Exclusive semileptonic rare decays $B \to K^{(*)} l^ + l^-$ in a SUSY SO(10) GUT

Abstract

In the SUSY SO(10) GUT context, we study the exclusive processes B → K ( * ) l + l − (l = µ, τ ). Using the Wilson coefficients of relevant operators including the new operators Q

Measurement of angular asymmetries in the decaysB→K*ℓ+ℓ−

“…Their amplitudes are expressed in terms of hadronic form factors and perturbatively-calculable effective Wilson coefficients, C and C eff 10 , which represent the electromagnetic penguin diagram, and the vector part and the axial-vector part of the linear combination of the Z penguin and W + W − box diagrams, respectively [1][2][3][4][5][6][7]. Non-SM physics may add new penguin and/or box diagrams, as well as possible contributions from new scalar, pseudoscalar, and/or tensor currents, which can contribute at the same order as the SM diagrams, modifying the effective Wilson coefficients from their SM expectations [8][9][10][11][12][13][14][15][16][17]. An example of a non-SM physics loop process is shown in Fig.…”

Comparative analysis of the semileptonic Λ b → Λℓ+ℓ− transition in SM and different SUSY scenarios using form factors from full QCD

“…Hence, we look for the effect of superparticles in this channel via calculating some related observables like differential branching ratio and lepton forward-backward asymmetry (FBA). Due to the specific features, there are different SUSY scenarios such as SUSY I, SUSY II, SUSY III and SUSY SO(10) [3][4][5][6].…”

B s → ϕl + l − decays in the topcolor-assisted technicolor model

“…In the TC2 model, after neglecting the doubly Cabibbo-suppressed contributions, the effective hamiltonian for the transition b → sl + l − has the following structure [14,15]:…”

“…C i and C Q i are the Wilson coefficients at the renormalization point µ = m W , O i 's (i = 1, · · · , 10) are the operators in the SM and the explicit expressions can be found in Ref. [16], and Q i 's come from the diagrams exchanging the neutral particles in TC2 and are [14,15] …”