We study the charged Higgs effects on the decays of B − → τν τ and B → P (V ) ν with P = π + , D + and V = ρ + , D * + . We concentrate on the minimal supersymmetric standard model with nonholomorphic terms at a large tan β. To extract new physics contributions, we define several physical quantities related to the decay rate and angular distributions to reduce uncertainties from the QCD as well as the CKM elements. With the constraints from the recent measurement on the decay branching ratio of B − → τν τ , we find that the charged Higgs effects could be large and measurable.

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We show that choreographic three bodies {x(t), x(t + T /3), x(t − T /3)} of period T on the lemniscate, x(t) = (x +ŷ cn(t))sn(t)/(1 + cn 2 (t)) parametrized by the Jacobian elliptic functions sn and cn with modulus k 2 = (2 + √ 3)/4, conserve the centre of mass and the angular momentum, wherex andŷ are the orthogonal unit vectors defining the plane of the motion. They also conserve the moment of inertia, the kinetic energy, the sum of squares of the curvature, the product of distances and the sum of squares of distances between bodies. We find that they satisfy the equation of motion under the potential energy i