Chiral D-terms, SUSY Higgs Andrey Katz Motivation: Higgs and SUSY A SUSY Higgs with Chiral D-terms Gauge extensions of MSSM Chiral Higgses Very large tan β Andrey Katz limit Conclusions work in progress with N. Craig Harvard University GGI workshop, Firenze, November 13, 2012 Andrey Katz (Harvard) Chiral D-terms, SUSY Higgs November, 13 1 / 24
Chiral D-terms, Outline SUSY Higgs Andrey Katz Motivation: Higgs and SUSY Motivation: Higgs and SUSY Gauge extensions of MSSM Chiral Higgses Gauge extensions of MSSM Very large tan β limit Conclusions Chiral Higgses Very large tan β limit Conclusions Andrey Katz (Harvard) Chiral D-terms, SUSY Higgs November, 13 2 / 24
Motivation: Higgs and SUSY Chiral D-terms, SUSY: summary of problems SUSY Higgs Andrey Katz 1. We have no experimental evidence for NP, including Motivation: Higgs superpartners. We already know that there are no and SUSY gluinos below 1 TeV scale, and there are no squarks Gauge extensions of MSSM below TeV scale (with exceptions of Natural SUSY, Chiral Higgses RPV and some others) Very large tan β 2. MSSM predicts at the tree level m h < m Z | cos(2 β ) | . If limit we believe that SUSY is a solution for naturalness, Conclusions radiative corrections cannot be too large. In this sense m h ≈ 125 GeV is annoying 3. We do not see evidence for significant deviations from the SM in higgs BRs (at least in very early data). In general SUSY in tan β ≫ 1 limit (preferred if we would like to saturate the bound on the Higgs mass) is predicted to enhance BR( h → b ¯ b ). Some solutions to problem (2) prefer even bigger deviation from the SM. Andrey Katz (Harvard) Chiral D-terms, SUSY Higgs November, 13 3 / 24
Motivation: Higgs and SUSY Chiral D-terms, Higgs Mass in SUSY - a Problem of Quartic SUSY Higgs Andrey Katz Motivation: Higgs and SUSY The SM does not have a priori any prediction about the higgs Gauge extensions mass. The quartic in the higgs potential is a free parameter, the of MSSM mass is given by Chiral Higgses Very large tan β m 2 ∼ λ v 2 limit Conclusions and depending on λ the higgs mass can be almost acquire any value. MSSM predicts the Higgs quartic λ ∼ g 2 , because the only source of the of the quartic interactions are D-terms. Quartic is predicted ⇒ mass is predicted. The bound is m h < m Z | cos(2 β ) | Andrey Katz (Harvard) Chiral D-terms, SUSY Higgs November, 13 4 / 24
Motivation: Higgs and SUSY Chiral D-terms, Radiative Corrections to the Higgs Mass SUSY Higgs Andrey Katz Motivation: Higgs Gauge couplings are the Higgs quartic in exact SUSY. Since SUSY and SUSY is broken we have radiative corrections to the Higgs quartic, ∝ Gauge extensions of MSSM SUSY-breaking: Chiral Higgses � m 2 h ∼ y 2 Very large tan β � ˜ ∆ m 2 4 π 2 m 2 t t limit t ln + . . . m 2 t Conclusions Assume tan β ≫ 1 (saturate the tree level bound). If we just rely on 1-loop expression, we need m ˜ t ∼ 5 . . . 10 TeV to get m h ≈ 125 GeV. Two loops make it even worse. We can get some help from trilinears to reduce the stops scale slightly, but it comes for a price of introducing additional fine-tuning. Can we call this SUSY Natural? What about stabilization of the EW scale? Andrey Katz (Harvard) Chiral D-terms, SUSY Higgs November, 13 5 / 24
Motivation: Higgs and SUSY Chiral D-terms, SUSY and Higgs BRs SUSY Higgs Andrey Katz Motivation: Higgs To saturate the tree level mass limit we need and SUSY cos 2 β → 1 ⇒ tan β → ∞ Gauge extensions of MSSM Chiral Higgses Integrating out H d Blum & D’Agnolo, 2012 Very large tan β limit In this limit we notice that the SM higgs is almost entirely Conclusions H u . We can integrate H d (which is at the zeroth order the heavy higgs ) out of the theory, systematically expanding in powers of 1 / tan β The results at the leading order: ◮ hVV and ht ¯ t couplings are unaffected ◮ hb ¯ b and h ττ couplings always grow ⇒ h → VV and h → γγ BRs are suppressed. Andrey Katz (Harvard) Chiral D-terms, SUSY Higgs November, 13 6 / 24
Motivation: Higgs and SUSY Chiral D-terms, Higgs BR (Early) Measurements SUSY Higgs Andrey Katz Motivation: Higgs ◮ h → γγ : the central value is higher than in the SM, the and SUSY deviation is not statistically significant, but Gauge extensions of MSSM BR exp < BR SM is disfavored Chiral Higgses ◮ no significant deviations in h → VV , agree pretty well Very large tan β limit with the SM Conclusions ◮ h → τ + τ − was fluctuating downward at CMS, enhancement in this channel looks unlikely Recall: SUSY wants enhanced h → τ + τ − and suppressed h → VV , γγ . Does this mean that we have early hints that the data does not favor SUSY? Andrey Katz (Harvard) Chiral D-terms, SUSY Higgs November, 13 7 / 24
Motivation: Higgs and SUSY Chiral D-terms, Direct Searches for Superpartners SUSY Higgs Andrey Katz Current CMS and ATLAS bounds on SUSY partners are stringent. The generic bound on gluinos is around 1.1 TeV and the generic Motivation: Higgs and SUSY bound on squarks is 1 TeV. If we put squarks and gluinos on the Gauge extensions same scale, we get the bound around 1.5 TeV. If this is the stop of MSSM scale, SUSY already suffers from some degree of fine tuning. Chiral Higgses Should we already give up on naturalness? Very large tan β limit Conclusions Andrey Katz (Harvard) Chiral D-terms, SUSY Higgs November, 13 8 / 24
Motivation: Higgs and SUSY Chiral D-terms, Direct Searches for Superpartners SUSY Higgs Andrey Katz Current CMS and ATLAS bounds on SUSY partners are stringent. The generic bound on gluinos is around 1.1 TeV and the generic Motivation: Higgs and SUSY bound on squarks is 1 TeV. If we put squarks and gluinos on the Gauge extensions same scale, we get the bound around 1.5 TeV. If this is the stop of MSSM scale, SUSY already suffers from some degree of fine tuning. Chiral Higgses Should we already give up on naturalness? Very large tan β Not all the superpartners are responsible for naturalness, one only limit need stops, sbottoms and Higgsinos to be ∼ 400 GeV, other Conclusions particles can be at TeV scale or higher. ~ ∼ ~ ~ ~ → χ 0 95% exclusion limits for b b ; m( g , q )> > m( b ) LSP mass [GeV] 700 α CMS preliminary T 7 TeV, 4.98 fb -1 razor+b 600 V G e 5 0 1 ) = 500 δ m ( 400 300 200 100 300 350 400 450 500 550 600 650 700 sbottom mass [GeV] It is still to early too give up on “natural SUSY”, but the bounds become stronger Andrey Katz (Harvard) Chiral D-terms, SUSY Higgs November, 13 8 / 24
Gauge extensions of MSSM Chiral D-terms, Gauge Extensions and the Higgs Mass SUSY Higgs Andrey Katz Batra, Delgado, D.E. Kaplan, Tait, ’03; Maloney, Pierce, Wacker ’04 Motivation: Higgs link fields and SUSY G G 2 Gauge extensions 1 of MSSM Chiral Higgses H u H d VEVs of the link Very large tan β fields limit Conclusions G d ~ G SM Scale of the breaking to the diagonal: ∼ 10 TeV. If this scale is much higher, the D-terms will decouple. If this scale is closer to TeV, the mixing between Z and Z ′ is not safe (EWPM). Higgs potential: MSSM D-terms + the D-terms of heavy W ′ , Z ′ . We have a new source of quartic ⇒ we can get a tree-level enhancement to the higgs mass. Andrey Katz (Harvard) Chiral D-terms, SUSY Higgs November, 13 9 / 24
Gauge extensions of MSSM Chiral D-terms, Gauge extensions, natural SUSY and flavor SUSY Higgs Andrey Katz Craig, Green, AK ’11 We did not specify until now what are the charges of matter fields Motivation: Higgs and SUSY under G 1 × G 2 . The most obvious possibility is to charge them all Gauge extensions under G 1 , but in this case the spectrum will be (mostly) flavor of MSSM universal and we should push it to the TeV scale. Chiral Higgses More interesting possibility: try to explain the flavor puzzle Very large tan β limit Conclusions link fields messengers G G SUSY 2 1 H u H d light generations 3rd generation fields Andrey Katz (Harvard) Chiral D-terms, SUSY Higgs November, 13 10 / 24
Gauge extensions of MSSM Chiral D-terms, Gauge extensions, natural SUSY and flavor SUSY Higgs Andrey Katz Craig, Green, AK ’11 We did not specify until now what are the charges of matter fields Motivation: Higgs and SUSY under G 1 × G 2 . The most obvious possibility is to charge them all Gauge extensions under G 1 , but in this case the spectrum will be (mostly) flavor of MSSM universal and we should push it to the TeV scale. Chiral Higgses More interesting possibility: try to explain the flavor puzzle Very large tan β limit Conclusions link fields messengers G G SUSY 2 1 H u H d light generations 3rd generation fields ◮ We naturally explain why Y t ≫ Y c , u ◮ 3rd generation superpartners feel gaugino mediation ⇒ light superpartners. 1st and 2nd generation superpartners feel gauge mediation ⇒ heavy superpartners Andrey Katz (Harvard) Chiral D-terms, SUSY Higgs November, 13 10 / 24
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