sixth school on non-accelerator astroparticle...

united nationseducational, scientific

and culturalorganization

international atomicenergy agency

theabdus salaminternational centre for theoretical physics

SMR/1319/7

Sixth School on Non-accelerator Astroparticle Physics

(9-11 July 2001)

Particles and Fields: The Standard Model and Beyond - III

Antonio Masiero(SISSA and INFN - Trieste)

strada costiera, 11 - 34014 trieste italy - tel. +39 040 2240111 fax +39 040 224163 - [email protected] - www.ictp.trieste.it

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Figure 2: Upper limits on mi/2 «nd rn0 obtained as functions o/tan/3 /or // > 0, assumingm&(m*>)sM = 4.25, mt = 175 GeV and J40 = 0. We sftow the upper limits on mi/2 obtainedby combining cosmology with the LEP Higgs 'signal' and the E821 lower limit on 8aM, andthe upper limits on TJIQ imposed by cosmology alone and in association with either a^ or theLEP Higgs 'signal'.

'funnel' moves to lower m\/2 as ra& increases, reducing the combined upper limit on rai/2

when m t ( m ^ = 4.5 GeV, and increasing the upper limit on m0. However, our overall

conclusions on the observability of the CMSSM at different colliders are unchanged. As

seen in panels (c) and (d), the main effects of varying m* are to move the m^ contours

and the allowed cosmological region 6. As a result, the lower bound on tan/9 is relaxed for

mt = 180 GeV. However, the effects on the bounds on raj/2 and mo in Fig. 2 are again

relatively minor. We do not display the effects of varying —2 x mi/2 < Ao < 2 x ra^: the

main changes are in the allowed cosmological region, whose sensitivity to input assumptions

were commented on previously [28], but the effects on the bounds on m ^ and m0 in Fig. 26Note also the black region in panel (c) of Fig. 3, which is where we find no consistent electroweak vacuum.

There are similar but smaller regions for larger mti that are not shown. The size of this forbidden region isquite sensitive to the treatment of mt, a topic we leave for another occasion.

tan ft = 30 , |i > 0800

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Figure 1: The (mi/ 2 ,m 0) p/anes for [i > 0 and Un/3 = (a) 10, (b) 30, (c) 50 and (d) 55,found assuming A$ — 0,m t = 175 GeV and m^nn,)^ — 4.25 GeV. The near-vertical (red)dot-dashed lines are the contours mn = 113,117 GeV, and the near-vertical (black) dashedline in panel (a) is the contour mx± = 104 GeV. The medium (dark green) shaded regionsare excluded by b —> 57. The light (turquoise) shaded areas are the cosmologically preferredregions with 0.1 < £lxh

2 < 0.3. In the dark (brick red) shaded regions, the LSP is the chargedf\y so this region is excluded. The regions allowed by the E821 measurement of a^ at the 2-crlevel are shaded (pink) and bounded by solid black lines, with dashed lines indicating the 1-aranges.

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