The expected trilepton signals from p¯ p → χ ± 1 χ 0 2 → (χ 0 1 ℓ ± ν)(χ 0 1 ℓ ′+ ℓ ′−) will be converted into hadronically quiet multilepton signals, if the two final χ 0 1 have leptonic R-parity-violating (RPV) decays χ 0 1 → ℓℓ ′ ν. We make illustrative calculations of the acceptance for these spectacular RPV signals, and point out that distinctive multilepton signals are possible even when ...

Let L(s,χ) be the Dirichlet L-function associated to a non-principal primitive character χ defined modq, where q≥3. We prove, under assumption of Generalised Riemann Hypothesis, validity estimates given by Lamzouri, Li, and Soundararajan on |L(1,χ)|. As corollary, we have that similar hold for class number imaginary quadratic field Q(−q), q≥5.

The multipartite entangled state n p χ χ χ ,..., , , 3 2 for the total momentum and relative coordinates of n particles is constructed. The corresponding quantum mechanical operator with respect to the classical transformation p p e 1 λ → , i i i e χ χ λ → , n i ,..., 2 = , in the state n p χ χ χ ,..., , , 3 2 is investigated.

Every Riemannian metric or Finsler on a manifold induces spray via its geodesics. In this paper, we discuss several expressions for the [Formula: see text]-curvature of spray. We show that sprays obtained by projective deformation using S-curvature always have vanishing text]-curvature. Then establish Beltrami Theorem with text].