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- W1563131206 abstract "We study the rare B decay $B to K^* ell^+ ell^-$ using soft-collinear effective theory (SCET). At leading power in $1/m_b$, a factorization formula is obtained valid to all orders in $alpha_s$. For phenomenological application, we calculate the decay amplitude including order $alpha_s$ corrections, and resum the logarithms by evolving the matching coefficients from the hard scale ${cal O}(m_b)$ down to the scale $sqrt{m_b Lambda_h}$. The branching ratio for $B to K^* ell^+ ell^-$ is uncertain due to the imprecise knowledge of the soft form factors $zeta_perp (q^2)$ and $zeta_parallel (q^2)$. Constraining the soft form factor $zeta_perp (q^2=0)$ from data on $B to K^* gamma$ yields $zeta_perp (q^2=0)=0.32 pm 0.02$. Using this input, together with the light-cone sum rules to determine the $q^2$dependence of $zeta_perp (q^2)$ and the other soft form factor $zeta_parallel (q^2)$, we eastimate the partially integrated branching ratio in the range $1~{GeV}^2 le q^2 le 7~{GeV}^2$ to be $(2.92^{+0.67}_{-0.61}) times 10^{-7}$. We discuss how to reduce the form factor related uncertainty by combining data on $B to rho (to pi pi) ell nu_ell$ and $Bto K^* (to Kpi) ell^+ell^-$. The forward-backward asymmetry is less sensitive to the input parameters. In particular, for the zero-point of the forward backward asymmetry in the standard model, we get $q_0^2=(4.07^{+0.13}_{-0.12})~{GeV}^2$. The scale dependence of $q_0^2$ is discussed in detail." @default.
- W1563131206 created "2016-06-24" @default.
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- W1563131206 date "2006-07-18" @default.
- W1563131206 modified "2023-10-15" @default.
- W1563131206 title "B→K*ℓ+ℓ- decay in soft-collinear effective theory" @default.
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- W1563131206 doi "https://doi.org/10.1140/epjc/s2006-02596-4" @default.
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