Higher order QCD corrections in exclusive charmless B decays

Abstract

We discuss exclusive charmless B decays within the Standard Model of particle physics. In particular, we consider hadronic two-body decays as B -> pi pi and perform a conceptual analysis of heavy-to-light form factors which encode the strong interaction effects in semi-leptonic decays as B -> pi l nu. Concerning the hadronic decays we compute NNLO QCD corrections which are particularly important with respect to strong interaction phases and hence direct CP asymmetries. We present results for the imaginary part of the topological tree amplitudes and a partial calculation of the real part of the amplitudes which is technically more involved. In our conceptual analysis of the QCD dynamics in heavy-to-light transitions we consider form factors between non-relativistic bound states. We perform a NLO analysis and compute the so-called soft-overlap contribution which is calculable in our set-up. As a byproduct of our analysis, we calculate leading-twist light-cone distribution amplitudes for non-relativistic bound states which can be applied for B_c or eta_c mesons.

Ph.D. Thesis, 158 pages. v2: typos in Appendix A.2 corrected (thanks to R. Bonciani, A. Ferroglia and T. Huber for pointing them out)

References in corpus (58)

• Weak Decays Beyond Leading Logarithms
• An effective field theory for collinear and soft gluons: heavy to light decays
• Soft-Collinear Factorization in Effective Field Theory
• QCD Factorization for $B\to \pi \pi$ Decays: Strong Phases and CP Violation in the Heavy Quark Limit
• CP Violation and the CKM Matrix: Assessing the Impact of the Asymmetric B Factories
• QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states
• Harmonic Polylogarithms
• Asymptotic expansion of Feynman integrals near threshold
• Differential Equations for Two-Loop Four-Point Functions
• Differential Equations for Feynman Graph Amplitudes
• Estimate of BR(B -> X_s gamma) at O(alpha_s^2)
• Penguin Enhancement and $B\to K\pi$ decays in perturbative QCD
• Observation of Large CP Violation in the Neutral B Meson System
• Fat penguins and imaginary penguins in perturbative QCD
• Symmetry-breaking corrections to heavy-to-light B meson form factors at large recoil
• Observation of CP violation in the B^0 meson system
• An automatized algorithm to compute infrared divergent multi-loop integrals
• Asymptotics of Heavy-Meson Form Factors
• The Zero-Bin and Mode Factorization in Quantum Field Theory
• HypExp, a Mathematica package for expanding hypergeometric functions around integer-valued parameters
• B -> M1 M2: Factorization, Charming Penguins, Strong Phases, and Polarization
• Heavy-to-Light Form Factors in the Final Hadron Large Energy Limit of QCD
• Effective Hamiltonian for Non-Leptonic |Delta F| = 1 Decays at NNLO in QCD
• A proof of factorization for B -> D pi
• The B-Meson Distribution Amplitude in QCD
• Factorization of heavy-to-light form factors in soft-collinear effective theory
• Factorization and Endpoint Singularities in Heavy-to-Light decays
• Anomalous Dimension Matrix for Radiative and Rare Semileptonic B Decays up to Three Loops
• Two-Loop Quark and Gluon Form Factors in Dimensional Regularisation
• Resolution to the B -> pi K puzzle
• Renormalization-Group Evolution of the B-Meson Light-Cone Distribution Amplitude
• Calculation of two-loop virtual corrections to b --> s l+ l- in the standard model
• Non-factorizable Contributions to $B\to \pi \pi$ Decays
• Collinear effective theory at subleading order and its application to heavy-light currents
• Spectator Interactions in Soft-Collinear Effective Theory
• |Delta F| = 1 Nonleptonic Effective Hamiltonian in a Simpler Scheme
• The rare decay B --> X_s l^+ l^- to NNLL precision for arbitrary dilepton invariant mass
• Model-Independent Properties of the B-Meson Distribution Amplitude
• Spectator scattering at NLO in non-leptonic B decays: Tree amplitudes
• Heavy-to-light B meson form factors at large recoil energy -- spectator-scattering corrections
• Master integrals with 2 and 3 massive propagators for the 2-loop electroweak form factor - planar case
• Factorization and the Soft Overlap Contribution to Heavy-to-Light Form Factors
• NNLO Vertex Corrections in charmless hadronic B decays: Imaginary part
• QCD Radiative Corrections to the Leptonic Decay Rate of the B_c Meson
• Loop corrections to sub-leading heavy quark currents in SCET
• |V_ub| and Constraints on the Leading-Twist Pion Distribution Amplitude from B->pi l nu
• Light-cone sum rules in soft-collinear effective theory
• Master Integrals For Massless Two-Loop Vertex Diagrams With Three Offshell Legs
• Comment on ``B->M_1 M_2: Factorization, charming penguins, strong phases, and polarization''
• Soft-Collinear Messengers: A New Mode in Soft-Collinear Effective Theory
• NRQCD Factorization for Twist-2 Light-Cone Wave-Functions of Charmonia
• Implication of the B -> rho rho data on the B -> pi pi puzzle
• The analytic value of the sunrise self-mass with two equal masses and the external invariant equal to the third squared mass
• Power Corrections in Charmless Nonleptonic B-Decays: Annihilation is Factorizable and Real
• Analytic two-loop virtual corrections to $b-->d{l}^{+}{l}^{-}$
• Annihilation effects in $B\to \pi \pi$ from QCD Light-Cone Sum Rules
• QCD Light-Cone Sum Rule Estimate of Charming Penguin Contributions in B -> pi pi
• Higher-Order Corrections to QCD Factorization in B->pi K,pi pi Decays

Cited by in corpus (19)

• NNLO vertex corrections to non-leptonic B decays: Tree amplitudes
• NNLO Vertex Corrections in charmless hadronic B decays: Imaginary part
• Two-loop QCD correction to differential semi-leptonic b --> u decays in the shape-function region
• Analytic calculation of two-loop QCD corrections to b\to s\ell^+\ell^- in the high q^2 region
• Modelling light-cone distribution amplitudes from non-relativistic bound states
• NNLO corrections to inclusive semileptonic B decays in the shape-function region
• $B_c$ Exclusive Decays to Charmonium and a Light Meson at Next-to-Leading Order Accuracy
• NNLO vertex corrections in charmless hadronic B decays: Real part
• Light-quark two-loop corrections to heavy-quark pair production in the gluon fusion channel
• Hard spectator interactions in B to pi pi at order alpha_s^2
• Master integrals for the two-loop penguin contribution in non-leptonic B-decays
• Heavy-to-light currents at NNLO in SCET and semi-inclusive anti-B ---> X(s) l+ l- decay
• Analysis of the $B_q\to D_q(D_q^{\ast })P$ and $B_q\to D_q(D_q^{\ast })V$ decays within the factorization approach in QCD
• Two-loop QCD Corrections to $B_c$ Meson Leptonic Decays
• Calculation of two-loop QCD corrections for hadronic single top-quark production in the t channel
• NLO QCD Corrections to $B_c$-to-Charmonium Form Factors
• Three-loop planar master integrals for heavy-to-light form factors
• NNLO corrections to charmless hadronic B decays
• NNLO corrections to semileptonic and hadronic B decays