Toward a NNLO calculation of the B-->X_s gamma decay rate with a cut on photon energy: I. Two-loop result for the soft function

Abstract

A theoretical analysis of the partial inclusive B-->X_s gamma decay rate with a cut E_gamma>E_0 on photon energy must deal with short-distance contributions associated with three different mass scales: the hard scale m_b, an intermediate scale \sqrt{m_b Delta}, and a soft scale Delta, where Delta=m_b-2E_0=1GeV for E_0=1.8GeV. The cut-dependent effects are described in terms of two perturbative objects called the jet function and the soft function, which for a next-to-next-to-leading order analysis of the decay rate are required with two-loop accuracy. The two-loop calculation of the soft function is presented here, while that of the jet function will be described in a subsequent paper. As a by-product, we rederive the two-loop anomalous-dimension kernel of the B-meson shape function.

arXiv comment13 pages, 2 figures

References in corpus (35)

• An effective field theory for collinear and soft gluons: heavy to light decays
• Heavy Quark Symmetry
• Soft-Collinear Factorization in Effective Field Theory
• An automatized algorithm to compute infrared divergent multi-loop integrals
• Quark mass effects in B -> Xs gamma
• Reparameterisation Invariance Constraints on Heavy Particle Effective Field Theories
• Automatic Integral Reduction for Higher Order Perturbative Calculations
• Structure functions for large $x$ and renormalization of Wilson loops
• QCD Anatomy of B -> X_s gamma Decays
• Multipole-expanded soft-collinear effective theory with non-abelian gauge symmetry
• Effective Hamiltonian for Non-Leptonic |Delta F| = 1 Decays at NNLO in QCD
• Analysis of the Photon Spectrum in Inclusive $B\to X_s\gamma$ Decays
• Factorization and Shape-Function Effects in Inclusive B-Meson Decays
• An inclusive measurement of the photon energy spectrum in b->s gamma decays
• QCD-Based Interpretation of the Lepton Spectrum in Inclusive $\bar{B}\to X_u\ell \bar{\nu }$ Decays
• A new method for real radiation at NNLO
• Theory of Charmless Inclusive B Decays and the Extraction of V_{ub}
• Spectator Interactions in Soft-Collinear Effective Theory
• Renormalization-Group Improved Calculation of the B->Xs+gamma Branching Ratio
• B -> X_u l nu decay distributions to order alpha_s
• Shape function effects in B -> X_s gamma and B -> X_u l nu decays
• Three-loop matching of the dipole operators for b -> s gamma and b -> s g
• The Residual Mass Term in the Heavy Quark Effective Theory
• Three-Loop Mixing of Dipole Operators
• The photon energy spectrum in B-> X_s + γin perturbative QCD through O(α_s^2)
• Fermionic NNLL corrections to b -> s γ
• The B -> X_s gamma Photon Spectrum
• Soft-Collinear Messengers: A New Mode in Soft-Collinear Effective Theory
• The electromagnetic dipole operator effect on B -> Xs gamma at O(alpha_s^2)
• Advanced Predictions for Moments of the B->X_s+gamma Photon Spectrum
• On the quark distribution in an on-shell heavy quark and its all-order relations with the perturbative fragmentation function
• Renormalized sum rules for structure functions of heavy mesons decays
• Two-Loop Relations for Heavy-Quark Parameters in the Shape-Function Scheme
• External Operators and Anomalous Dimensions in Soft-Collinear Effective Theory
• Reduction of Charm Quark Mass Scheme Dependence in $\bar{B}\to X_s\gamma$ at the NNLL Level

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