Factorization at Subleading Power and Irreducible Uncertainties in $\bar{B}\to X_s\gamma$ Decay

Abstract

Using methods from soft-collinear and heavy-quark effective theory, a systematic factorization analysis is performed for the $\bar{B}\to X_s\gamma$ photon spectrum in the endpoint region $m_b-2E_{\gamma }=\mathcal{O}({\Lambda }_{\mathrm{QCD}})$. It is proposed that, to all orders in $1/m_b$, the spectrum obeys a novel factorization formula, which besides terms with the structure $HJ\otimes S$ familiar from inclusive $\bar{B}\to X_{u}l\bar{\nu }$ decay distributions contains "resolved photon" contributions of the form $HJ\otimes S\otimes \bar{J}$ and $HJ\otimes S\otimes \bar{J}\otimes \bar{J}$. Here $S$ and $\bar{J}$ are new soft and jet functions, whose form is derived. These contributions arise whenever the photon couples to light partons instead of coupling directly to the effective weak interaction. The new contributions appear first at order $1/m_b$ and are related to operators other than $Q_{7\gamma }$ in the effective weak Hamiltonian. They give rise to non-vanishing $1/m_b$ corrections to the total decay rate, which cannot be described using a local operator product expansion. A systematic analysis of these effects is performed at tree level in hard and hard-collinear interactions. The resulting uncertainty on the decay rate defined with a cut $E_{\gamma }>1.6$ GeV is estimated to be approximately $\pm 5$. It could be reduced by an improved measurement of the isospin asymmetry ${\Delta }_{0-}$ to the level of $\pm 4$. We see no possibility to reduce this uncertainty further using reliable theoretical methods.

63 pages, 11 Figures, Journal Version

References in corpus (23)

• Estimate of BR(B -> X_s gamma) at O(alpha_s^2)
• The Zero-Bin and Mode Factorization in Quantum Field Theory
• Flavor Physics in the Quark Sector
• Dynamical Threshold Enhancement and Resummation in Drell-Yan Production
• Averages of b-hadron and c-hadron Properties at the End of 2007
• Lattice QCD inputs to the CKM unitarity triangle analysis
• Toward a NNLO calculation of the B-->X_s+gamma decay rate with a cut on photon energy: II. Two-loop result for the jet function
• Inclusive semileptonic B decays and the determination of |V_ub|
• Analysis of Br(B-->X_s gamma) at NNLO with a Cut on Photon Energy
• Updated Constraints from B Physics on the MSSM and the NMSSM
• The Supersymmetric Parameter Space in Light of B-physics Observables and Electroweak Precision Data
• Penguins with Charm and Quark-Hadron Duality
• Enhanced Non-local Power Corrections to the B->X_s+gamma Decay Rate
• Power Corrections in Charmless Nonleptonic B-Decays: Annihilation is Factorizable and Real
• Magnetic dipole operator contributions to the photon energy spectrum in anti-B -> X(s) gamma at O(alpha(s)^2)
• Challenges for MSSM Higgs searches at Hadron Colliders
• Subleading Jet Functions in Inclusive B Decays
• B -> Xs gamma - Current Status
• Evolution equation for the B-meson distribution amplitude in the heavy-quark effective theory in coordinate space
• Relation between Light Cone Distribution Amplitudes and Shape Function in B mesons
• Probing electroweak physics using B -> XM decays in the endpoint region
• Subleading Shape-Function Effects and the Extraction of |V_ub|
• Anti-B --> X(s) gamma: Standard Model and Beyond

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