Supersymmetric effects on isospin symmetry breaking and directCPviolation inB→ργ

Abstract

We argue that one can search for physics beyond the standard model through measurements of the isospin-violating quantity, and direct CP violation in the partial decay rates of B ± → ρ ± γ. We illustrate this by working out theoretical profiles of the charge-conjugate averaged ratio ∆ ≡ 1 2 (∆ +0 + ∆ −0 ) and the CP asymmetry A CP (B ± → ρ ± γ) in the standard model and in some variants of the minimal supersymmetric standard model. We find that chargino contributions in the large tan β region may modify the magnitudes and flip the signs of ∆ and A CP (B ± → ρ ± γ) compared to their standard-model values, providing an unmistakeable signature of supersymmetry.

Isospin symmetry breaking and direct CP violation in B → ϱγ within and beyond the standard model

“…We should emphasize that, by definition, the angle α and F 1,2 are correlated with each other and one should keep track the uncertainties in the α − F 1,2 correlation. Details can be found in the original work [1].…”

“…As pointed long time ago, in the charged decays B ± → ρ ± γ, the W − annihilation [6] and also long-distance (LD) effects [7] could be significant and contribute ∼ 20% to the total rate. Actually these contributions induce violation of isospin symme- * Based on the work in [1].…”

Time-dependentCPasymmetry inB0→ρ0γdecay to probe the origin ofCP

“…6 −0.5 ± 0.1) × 10 −6 , has been reported at the Moriond conference [5]. Implications of B → ργ and B → ωγ decays in the SM and the MSSM have been studied in the literature [6,7,8]. The charged B ± → ρ ± γ decay mode provides clean signal and has a branching ratio twice larger than that of the neutral mode, by the isospin symmetry.…”

“…The first measurement on the branching ratio of b → dγ process, Br(B → ρ/ωγ) = (1.8 +0. 6 −0.5 ± 0.1) × 10 −6 , has been reported at the Moriond conference [5]. Implications of B → ργ and B → ωγ decays in the SM and the MSSM have been studied in the literature [6,7,8].…”

Branching ratio andCPasymmetry forB→1P11γdecays

“…On the other hand, the expected branching ratio for b → dγ is suppressed by O 10 −2 with respect to the b → sγ, because of the Cabbibo-Kobayashi-Masukawa quark mixing matrix factor (CKM). The world average for b → d penguin decays are given as follow [3] B B 0 → ρ 0 γ = (0.38 ± 0.18) × 10 −6 (1) Theoretically, B → (ρ,ω) γ are widely studied both within and beyond the SM [4,5]. Now after the first measurment of BELLE for the decay B → K 1 γ, where K 1 are the higher resonaces of kaon [6], these higher states become a subject of topical interest for the theoreticians.…”