Bs→DsKas a probe ofCPTviolation

Abstract

We discuss some possible signals of CPT violation in the Bs system that may be probed at the Large Hadron Collider (LHC). We show how one can construct combinations of observables coming from tagged and untagged decay rates of Bs → D ± s K ∓ that can unambiguously differentiate between CPT violating and CPT conserving new physics (NP) models contributing in B 0 s −B 0 s mixing. We choose this particular mode as an illustrative example for two reasons: (i) In the Standard Model, there is only one decay amplitude, so it is easier to untangle any new physics; (ii) Bs being a neutral meson, it is possible to unambiguously identify any sign of CPT violation that occurs only in mixing but not in decay. We define an observable which is useful to extract the CPT violating parameter in Bs decay, and also discuss how far the results are applicable even if CPT violation is present in both mixing and decay.

Nematic and gas-liquid transitions for sticky rods on square and cubic lattices

“…In Sec. III we revisit the case of 2D, where, for the case of purely hard-core rods, the demixing transition has been studied extensively [28][29][30][31][32][33]. Upon adding attractions, the demixing transition competes with the liquid-vapor transition, yet the full phase diagram in the temperature-density plane had not been resolved [34] up to now.…”

CPTviolation and triple-product correlations inBdecays

“…[11]. CPTV in the B systems, and its possible signatures, including differentiation from CPT conserving NP models, have been already investigated by several authors [12][13][14][15]. It was shown that the lifetime difference of the two mass eigenstates, or the direct CP asymmetries and semileptonic observables, may be affected by such new physics.…”

“…going from the signal to the underlying model) in the B sector is worthwhile, it is outside the ambit of this paper. We would like to refer the reader to [15] for ways to differentiate between CPT conserving and CPT violating NP under certain conditions; such a differentiation is not always possible.…”

Multiple Exclusion Statistics

“…At temperature T = 0 (absolute scale), the distribution takes the step-like form n = 1/g for U o < µ and n = 0 for U o > µ, as expected. Simulations of k-mers lattice gases were carried out in the Grand Canonical Ensemble through the efficient algorithm introduced by Kundu et al [37,39] to overcome the sampling slowdown at high density due to the jamming effects. The temperature, chemical potential βµ and system's size are held fixed and the number of particles on the lattice is allowed to fluctuate through nonlocal changes, i.e, insertion and deletion of k-mers at a time (in contrast to the standard Metropolis algorithm).…”

“…The detailed discussion is found in the original work Refs. [37][38][39]. The algorithm has proved to be ergodic, it satisfies the Detailed Balance Principle and equilibrium is reached after typically 10 7 MC steps.…”