Soft-collinear effective theory and heavy-to-light currents beyond leading power

Abstract

An important unresolved question in strong interaction physics concerns the parameterization of power-suppressed long-distance effects to hard processes that do not admit an operator product expansion (OPE). Recently Bauer et al.\ have developed an effective field theory framework that allows one to formulate the problem of soft-collinear factorization in terms of fields and operators. We extend the formulation of soft-collinear effective theory, previously worked out to leading order, to second order in a power series in the inverse of the hard scale. We give the effective Lagrangian and the expansion of ``currents'' that produce collinear particles in heavy quark decay. This is the first step towards a theory of power corrections to hard processes where the OPE cannot be used. We apply this framework to heavy-to-light meson transition form factors at large recoil energy.

46 pages, LaTeX; v2: two references added, eq. (52) corrected

References in corpus (3)

• Hard Scattering Factorization from Effective Field Theory
• Reparameterization Invariance for Collinear Operators
• Collinear effective theory at subleading order and its application to heavy-light currents

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• Refining the GENEVA method for Higgs boson production via gluon fusion
• Factorization in exclusive semileptonic radiative B decays
• Initial-state splitting kernels in cold nuclear matter
• Power Corrections to Pion Transition Form Factor in Perturbative QCD Approach
• Soft collinear effective theory for gravity
• Infrared Singularities and Soft Gluon Resummation with Massive Partons
• Gluon TMD fragmentation function into quarkonium
• Radiative corrections and Monte Carlo tools for low-energy hadronic cross sections in $e^{+}{e}^{-}$ collisions
• Systematic Improvement of Parton Showers with Effective Theory
• Heavy meson semileptonic differential decay rate in two dimensions in the large Nc
• The transverse-momentum spectrum of Higgs bosons near threshold at NNLO
• Pion and Kaon form factors in the perturbative QCD approach
• $J/\psi$ $\to$ $DP$, $DV$ decays in the QCD factorization approach
• QCD radiative corrections to the soft spectator contribution in the wide angle Compton scattering
• Hadron-in-jet production at partonic threshold
• Exploring slicing variables for jet processes
• Renormalization of the next-to-leading-power $\gamma \gamma \to h$ and $gg\to h$ soft quark functions
• Fully Differential Higgs Pair Production in Association With a $Z$ Boson at Next-to-Next-to-Leading Order in QCD
• Factorizing the hard and soft spectator scattering contributions for the nucleon form factor F_1 at large Q^2
• Soft-collinear gravity with fermionic matter
• Factorization and transverse phase-space parton distributions
• Shape Functions from B -> X_c \ell ν
• Disentangling observable dependence in SCETI and SCETII anomalous dimensions: angularities at two loops
• Ward Identities, B-> ρForm Factors and |V_ub|
• Two-loop bottom mass effects on the Higgs transverse momentum spectrum in top-induced gluon fusion
• Inclusive $h_c$ production and energy spectrum from $e^{+}{e}^{-}$ annihilation at Super $B$ factory
• Glauber Phases in Non-Global LHC Observables: Resummation for Quark-Initiated Processes
• Spin correlations and Bell nonlocality in $\Lambda \bar{\Lambda }$ pair production from $e^{+}{e}^{-}$ collisions with a thrust cut
• The leading jet transverse momentum in inclusive jet production and with a loose jet veto
• Heavy Quark Symmetry in Nonleptonic B-Decays to Excited Charmed Mesons
• Thrust distribution in Higgs decays up to the fifth logarithmic order
• QCD anatomy of photon isolation
• Study of $B_s$ $\to$ ${\eta }_c(J/\psi )D$ decay with perturbative QCD approach
• Probing heavy meson lightcone distribution amplitudes with heavy quark spin symmetry
• Double-Real-Virtual and Double-Virtual-Real Corrections to the Three-Loop Thrust Soft Function
• The ${\rm Y}(1S)$ $\to$ $B_c\rho$ decay with perturbative QCD approach
• Study on pure annihilation type B to V gamma decays
• Threshold resummation for the production of a color sextet (antitriplet) scalar at the LHC
• Charmless $B_s\to VS$ Decays in PQCD Approach
• N${}^3$LL + $\mathcal{O}({\alpha }_s^2)$ predictions of lepton-jet azimuthal angular distribution in deep-inelastic scattering
• Soft-Collinear Supersymmetry
• Electroweak resummation of neutralino dark-matter annihilation into high-energy photons
• Rare B-Meson Decays at the Crossroads
• Towards pair production near threshold with unstable particle effective theory
• Reinvestigating the $B$ $\to$ $PV$ decays by including the contributions from ${\varphi }_{B2}$ with the perturbative QCD approach
• Possibility of searching for $B_c^{\ast }$ $\to$ $B_{u,d,s}V$, $B_{u,d,s}P$ decays
• The DIS 1-Jettiness Event Shape at N${}^3$LL+$\mathcal{O}({\alpha }_s^2)$
• Structure-dependent QED effects in exclusive $B$-meson decays
• Jet veto resummation for STXS $H+$1-jet bins at aNNLL${}^{\prime }$+NNLO
• Probing new physics in class-I $B$-meson decays into heavy-light final states
• Decay b -> (c\bar{c}) s in the leading logarithm approximation
• Removing phase-space restrictions in factorized cross sections
• Analytic NNLO transverse-momentum-dependent soft function for heavy quark pair hadroproduction at threshold
• On the gauge-invariance of SCET beyond leading power
• ${\rm Y}(nS)$ $\to$ $B_c^{\ast }D$ decays with perturbative QCD approach
• $J/\psi$ $\to$ $D_{s,d}\pi$, $D_{s,d}K$ decays with perturbative QCD approach
• Azimuthal decorrelation for photon induced dijet production in ultra-peripheral collisions of heavy ions
• Angularity in Higgs boson decays via $\mathbf{H}\to \mathbf{gg}$ at NNLL${}^{\prime }$ accuracy
• Study of the ${\rm Y}(1S)$ $\to$ $B_c{D}_s^{\ast }$ decay with pQCD approach
• Region analysis of $H\to \gamma \gamma$ via a bottom quark loop
• Angular distribution of thrust axis with power-suppressed contribution in e+e- annihilation
• NNLO electron structure functions (PDFs) from SCET
• Poincare' invariance constraints on non-relativistic effective field theories
• The SCET_II and factorization
• Phenomenology of B -> pi pi, pi K Decays at O(alpha^2 beta_0) in QCD Factorization
• Review of opportunities at the HESR-Collider with PANDA at FAIR
• Three-loop soft function for energetic electroweak boson production at hadron colliders
• Subtracted Cumulants: Mitigating Large Background in Jet Substructure
• New Physics Search in Flavour Physics
• Implications of recent LHCb data on CPV in b-baryon four body decays
• Nucleon tomography. What can we do better today than Rutherford 100 years ago?
• Streamlining resummed QCD calculations using Monte Carlo integration
• $q_T$-slicing with multiple jets
• Study of $J/\psi$ $\to$ $D_{s,d}V$ decays with perturbative QCD approach
• Effective Field Theory for Heavy Vector Resonances Coupled to the Standard Model
• 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
• The $q_{\mathrm{T}}$ and $\Delta {\varphi }_{t\bar{t}}$ spectra in top-antitop hadroproduction at NNLL+NNLO: the interplay of soft-collinear resummation and Coulomb singularities
• Collinear Superspace
• Resummed transverse momentum distribution of pseudo-scalar Higgs boson at NNLO${}_A$+NNLL
• Factorization at subleading power in deep inelastic scattering in the $x\to 1$ limit
• $B\to K\pi$ Decays with $1/m_b$ Corrections in $QCD$ Factorization
• Three-loop jet function for boosted heavy quarks
• Transverse momentum dependent distribution functions in the threshold limit
• $B^{\ast }$ $\to$ $\bar{D}D$ decays with perturbative QCD approach
• Soft-Collinear Effective Theory: BRST Formulation
• Non-relativistic high-energy physics: top production and dark matter annihilation
• One-loop Jet Functions by Geometric Subtraction
• $B_c\to {\eta }_c$ form factors at large recoil: Interplay of soft-quark and soft-gluon dynamics
• Next-to-next-to-leading order threshold soft function for $tW$ production
• Effective Field Theory Factorization for Diffraction
• Transverse momentum resummation for color sextet and antitriplet scalar production at the LHC
• Gauge invariance of radiative jet functions in the position-space formulation of SCET
• Study of the ${\bar{B}}_q^{\ast }$ $\to$ $DM$ decays with perturbative QCD approach
• Study on the ${\rm Y}(1S)$ $\to$ $B_c{D}_s$ decay
• The Evolution of Soft Collinear Effective Theory
• Endpoint behavior of high-energy scattering cross sections
• Radiative decays ${\chi }_{cJ}\to V\gamma$ within the QCD factorisation framework
• Constraints on B--->pi,K transition form factors from exclusive semileptonic D-meson decays
• Radiative distortion of kinematic edges in cascade decays
• A reanalysis of event shape distributions in electron-positron annihilation
• Quantum Number Density Asymmetries Within QCD Jets Correlated With Lambda Polarization
• An Effective Field Theory Look at Deep Inelastic Scattering
• Exclusive decays ${\chi }_{cJ}\to K^{\ast }(892)K$ within the effective field theory framework
• The ${\rm Y}(nS)$ $\to$ $B_c^{\ast }\pi$, $B_c^{\ast }K$ decays with perturbative QCD approach
• Semileptonic neutral current decays of ${\Xi }_b$ with dileptons or dineutrinos in the final state
• The 1-Jettiness event shape for DIS with NNLL resummation
• Next-to-leading power two-loop soft functions for the Drell-Yan process at threshold
• QCD and Heavy Hadron Decays
• Light-cone sum rules for the heavy-to-light transition in the effective theory
• Theory of hadronic B decays
• Infrared Anomalous Dimensions at Three-Loop in the SM from Conserved Currents
• Power Counting Energy Flow Polynomials
• A Brief Account of $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$ Decay in Soft-Collinear Effective Theory
• NNLO soft function for threshold single inclusive jet production
• Impact on the decay rate of $B_s\to {\mu }^{+}{\mu }^{-}$ from the dispersive two-photon transition
• The ${\rm Y}(nS)$ $\to$ $B_c{D}_s$, $B_c{D}_d$ decays with perturbative QCD approach
• The Chiral Anomaly in SCET
• The Simplest B Decay, Precisely
• Fully differential Higgs boson pair production at N${}^3$LO with top quark mass effects
• Jet Charge with Global Event Shapes: Probing Quark Flavor Dynamics
• New physics search in the LHCb era
• Soft background fields at next-to-leading power in transverse momentum dependent SIDIS with jets
• A description of charmonia decays $J/\psi \to B\bar{B}$ within the QCD factorisation framework
• QCD Effects in High Energy Processes
• Nucleon Tomography with 0-jettiness
• Strange quark mass effect in $B_s\to \gamma \gamma ,\gamma \ell \bar{\ell }$ decays
• The analytic two-loop soft function for leading-jet $p_T$