon Jung, KIAS

Runge Basis + alignment SJ, 1404.2691 H u = v u + H 0 u + ia 0 u H c d = v d + H 0 d ia 0 d gauge eigenbasis Runge rotation H vev = v +(Hus 0 + Hdc 0 )+ig 0 Runge basis H? =0+(Huc 0 Hds 0 )+ia 0 alignment limit H vev = v + h 0 + ig 0 Mass eigenbasis H? =0+H 0 + ia 0 33 Sunghoon Jung, KIAS

+ finally Goldstone Eq Thm SJ, 1404.2691 H u = v u + H 0 u + ia 0 u H c d = v d + H 0 d ia 0 d gauge eigenbasis Runge rotation H vev = v +(Hus 0 + Hdc 0 )+ig 0 Runge basis H? =0+(Huc 0 Hds 0 )+ia 0 alignment limit H vev = v + h 0 + iz h and Z are in the H? =0+H 0 + ia 0 same doublet. 34 Sunghoon Jung, KIAS

Back to Higgsino DM - Higgsino LSPs discovery prospects maybe highest in this channel benefit from large Wino productions. - 1 TeV Higgsino DM is perhaps excludable, but not discoverable. S.Gori, SJ, L.T.Wang, J.D.Wells 1410.6287 35 Sunghoon Jung, KIAS

not optimal for Wino DM 3.1 TeV Wino LSP is way up here. - EWino NLSP pair is not optimal for Wino LSP S.Gori, SJ, L.T.Wang, J.D.Wells 1410.6287 36 Sunghoon Jung, KIAS

3. New limits on light stops from stoponium 37

Current stop limits several blind spots (final states are soft) no lighter charginos 38 Sunghoon Jung, KIAS

Current stop limits several blind spots (final states are soft) no lighter charginos 39 a.k.a the stealth stop (stops look like tops) Sunghoon Jung, KIAS

Stoponium can potentially cover B.Batell, SJ (preliminary) 40 Sunghoon Jung, KIAS

Stoponium It s a bound state of a stop and an anti-stop bonded by QCD Coulomb potential. It is spin-0, CP-even, color singlet (same as Higgs). Once formed, it can pair annihilate into gg, diphoton, WW, ZZ, hh, LSP LSP similar to Higgs but different BR. 41 Sunghoon Jung, KIAS

Stoponium It s a bound state of a stop and an anti-stop bonded by QCD Coulomb potential. It is spin-0, CP-even, color singlet (same as Higgs). Once formed, they can pair annihilate into gg, diphoton, WW, ZZ, hh, LSP LSP similar to Higgs but different BR. 42 Sunghoon Jung, KIAS

Stoponium discovery Any heavy Higgs resonance searches in diphoton, WW, ZZ, hh can also search for stoponium annihilation. When stop mixing is small, BR(gg)~100%, BR(diphoton)~0.35%. => Diphoton search is best. B.Batell, SJ (preliminary) 43 Sunghoon Jung, KIAS

Stoponium formation conditions When stop and anti-stop are produced with a small relative velocity: only near stop pair threshold. When the stop decay is slowly enough. Binding energy ~ 1 GeV: almost always true! (NB: toponium has not been discovered)) B.Batell, SJ (preliminary) 44 Sunghoon Jung, KIAS

Stoponium annihilation conditions Annhiliation is what makes it look like a resonance. Individual stop decay should be slower than stoponium annihilation decay. Crucial condition for stoponium pheno. B.Batell, SJ (preliminary) 45 Sunghoon Jung, KIAS

Stoponium can potentially cover B.Batell, SJ (preliminary) 46 Sunghoon Jung, KIAS

Stoponium can potentially cover B.Batell, SJ (preliminary) The stealth stop can also be probed! 47 Sunghoon Jung, KIAS

Current recasted limits B.Batell, SJ (preliminary) excluded The stealth stop can also be probed soon. 48 Sunghoon Jung, KIAS

Summary of prospects Gluino pairs @ 100 TeV does not definitely cover Wino or Higgsino DM scenarios. 1 TeV Higgsino DM can perhaps be excludable (but not discoverable) via multilepton NLSP Wino productions @ 100 TeV. Stoponium can provide important complementary limits on light stops, and its search should seriously be carried out. 49 Sunghoon Jung, KIAS

Summary of future SUSY Search results can be usefully presented for ino mass ratios. The resummation of scale hierarchy can disturb gaugino code; better calc with eff thy. Goldstone Eq Thm is generically applied and light Higgsino pheno especially simplified. BR(Z)=BR(h) always. 50 Sunghoon Jung, KIAS

Thank you for your attention. 51