Probing the reheating temperature at colliders and with primordial nucleosynthesis

Abstract

Considering gravitino dark matter scenarios with a long-lived charged slepton, we show that collider measurements of the slepton mass and its lifetime can probe not only the gravitino mass but also the post-inflationary reheating temperature TR. In a model independent way, we derive upper limits on TR and discuss them in light of the constraints from the primordial catalysis of 6 Li through bound-state effects. In the collider-friendly region of slepton masses below 1 TeV, the obtained conservative estimate of the maximum reheating temperature is about TR = 3×10 9 GeV for the limiting case of a small gluino-slepton mass splitting and about TR = 10 8 GeV for the case that is typical for universal soft supersymmetry breaking parameters at the scale of grand unification. We find that a determination of the gluino-slepton mass ratio at the Large Hadron Collider will test the possibility of TR > 10 9 GeV and thereby the viability of thermal leptogenesis with hierarchical heavy right-handed Majorana neutrinos.PACS numbers: 98.80. Cq, 95.35.+d, 12.60.Jv, 95.30.Cq

Constraints on supersymmetric models from catalytic primordial nucleosynthesis of beryllium

“…Our task is facilitated by the 9 Be constraint being very close to the one from 6 Li, which makes those implications similar to the ones of the 6 Li constraint [12,17,18,19,20,22,26,27,28,33]. In this respect, Sect.…”

“…Thereby, the relic gravitino density Ω e G receives an additional contribution Ω TP e G that depends basically linearly on the reheating temperature T R after inflation [38,41,42,43]. In turn, the dark matter constraint, Ω TP e G + Ω NTP e G ≤ Ω DM , can be translated into a conservative upper limit [33] (4.27) which depends on the ratio of the gluino mass m e g and the l 1 NLSP mass, c ≡ m e g /m e l 1 > 1, at the weak scale. In Fig.…”

“…However, only in the last two years after the appearance of Ref. [12], a lot of work has been done [15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33] in order to refine various aspects of catalysis and to understand the implications of CBBN in the framework of specific models. The significant interest in CBBN is also fuelled by its direct connection with collider physics.…”

“…For the gravitino LSP scenarios in which X − is identified with a negatively charged slepton NLSP, X − = l − 1 , the constraints imposed by primordial 6 Li catalysis have already been analyzed in detail in a number of publications [12,17,18,19,20,21,22,26,27,28,32,33]. Assuming a standard cosmological history that leads to a typical thermal l 1 relic abundance, the bound from 6 Li catalysis translates into an upper limit on the l 1 lifetime of τ e l 1 = τ X − < ∼ 5 × 10 3 s [12,20,22,26].…”

Thermal relic abundances of long-lived staus

“…Indeed, to decide on the cosmological viability of a SUSY model, one has to confront the associated Y e τ values with those constraints. In particular, for gravitino LSP scenarios with unbroken R-parity, restrictive cosmological constraints and implications thereof have been derived [48,39,40,41,57,42,32,93,36] often under the assumption that Y e τ can be described by (1.1). However, while (1.1) is quite reliable for τ 1 ≃ τ R [37,38,40,52], we have shown in the previous sections that Y e τ (for a given m e τ 1 ) can be about than two orders of magnitude smaller than (1.1).…”