Gravi&no dark ma-er with constraints from Higgs mass and sneutrino decays

Adapted from 1974 drawings by K. Dobrowolski illustra=ng a popular ar=cle on par=cle physics by G. Białkowski +? Gravi&no dark ma-er with constraints from Higgs mass and sneutrino decays Krzysztof Turzyński (Faculty of Physics, University of Warsaw) with: L. Roszkowski, S. Trojanowski & K. Jedamzik, 1212.5587, JHEP 1303 (2013) 013; earlier with: L. Covi, Z. Lalak, M. Olechowski, S. Pokorski, J. Wells 2008-11, JHEP 0810 (2008) 016, 0912 (2009) 026, 1101 (2011) 033

WIMP O(100) GeV weakly interaczng massive parzcle - (the lightest) neutralino: neutral fermionic partner of a gauge/higgs boson in MSSM - very constraining in (already) constrained models EWIMP an extremely weakly interaczng massive parzcle - gravizno: spin 3/2 neutral fermion prese in supergravity embedding of supersymmetric theories

WIMP vs EWIMP dark maaer generazon of reheazng of the Universe baryon asymmetry 9 10 GeV inﬂazon LHC 103 GeV nucleosynthesis (BBN) 10 5 GeV Zme

WIMP vs EWIMP dark maaer generazon of reheazng of the Universe baryon asymmetry 9 10 GeV inﬂazon LHC 103 GeV nucleosynthesis (BBN) 10 7 GeV Zme

WIMP vs EWIMP dark maaer generazon of reheazng of the Universe baryon asymmetry 9 10 GeV WIMP inﬂazon LHC 103 GeV nucleosynthesis (BBN) 10 5 produczon DM+DMç è SM+SM DM+DMç è SM+SM of (MS)SM states (incl. WIMP DM) GeV Zme

WIMP vs EWIMP dark maaer generazon of reheazng of the Universe baryon asymmetry 9 10 GeV LHC 103 GeV gravi&no EWIMP WIMP inﬂazon nucleosynthesis (BBN) 10 5 GeV Zme produczon DM+DMç è SM+SM DM+DMç è SM+SM of (MS)SM states (incl. WIMP DM) produczon of (MS)SM states SM+SMè DM+DM (excl. EWIMP DM) SMè SM+DM SM+nucleiè!!! lightest susy parzcle (with R- parity) BBN bounds

WIMP vs EWIMP dark maaer generazon of reheazng of the Universe baryon asymmetry 9 10 GeV LHC 103 GeV inﬂazon 10 5 GeV Zme gravi&no EWIMP WIMP produczon DM+DMç è SM+SM DM+DMç è SM+SM of (MS)SM states (incl. WIMP DM) TP h2 r nucleosynthesis (BBN) produczon of (MS)SM states SM+SMè DM+DM (excl. EWIMP DM) thermal produczon TR 108 GeV O(1) 1 GeV m3/2 X r r Mr 103 GeV 2 Bolz, Brandenburger, Buchmueller 2001, Pradler, Steﬀen 2006, Rychkov, Strumia 2007 SMè SM+DM nonthermal produczon m 2 103 GeV 5 3/2! G + SM) = 5.9 10 sec (SM 100 GeV msm 3 NTP h2 = m3/2 2 SM h msm

WIMP vs EWIMP dark maaer generazon of reheazng baryon asymmetry of the Universe SMè SM+DM 9 10 GeV LHC 103 GeV nucleosynthesis 10 7 inﬂazon GeV Zme ± gravi&no EWIMP WIMP q, g, `,, produczon DM+DMç è SM+SM DM+DMç è SM+SM of (MS)SM states charged or neutral? (incl. WIMP DM) produczon of (MS)SM states (excl. WIMP DM) SM+SMè DM+DM SMè SM+DM nonthermal produczon

Ideal candidate for NLSP companion of EWIMP dark maaer?

Ideal candidate for NLSP companion of EWIMP dark maaer? n neutral (no bound-state enhancement of 6 Li production; mostly neutral decay products)

Ideal candidate for NLSP companion of EWIMP dark maaer? n neutral (no bound-state enhancement of 6 Li production; mostly neutral decay products) n colorless (little colored particles among decay products suppresses hadrodissociation)

Ideal candidate for NLSP companion of EWIMP dark maaer? n neutral (no bound-state enhancement of 6 Li production; mostly neutral decay products) n colorless (little colored particles among decay products suppresses hadrodissociation) n low freeze-out abundance (few energetic particles from decays)

Ideal candidate for NLSP companion of EWIMP dark maaer? n neutral (no bound-state enhancement of 6 Li production; mostly neutral decay products) n colorless (little colored particles among decay products suppresses hadrodissociation) n low freeze-out abundance (few energetic particles from decays) n realistic (found in known models of supersymmetry breaking)

Ideal candidate for NLSP companion of EWIMP dark maaer? n neutral (no bound-state enhancement of 6 Li production; mostly neutral decay products) n colorless (little colored particles among decay products suppresses hadrodissociation) n low freeze-out abundance (few energetic particles from decays) n realistic (found in known models of supersymmetry breaking) sneutrino!

Ideal candidate for NLSP companion of EWIMP dark maaer? S. Trojanowski, MSc Thesis, 2011 l l V Full computazon of sneutrino relic density CalculaZons within Non- Universal Higgs Model and General Gauge MediaZon G l q Full computazon a) of this and 3 similar diagrams. q n neutral (no bound-state enhancement of 6 Li production; mostly neutral decay products) n colorless (little colored particles among decay products suppresses hadrodissociation) n low freeze-out abundance (few energetic particles from decays) Covi, Olechowski, Pokorski, KT, Wells, 2011 n realistic (found in known models of supersymmetry breaking) Jeliński, Pawełczyk, KT, 2012 (F theory) sneutrino!

SUSY masses: NUHM LOSP: Lightest Supersymmetric Ordinary ParZcle, i.e. not gravizno DM gluino heavier than ~2TeV, squarks also heavy, LHC limits n low-energy constraints m 1ê2 @GeVD 1500 1400 1300 1200 1100 200 125 n é LOSP 300 ``` 400 600 126 500 B é LOSP 1000 900 Higgs mass HGeVL 124 LOSP mass HGeVL 123 122121 NUHM m Hu =0.5 TeV, m Hd =4 TeV A 0 =-3 TeV, tanb=10, m>0 t é LOSP 800 0 100 200 300 400 500 m 0 @GeVD

NLSP: BBN bounds Parameter scaling: h 2 / m 2 / m 2 3/2 /m5 DM h 2 / T R m 2 /m 3/2 h 2 /0.027 10 10 m n éy n é @GeVD 5. 3. 2. 1. 0.7 0.5 0.3 1 10 2 10 4 10 6 10 8 10 10 10 12 excl. DêH no n é 3. excl. LOSP 2. 6Liê 7 Li 1. mg é =2.5 GeV mg é =20 GeV m G é =250 GeV n é LOSP 0.7 0.5 0.3 0.2 0.2 1 10 2 10 4 10 6 10 8 10 10 10 12 t n é @sd 5.

NLSP: BBN bounds Parameter scaling: h 2 / m 2 / m 2 3/2 /m5 DM h 2 / T R m 2 /m 3/2 BBN safe, but too low reheazng temperature h 2 /0.027 10 10 m n éy n é @GeVD 5. 3. 2. 1. 0.7 0.5 0.3 1 10 2 10 4 10 6 10 8 10 10 10 12 excl. DêH no n é 3. excl. LOSP 2. 6Liê 7 Li 1. mg é =2.5 GeV mg é =20 GeV m G é =250 GeV n é LOSP 0.7 0.5 0.3 0.2 0.2 1 10 2 10 4 10 6 10 8 10 10 10 12 t n é @sd 5.

NLSP: BBN bounds Parameter scaling: h 2 / m 2 / m 2 3/2 /m5 DM h 2 / T R m 2 /m 3/2 BBN safe, but too low reheazng temperature gravizno/sneutrino approx. mass degeneracy, sneutrino lifezme phase- space suppressed, max. reheazng temp. h 2 /0.027 10 10 m n éy n é @GeVD 5. 3. 2. 1. 0.7 0.5 0.3 1 10 2 10 4 10 6 10 8 10 10 10 12 excl. DêH no n é 3. excl. LOSP 2. 6Liê 7 Li 1. mg é =2.5 GeV mg é =20 GeV m G é =250 GeV n é LOSP 0.7 0.5 0.3 0.2 0.2 1 10 2 10 4 10 6 10 8 10 10 10 12 t n é @sd 5.

NLSP: BBN bounds Parameter scaling: h 2 / m 2 / m 2 3/2 /m5 DM h 2 / T R m 2 /m 3/2 BBN safe, but too low reheazng temperature gravizno/sneutrino approx. mass degeneracy, sneutrino lifezme phase- space suppressed, max. reheazng temp. but late- Zme injeczon of warm dark ma-er (Jedamzik, Lemoine, Moultaka 05) h 2 /0.027 10 10 m n éy n é @GeVD 5. 3. 2. 1. 0.7 0.5 0.3 1 10 2 10 4 10 6 10 8 10 10 10 12 excl. DêH no n é 3. excl. LOSP 2. 6Liê 7 Li 1. mg é =2.5 GeV mg é =20 GeV m G é =250 GeV n é LOSP 0.7 0.5 0.3 0.2 0.2 1 10 2 10 4 10 6 10 8 10 10 10 12 t n é @sd 5.

but late- Zme injeczon of warm dark ma-er (Jedamzik, Lemoine, Moultaka 05) NLSP: BBN vs LSS bounds 1600 NUHM BBN limits m G ~ = 250 GeV 1600 NUHM m G ~ = 250 GeV 1500 excl. by 6 Li/ 7 Li 1500 excl. by LSS excl. by BBN 1400 1300 1200 1100 ~ LOSP m G ~ > m ~ ~ = 1 10 6 s ~ = 3 10 6 s ~ = 1 10 7 s ~ = 1 10 8 s ~ not LOSP allowed m 1/2 [GeV] 1400 1300 1200 1100 ~ LOSP ~ not LOSP m G ~ > m ~ T R = 4 10 8 GeV 5 10 8 GeV allowed 6 10 8 GeV 1000 900 unphys. 1000 900 unphys. 7 10 8 GeV 800 0 100 200 300 400 500 m 0 [GeV] 800 0 100 200 300 400 500 m 0 [GeV]

NLSP: BBN and 4- body phase space l l V G l q (A) q q a) pair carries 1/3 of available energy (B) Full computazon of this and 3 similar diagrams. q m 1/2 [GeV] 1600 1500 1400 1300 1200 1100 1000 900 NUHM D/H constraint m G ~ = 20 GeV ~! LOSP 600 GeV 300 GeV m! ~ = 200 GeV unphys. 500 GeV 400 GeV allowed simple E had A full E had B ~! not LOSP 800 0 100 200 300 400 500 m 0 [GeV]

NLSP: BBN, LSS and Higgs mass bounds NUHM max T R with constraints 600 500 1 10 7 GeV m h (max T R ) = 126 GeV excl. by BBN excl. by LSS 5 10 8 GeV 7 10 8 GeV sneutrino m ~ mass [GeV] [GeV] 400 300 125 GeV 122 GeV 120 GeV 3 10 8 GeV 9 10 8 GeV m~ gravizno not G > DM m~ max T R = 1 10 9 GeV 200 1 10 8 GeV 110 GeV 100 0 100 200 300 400 500 gravizno m~ G mass [GeV] [GeV]

sneutrino m ~ mass [GeV] [GeV] 600 500 400 300 200 NLSP: BBN, LSS and Higgs mass bounds NUHM max T R with constraints 1 10 7 GeV 1 10 8 GeV m h (max T R ) = 126 GeV excl. by BBN 125 GeV 122 GeV 120 GeV 3 10 8 GeV 110 GeV excl. by LSS 5 10 8 GeV Region I: Large Higgs boson mass, but low reheazng temperature` 9 10 8 GeV m~ gravizno not G > DM m~ 7 10 8 GeV max T R = 1 10 9 GeV 100 0 100 200 300 400 500 gravizno m~ G mass [GeV] [GeV]

sneutrino m ~ mass [GeV] [GeV] 600 500 400 300 200 NLSP: BBN, LSS and Higgs mass bounds NUHM max T R with constraints 1 10 7 GeV 1 10 8 GeV m h (max T R ) = 126 GeV excl. by BBN 125 GeV 122 GeV 120 GeV 3 10 8 GeV 110 GeV excl. by LSS 5 10 8 GeV Region I: Large Higgs boson mass, but low reheazng temperature` 9 10 8 GeV 7 10 8 GeV max T R = 1 10 9 GeV Region II: m~ gravizno not G > DM m~ Lower Higgs boson mass, but higher reheazng temperature` 100 0 100 200 300 400 500 gravizno m~ G mass [GeV] [GeV]

Conclusions GraviZno DM with sneutrino LOSP least constrained the gravizno problem: nucleosythesis: u short LOSP lifetimes u small gravitino masses u low reheating temperatures leptogenesis: u high reheating temperatures u large gravitino masses u long LOSP lifetimes but with the 126 GeV Higgs boson discovery, such a scenario looks disfavored.