Refactorisation in subleading $\bar{B}\to X_s\gamma$

Abstract

We establish refactorisation conditions between the subleading $O_8$-$O_8$ contributions to the inclusive $\bar{B}\to X_s\gamma$ decay suffering from endpoint divergences and prove a factorisation theorem for these contributions to all orders in the strong coupling constant. This allows for higher-order calculations of the resolved contributions and consistent summation of large logarithms, consequently reducing the recently found large-scale dependence in these contributions. We implement the concept of refactorisation in a heavy flavour application of SCET, which includes nonperturbative functions as additional subtlety not present in collider applications.

24 pages, 4 figures

References in corpus (8)

• Updated NNLO QCD predictions for the weak radiative B-meson decays
• Enhanced electromagnetic correction to the rare $B$-meson decay $B_{s,d}\to {\mu }^{+}{\mu }^{-}$
• The gluon jet function at two-loop order
• Long-Distance Dominance of the CP Asymmetry in B->X_{s,d}+gamma Decays
• Radiative and Electroweak Penguin Decays of B Mesons
• Next-to-leading power endpoint factorization and resummation for off-diagonal "gluon" thrust
• Subleading Jet Functions in Inclusive B Decays
• Subleading-power N-jet operators and the LBK amplitude in SCET

Cited by in corpus (10)

• Structure-Dependent QED Effects in Exclusive B Decays at Subleading Power
• Threshold factorization of the Drell-Yan quark-gluon channel and two-loop soft function at next-to-leading power
• Structure-dependent QED effects in exclusive $B$-meson decays
• On the gauge-invariance of SCET beyond leading power
• Data-driven analyses and model-independent fits for present $b\to s\ell \ell$ results
• The Q_{1,2}-Q_7 interference contributions to b -> s gamma at O(alpha_s^2) for the physical value of m_c
• 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
• $B_c\to {\eta }_c$ form factors at large recoil: Interplay of soft-quark and soft-gluon dynamics
• The Simplest B Decay, Precisely
• Update of the nonlocal sub-leading $O_1$-$O_7$ contribution to $\bar{B}\to X_s\gamma$ at LO