Subleading Power Factorization in $\bar{B}\to X_s{\ell }^{+}{\ell }^{-}$

Abstract

We analyze the factorization to subleading power in the flavor changing neutral current process $\bar{B}\to X_s{\ell }^{+}{\ell }^{-}$. In particular, we compute the so-called resolved contributions and explore the numerical impact on observables. In these contributions the virtual photon couples to light partons instead of connecting directly to the effective weak-interaction vertex. They represent an irreducible uncertainty in the inclusive $\bar{B}\to X_s{\ell }^{+}{\ell }^{-}$ decay which cannot be removed by relaxing the experimentally necessary cuts in the hadronic mass spectrum.

arXiv comment32 pages,18 figures

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• Phenomenology of inclusive $\bar{B}\to X_s{\ell }^{+}{\ell }^{-}$ for the Belle II era
• Long distance effects in inclusive rare $B$ decays and phenomenology of $\bar{B}\to X_d{\ell }^{+}{\ell }^{-}$
• Looking for $B\to X_s{\ell }^{+}{\ell }^{-}$ in non-minimal Universal Extra Dimensional model
• Resolved $1/m_b$ contributions to $\bar{B}\to X_{s,d}{\ell }^{+}{\ell }^{-}$ and $\bar{B}\to X_s\gamma$
• Renormalisation group evolution of the shape function $g_{17}$ in $\bar{B}\to X_s\gamma$ and $\bar{B}\to X_s{\ell }^{+}{\ell }^{-}$ at subleading power
• Update of the nonlocal sub-leading $O_1$-$O_7$ contribution to $\bar{B}\to X_s\gamma$ at LO
• Rare B, D and K decays, radiative and electroweak penguin decays, including constraints on $V_{td}/V_{ts}$ and ${\epsilon }^{\prime }/\epsilon$: Summary of CKM 2018 working group 3