The sensitivity of direct searches for heavy neutral leptons (HNLs) in accelerator-based experiments depends strongly on the particles properties. ![]() These searches motivate out-of-the-box optimization of experimental conditions and analysis techniques, which could lead to improvements in other physics searches. Three physics cases producing long-lived signatures at FCC-ee are highlighted and studied in this paper: heavy neutral leptons (HNLs), axion-like particles (ALPs), and exotic decays of the Higgs boson. The high statistics of Higgs bosons, W bosons and top quarks in very clean experimental conditions could offer additional opportunities at other collision energies. Direct searches for long-lived particles at FCC-ee could be particularly fertile in the high-luminosity Z run, where 5 × 1012 Z bosons are anticipated to be produced for the configuration with two interaction points. In addition to an essential and unique Higgs program, it offers powerful opportunities to discover direct or indirect evidence of physics beyond the Standard Model. ![]() It is designed to operate in a 100 km circular tunnel built at CERN, and will serve as the first step towards ≥100 TeV proton-proton collisions. The electron-positron stage of the Future Circular Collider, FCC-ee, is a frontier factory for Higgs, top, electroweak, and flavour physics. Based on the recently established connection between Tsallis thermostatistics and the quantum gravitational generalization of the uncertainty principle at Planck scale (GUP), we finally show that this bound is in agreement with the estimation of the GUP parameter predicted by many quantum gravity models. By demanding consistency with current observational bounds on baryogenesis, we constrain Tsallis δ parameter to be |δ−1|≃10−3. In turn, this leads to non-trivial modifications of the mass density and pressure content of the Universe, which provide a viable mechanism allowing for baryogenesis, even in the presence of the standard interaction between the Ricci scalar and baryon current. We show that corrections induced by non-extensivity affect the Hubble function evolution during the radiation-dominated epoch. In this work we use Tsallis Cosmology to study thermodynamic gravity and derive modified Friedmann equations. Non-extensive Tsallis thermostatistics is a widespread paradigm to describe large-scale gravitational systems. ![]() The region in which ΩB and ΩDM can be explained simultaneously almost coincides with the area inside the red line, see . They were chosen independently for the blue and red lines displayed here. The CP-violating phases that maximize the efficiency of baryogenesis and DM production are different. In the region within the red line, thermal production of N1 (resonant and non-resonant) is sufficient to explain all the observed DM. In the region between the blue lines, a CP-asymmetry that explains the observed BAU can be produced during the thermal production of N2,3. The regions above the green lines of different shades are excluded by the NuTeV , CHARM and CERN PS191 experiments, as indicated in the plot. In the region below the black dotted BBN line, the lifetime of N2,3 particles in the early universe is larger than 0.1 s, leading to the danger that their decay spoils the agreement between BBN calculations and the observed light element abundances. In the regions below the black dashed ‘seesaw’ line there exists no choice of νMSM parameters that is in accordance with experimental constraints on the active neutrino mixing matrix. Constraints on the sterile neutrino mass M and mixing U² = tr(θ†θ) in the νMSM as found in for normal (upper panel) and inverted (lower panel) hierarchy of active neutrino masses.
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