Infrared factorization in inclusive B meson decays

Abstract

We perform infrared factorization of differential rates of radiative and semileptonic inclusive decays of the B meson in the end-point region of photon and charged lepton spectrum, respectively, in the leading heavy quark mass limit. We find that the differential rates are expressed in terms of hard, jet and soft functions, which satisfy evolution equations. Solving these equations, we find expressions for the moments of the differential rates in their end-point regions, which take into account all leading and nonleading logarithmic corrections in perturbation theory, as well as large nonperturbative power corrections. Expanded to the one-loop level, our predictions coincide with the results of existing lowest order calculations for B->γX_s and B->l\barnu X_u. Nonperturbative corrections appear in our formalism from the boundary value of the soft function in the evolution equation. The soft function is a universal process-independent function, which describes the distribution of the b quark in the B meson. Its behavior in the end-point region is governed by the nonperturbative asymptotics of a Wilson line expectation value. By considering the contributions of infrared renormalons, we find an ansatz for the Wilson line, which leads to a Gaussian model for the heavy quark distribution function.

LaTeX style, 15 pages, 2 figures (included) ITP-SB-94-35

References in corpus (6)

• Analysis of the Photon Spectrum in Inclusive $B\to X_s\gamma$ Decays
• QCD-Based Interpretation of the Lepton Spectrum in Inclusive $\bar{B}\to X_u\ell \bar{\nu }$ Decays
• Next--to--Leading Order Corrections to Meson Masses in the Heavy Quark Effective Theory
• Principal Value Resummation
• Gauge Invariance and Anomalous Dimensions of a Light-Cone Wilson Loop in Light-Like Axial Gauge
• QCD Corrections and the Endpoint of the Lepton Spectrum in Semileptonic B Decays

Cited by in corpus (126)

• An effective field theory for collinear and soft gluons: heavy to light decays
• Soft-Collinear Factorization in Effective Field Theory
• Summing Sudakov logarithms in B -> X_s + gamma in effective field theory
• Hard Scattering Factorization from Effective Field Theory
• Resummation for QCD Hard Scattering
• Heavy-to-Light Form Factors in the Final Hadron Large Energy Limit of QCD
• Sudakov Factorization and Resummation
• Power corrections to event shapes and factorization
• Flavor Physics in the Quark Sector
• Nonperturbative Corrections in Resummed Cross Sections
• Treating the b quark distribution function with reliable uncertainties
• Factorization and Shape-Function Effects in Inclusive B-Meson Decays
• Top-Quark Decay at Next-to-Next-to-Leading Order in QCD
• Theory of Charmless Inclusive B Decays and the Extraction of V_{ub}
• Path integral approach to eikonal and next-to-eikonal exponentiation
• Leptonic and Semileptonic Decays of Charm and Bottom Hadrons
• Event shapes in e+e- annihilation and deep inelastic scattering
• Two-Loop Soft Corrections and Resummation of the Thrust Distribution in the Dijet Region
• Renormalization-Group Improved Calculation of the B->Xs+gamma Branching Ratio
• Shape function effects in B -> X_s gamma and B -> X_u l nu decays
• Use and Misuse of QCD Sum Rules in Heavy-to-light Transitions: the Decay $B\to \rho e\nu$ Reexamined
• Factorization at Subleading Power and Irreducible Uncertainties in $\bar{B}\to X_s\gamma$ Decay
• Inclusive spectra in charmless semileptonic B decays by Dressed Gluon Exponentiation
• Analysis of Br(B-->X_s gamma) at NNLO with a Cut on Photon Energy
• Webs in multiparton scattering using the replica trick
• Radiative Corrections to the Decay $B\to \pi e\nu$ and the Heavy Quark Limit
• Factorization in leptonic radiative B -> gamma eνdecays
• Power Corrections in the Decay Rate and Distributions in $B\to X_s{\ell }^{+}{\ell }^{-}$ in the Standard Model
• Factorization and Sudakov Resummation in Leptonic Radiative B Decay
• Quark Fragmentation within an Identified Jet
• Factorization, the light-cone distribution amplitude of the B-meson and the radiative decay B -> gamma l nu_l
• Resumming the color-octet contribution to e+ e- -> J/psi + X
• Two-loop QCD correction to differential semi-leptonic b --> u decays in the shape-function region
• Factorization for Power Corrections to B->Xs gamma and B-> Xu e nu
• B Mesons
• Extracting V_{ub} Without Recourse to Structure Functions
• New Physics at a Super Flavor Factory
• NNLO corrections to inclusive semileptonic B decays in the shape-function region
• Pion form factors with improved infrared factorization
• The Extraction of $V_{ub}$ from Inclusive B Decays and the Resummation of End Point Logs
• V_{ub} from the Hadronic Invariant Mass Spectrum in Semileptonic B Decay
• Power corrections to B\to X_u l ν(X_sγ) decay spectra in the "shape-function" region
• XCone: N-jettiness as an Exclusive Cone Jet Algorithm
• Model independent determination of the light-cone wave functions for exclusive processes
• Subleading Power Factorization with Radiative Functions
• Single-top-quark production in the $t$-channel at NNLO
• Resummed Photon Spectra for WIMP Annihilation
• Evolution of the Light Cone Distribution Function for a Heavy Quark
• Advanced Predictions for Moments of the B->X_s+gamma Photon Spectrum
• Light-cone distribution functions for B decays at subleading order in 1/mb
• Differential Distributions for t-channel Single Top-Quark Production and Decay at Next-to-Next-to-Leading Order in QCD
• Moments of the photon spectrum in the inclusive $B\to X_s\gamma$ decay
• NNLO corrections to B --> X_u l nu in the shape-function region
• 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
• Loop Corrections to Heavy-to-Light Form Factors and Evanescent Operators in SCET
• Resummation in hard QCD processes
• Soft-Gluon Resummation for Bottom Fragmentation in Top Quark Decay
• Two-Loop Radiative Jet Function for Exclusive $B$-Meson and Higgs Decays
• Extracting |V_{ub}| from the Hadronic Mass Spectrum of Inclusive B decays
• Radiative B decay spectrum: DGE at NNLO
• Locally finite two-loop amplitudes for off-shell multi-photon production in electron-positron annihilation
• Model independent determination of the shape function for inclusive B decays and of the structure functions in DIS
• The Octet Structure Function and Radiative Quarkonia Decay
• Diquarks and the Semi-Leptonic Decay of ${\Lambda }_b$ in the Hybrid Scheme
• A model for next-to-leading order threshold resummed form factors
• Proposal for a Precision Measurement of |Vub|
• Threshold Resummation at NNLL for Single-particle Production in Hadronic Collisions
• Subleading Shape Functions and the Determination of |V_{ub}|
• Resummed B -> X_u l nu Decay Distributions to Next-to-Leading Order
• Note on the Extraction of |V_{ub}| using Radiative B Decays
• Shape-Function Effects and Split Matching in B-> Xs l+ l-
• The Resummed Rate for B -> X_s gamma
• The structure function of semi-inclusive heavy flavour decays in field theory
• A consistent resummation of mass and soft logarithms in processes with heavy flavours
• Power corrections in deep inelastic structure functions at large Bjorken x
• A Comment on the Extractions of V_{ub} from Radiative Decays
• Three-loop soft function for heavy-to-light quark decays
• Precision Global Determination of the $B\to X_s\gamma$ Decay Rate
• Taming the B --> X(s) gamma spectrum by Dressed Gluon Exponentiation
• Full-Phase-Space Twist Expansion in Semileptonic and Radiative B-Meson Decays
• Approximate NNLO Threshold Resummation in Heavy Flavour Decays
• Universality of nonperturbative QCD effects in radiative B-decays
• Subleading shape function contributions to the hadronic invariant mass spectrum in B -> X_u l νdecay
• Universality and m_X cut effects in B -> Xs l+ l-
• Radiative and semi-leptonic B-meson decay spectra: Sudakov resummation beyond logarithmic accuracy and the pole mass
• PQCD analysis of inclusive semileptonic decays of B mesons
• On the Resummed Hadronic Spectra of Inclusive B Decays
• A dispersive approach to Sudakov resummation
• Nonperturbative m_X cut effects in B -> Xs l+ l- observables
• Review of Heavy Quark Physics - theory
• Non-factorizable contributions to deep inelastic scattering at large x
• Locally finite two-loop QCD amplitudes from IR universality for electroweak production
• Evolution equation for the B-meson distribution amplitude in the heavy-quark effective theory in coordinate space
• Factorization of Boosted Multijet Processes for Threshold Resummation
• Perturbative corrections to the determination of Vub from the P+ spectrum in B->X_u l nu
• Factorization of Radiative Leptonic Decays of $B^{-}$ and $D^{-}$ Mesons
• Minimal prescription corrected spectra in heavy quark decays
• Running-coupling effects in the triple-differential charmless semileptonic decay width
• Comparing B -> X_u l nu_l to B -> X_s gamma
• Impact of Four-Quark Shape Functions on Inclusive B Decay Spectra
• NNLO corrections to B --> X_u l nu and the determination of |V_ub|
• Resummation with Wilson lines off the light cone
• Towards the Anomalous Dimension to Order Lambda_QCD/m_b for Phase Space Restricted B --> X(u) ell anti-nu and B --> X(s) gamma
• Cancellation of Sudakov Logarithms in Radiative Decays of Quarkonia
• Transverse Momentum Distributions in B-Decays
• Leading Logarithms in Field Theory
• Determination of the HQET Parameters from the $B\to X_s\gamma$ Decay
• Factorized groomed jet mass distribution in inclusive jet processes
• Separated at Birth: Jet Maximization, Axis Minimization, and Stable Cone Finding
• Shape Functions from B -> X_c \ell ν
• Next-to-leading resummed coefficient function for the shape function
• Reparametrization Invariance in Inclusive Decays of Heavy Hadrons
• Determination of V_ub from semileptonic B decays
• Resummation of large corrections in inclusive $B$ meson decays
• Instantons and the endpoint of the lepton energy spectrum in charmless semileptonic $B$ decays
• Semi-inclusive hadronic B decays in the endpoint region
• The photon energy spectrum in $B\to X_s\gamma$ at N${}^3$LL${}^{\prime }$
• On the Determination of $|V_{ub}|$ from Inclusive Semileptonic Decay Spectra
• Radiatively corrected shape function for inclusive heavy hadron decays
• Soft-Gluon Resummation in Heavy Quarkonium Physics
• The shape function in field theory
• Factorization, Effective Field Theory, and B-> D^(*) X Decays
• Progress in computing inclusive B decay spectra
• Polarization and Distribution Function of ${\Lambda }_b$ Baryon
• Measurement of $V_{ub}$