Summing Sudakov logarithms in B -> X_s + gamma in effective field theory

Abstract

We construct an effective field theory valid for processes in which highly energetic light-like particles interact with collinear and soft degrees of freedom, using the decay B -> X_s + gamma near the endpoint of the photon spectrum, x = 2 E_gamma / m_b -> 1, as an example. Below the scale mu=m_b both soft and collinear degrees of freedom are included in the effective theory, while below the scale mu=m_b sqrt{x-y}, where 1-y is the lightcone momentum fraction of the b quark in the B meson, we match onto a theory of bilocal operators. We show that at one loop large logarithms cancel in the matching conditions, and that we recover the well known renormalization group equations that sum leading Sudakov logarithms.

23 pages, 11 figures

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• Exploiting jet binning to identify the initial state of high-mass resonances
• Multiple soft radiation at one-loop order and the emission of a soft quark-antiquark pair
• Chiral Dynamics and S-wave contributions in Semileptonic $D_s/B_s$ decays into ${\pi }^{+}{\pi }^{-}$
• Semi-inclusive radiative decays of Upsilon 1S
• Resummation of soft and Coulomb corrections for $t\bar{t}h$ production at the LHC
• Heavy Quark Jet Fragmentation
• Transverse Vetoes with Rapidity Cutoff in SCET
• Radiative Corrections to Longitudinal and Transverse Gauge Boson and Higgs Production
• A New Method for Determining gamma from B-> pi pi Decays
• Null tests of the Standard Model at an International Super $B$ Factory
• Projected transverse momentum resummation in top-antitop pair production at LHC
• Precision Global Determination of the $B\to X_s\gamma$ Decay Rate
• Graphical amplitudes from SCET
• Flavor-singlet light-cone amplitudes and radiative Upsilon decays in SCET
• Next-to-Next-to-Leading Order $N$-Jettiness Soft Function for One Massive Colored Particle Production at Hadron Colliders
• Revisiting the Annihilation Corrections in Non-leptonic ${\bar{B}}_s^0$ Decays within QCD Factorization
• Collinear expansion for color singlet cross sections
• Taming the B --> X(s) gamma spectrum by Dressed Gluon Exponentiation
• Thrust distribution in Higgs decays at the next-to-leading order and beyond
• Soft, collinear and non-relativistic modes in radiative decays of very heavy quarkonium
• Joint thrust and TMD resummation in electron-positron and electron-proton collisions
• Factorization in B -> K pi e+e- decays
• Infrared Scales and Factorization in QCD
• The First Calculation of Fractional Jets
• The spin-dependent quark beam function at NNLO
• Constraints on hard spectator scattering and annihilation corrections in $B_{u,d}$ $\to$ $PV$ decays within QCD factorization
• Leading power SCET analysis of $e^{+}{e}^{-}\to J/\psi gg$
• The Sivers Asymmetry in Hadronic Dijet Production
• Heavy Quark Symmetry in Isosinglet Nonleptonic B-Decays
• Hard Matching for Boosted Tops at Two Loops
• B_s \to ρ(ω) K^* with Perturbative QCD approach
• Massive Event-Shape Distributions at N${}^2$LL
• Global Analysis of hadronic two-body B decays in the perturbative QCD approach
• Role of electromagnetic dipole operator in the electroweak penguin dominated vector meson decays of $B$ meson
• Double-real contribution to the quark beam function at N${}^3$LO QCD
• Testing factorization in B -> D(*)X decays
• Universality and m_X cut effects in B -> Xs l+ l-
• Inclusive $J/\psi$ Productions at $e^{+}{e}^{-}$ Colliders
• Radiative and semi-leptonic B-meson decay spectra: Sudakov resummation beyond logarithmic accuracy and the pole mass
• Collinear Drop
• Annihilation Type Radiative Decays of $B$ Meson in Perturbative QCD Approach
• On phase-space integrals with Heaviside functions
• Factorization of Power Corrections in the Drell-Yan Process in EFT
• Heavy quark jet production near threshold
• Decipher the short-distance component of $X(3872)$ in $B_c$ decays
• Leading jets and energy loss
• Drell-Yan Transverse-Momentum Spectra at N${}^3$LL${}^{\prime }$ and Approximate N${}^4$LL with SCETlib
• Future prospects of B physics
• Oriented Event Shapes at N3LL + O(as^2)
• Fragmentation with a Cut on Thrust: Predictions for B-factories
• The Fully-Differential Gluon Beam Function at NNLO
• An Effective Theory of Quarkonia in QCD Matter
• QCD Analysis of the Scale-Invariance of Jets
• Factorization of the dijet cross section in electron-positron annihilation with jet algorithms
• Nonperturbative m_X cut effects in B -> Xs l+ l- observables
• The EFT Bootstrap at Finite $M_{PL}$
• Model-Independent Results for SU(3) Violation in Twist-3 Light-Cone Distribution Functions
• The color-singlet contribution to e^+ e^- ->J/psi + X at the endpoint
• Resummation prediction on top quark transverse momentum distribution at large pT
• The gravitational cusp anomalous dimension from AdS space
• Suppressed $B\to PV$ CP asymmetry: CPT constraint
• A fast and accurate method for perturbative resummation of transverse momentum-dependent observables
• The Effects of a Family Non-universal Z' Boson in the \bar{B}_s->πK, πK*, ρK Decays and B_d-\bar{B_d} mixing
• Infrared regulators and SCETII
• Overview of Non-Relativistic QCD
• SCET, QCD and Wilson Lines
• Two loop QCD corrections for the process Pseudo-scalar Higgs $\to 3$ partons
• Charmless hadronic $B_c\to VA,AA$ decays in the perturbative QCD approach
• Triple-real contribution to the quark beam function in QCD at next-to-next-to-next-to-leading order
• Chiral kinetic theory with small mass corrections and quantum coherent states
• Non-factorizable contributions to deep inelastic scattering at large x
• Power Counting and Modes in SCET
• Chromoelectric field correlator for quarkonium transport in the strongly coupled $\mathcal{N}=4$ Yang-Mills plasma from AdS/CFT
• Two loop soft function for secondary massive quarks
• Identifying regions in wide-angle scattering via graph-theoretical approaches
• Soft Theorem to Three Loops in QCD and $\mathcal{N}=4$ Super Yang-Mills Theory
• Collinear functions for QCD resummations
• Angularity in DIS at next-to-next-to-leading log accuracy
• Factorization of Boosted Multijet Processes for Threshold Resummation
• Searches for B0 decays to eta K0, eta eta, eta' eta', eta phi, and eta' phi
• Factorization of Radiative Leptonic Decays of $B^{-}$ and $D^{-}$ Mesons
• Power corrections in a transverse-momentum cut for vector-boson production at NNLO: the $qg$-initiated real-virtual contribution
• Systematic Study on QCD Interactions of Heavy Mesons with $\rho$ Meson
• $B\to K{K}^{\ast }$ Decays in the Perturbative QCD Approach
• ${\bar{B}}_{d,s}\to D_{d,s}^{\ast }V$ and ${\bar{B}}_{d,s}^{\ast }\to D_{d,s}V$ decays within QCD Factorization and Possible Puzzles
• NLO Massive Event-Shape Differential and Cumulative Distributions
• Anomalous Dimensions from Soft Regge Constants
• QCD aspects of exclusive B meson decays
• Perturbative corrections to the determination of Vub from the P+ spectrum in B->X_u l nu
• b to d d s bar transition and constraints on new physics in B^- decays
• Diphoton excess at 750 GeV: gluon-gluon fusion or quark-antiquark annihilation?
• Probing Spectator Scattering and Annihilation Corrections in $B_s$ $\to$ $PV$ Decays
• Regge behavior in effective field theory
• Momentum-space threshold resummation in $tW$ production at the LHC
• EFT for Soft Drop Double Differential Cross Section
• Dissecting polytopes: Landau singularities and asymptotic expansions in $2\to 2$ scattering
• Towards massless and massive event shapes in the large-${\beta }_0$ limit
• Poincaré invariance in NRQCD and pNRQCD revisited
• Integrated and Differential Accuracy in Resummed Cross Sections
• The effects of a family non-universal Z-prime boson on B--->pipi decays
• Can $B->X_c\ell \nu$ help us extract |V_{ub}| ?
• Testing the dynamics of B -> ππand constraints on α
• Chiral symmetry and exclusive B decays in the SCET
• Non-local slicing approaches for NNLO QCD in MCFM
• Branching Ratios and CP Violations of B \to K_0^*(1430) K^* Decays in the pQCD Approach
• Portal Effective Theories: A framework for the model independent description of light hidden sector interactions
• The soft drop momentum sharing fraction $z_g$ beyond leading-logarithmic accuracy
• Soft Functions for Generic Jet Algorithms and Observables at Hadron Colliders
• A Finite $S$-Matrix
• Next-to-next-to-leading order $N$-jettiness soft function for $tW$ production
• Three-Parton Contributions to B --> M_1 M_2 Annihilation at Leading Order
• Recent Developments on the CKM Matrix
• Fits of Weak Annihilation and Hard Spectator Scattering Corrections in $B_{u,d}\to VV$ Decays
• Revisiting the role of grooming in DIS
• Impact of Jet Veto Resummation on Slepton Searches
• Investigation of the bottomonium ground state η_b via its inclusive charm decays
• Multi-Soft gluon limits and extended current algebras at null-infinity
• Jet energy drop
• Electroweak Radiative Corrections to Higgs Production via Vector Boson Fusion using Soft-Collinear Effective Theory
• $Z\to {\pi }^{+}{\pi }^{-},K^{+}{K}^{-}$: A touchstone of the PQCD approach
• Reparameterization Invariant Operator Basis for NRQED and HQET
• Initial-state splitting kernels in cold nuclear matter
• $B\to a_1(1260)a_1(1260)$ and $b_1(1235)b_1(1235)$ decays in the perturbative QCD approach
• Gaining analytic control of parton showers
• Soft collinear effective theory for gravity
• A Collinear Perspective on the Regge Limit
• The NNLO soft function for N-jettiness in hadronic collisions
• Refining the GENEVA method for Higgs boson production via gluon fusion
• Pure Quark and Gluon Observables in Collinear Drop
• Transverse Energy-Energy Correlators in the Color-Glass Condensate at the Electron-Ion Collider
• Factorization of Radiative Leptonic Decays of $B^{-}$ and $D^{-}$ Mesons Including the Soft Photon Region
• Factorization in exclusive semileptonic radiative B decays
• Charged Higgs contribution to ${\bar{B}}_s\to \varphi {\pi }^0$ and ${\bar{B}}_s\to \varphi {\rho }^0$
• Systematic Improvement of Parton Showers with Effective Theory
• Gluon TMD fragmentation function into quarkonium
• 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
• From Underlying Event Sensitive To Insensitive: Factorization and Resummation
• Heavy meson semileptonic differential decay rate in two dimensions in the large Nc
• Universal Nonperturbative Effects in Event Shapes from Soft-Collinear Effective Theory
• Renormalization-group improved predictions for Higgs boson production at large $p_T$
• Pion and Kaon form factors in the perturbative QCD approach
• EW corrections and Heavy Boson Radiation at a high-energy muon collider
• $J/\psi$ $\to$ $DP$, $DV$ decays in the QCD factorization approach
• Medium-induced splitting kernels from SCET_G
• Study of Nonleptonic $B_{(s)}^{\ast }\to M_1{M}_2$ $(M=D$, $D_s$, $\pi$, $K)$ Weak Decays with Factorization Approach
• Gauge-boson production with multiple jets near threshold
• Breakdown of the naive parton model in super-weak scale collisions
• Hadron-in-jet production at partonic threshold
• The study of $B\to J/\Psi {\eta }^{(\prime )}$ decays and determination of $\eta -{\eta }^{\prime }$ mixing angle
• Prospects for strong coupling measurement at hadron colliders using soft-drop jet mass
• Review of top quark mass measurements in CMS
• Resummation of Jet Shapes and Extracting Properties of the Quark-Gluon Plasma
• Probing electroweak physics using B -> XM decays in the endpoint region
• Transverse Momentum Distributions in B-Decays
• Nonperturbative Charming Penguin Contributions to Isospin Asymmetries in Radiative B decays
• QCD radiative corrections to the soft spectator contribution in the wide angle Compton scattering
• The QCD Running Coupling and its Measurement
• Jet vetoes for Higgs production at future hadron colliders
• Factorized groomed jet mass distribution in inclusive jet processes
• Disentangling observable dependence in SCETI and SCETII anomalous dimensions: angularities at two loops
• Study of nonleptonic $B_q^{\ast }$ $\to$ $D_{q}V$ and $P_q{D}^{\ast }$ weak decays
• Two-loop $N$-jettiness soft function for $pp\to 2j$ production
• B_s\to K^{(*)-}K^{(*)+}, K^{(*)-}π^{+}, K^{(*)-}ρ^{+} decays in R-parity violating supersymmetry
• Factorizing the hard and soft spectator scattering contributions for the nucleon form factor F_1 at large Q^2
• Fragmentation function of $g\to Q\bar{Q}{(}^3{S}_1^{[8]})$ in soft gluon factorization and threshold resummation
• Inclusive $h_c$ production and energy spectrum from $e^{+}{e}^{-}$ annihilation at Super $B$ factory
• Charmless Final State Interaction in B-> pi pi decays
• Role of final state interactions in the B meson decay into two pions
• Two-loop bottom mass effects on the Higgs transverse momentum spectrum in top-induced gluon fusion
• Resummation for Lattice QCD Calculation of Generalized Parton Distributions at Nonzero Skewness
• Shape Functions from B -> X_c \ell ν
• A numerical formulation of resummation in effective field theory
• Study of the $B_c$ $\to$ $B_s\pi$ decay with the perturbative QCD approach
• Investigating the Quantum Properties of Jets and the Search for a Supersymmetric Top Quark Partner with the ATLAS Detector
• Exclusive heavy quark dijet cross section
• Electroweak Radiative Corrections to Higgs Production via Vector Boson Fusion using SCET: Numerical Results
• A formalism for the resummation of non-factorizable observables in SCET
• Chiral Perturbation Theory Reflections on Effective Theories of the Standard Model
• 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
• Rapidity Divergences and Deep Inelastic Scattering in the Endpoint Region
• Threshold resummation for the production of a color sextet (antitriplet) scalar at the LHC
• Thrust distribution in Higgs decays up to the fifth logarithmic order
• Consistent treatment of rapidity divergence in soft-collinear effective theory
• Manifestly Soft Gauge Invariant Formulation of vNRQCD
• Study of $B_s$ $\to$ ${\eta }_c(J/\psi )D$ decay with perturbative QCD approach
• Study of localized $CP$ violation in $B^{-}\to {\pi }^{-}{\pi }^{+}{\pi }^{-}$ and the branching ratio of $B^{-}\to \sigma (600){\pi }^{-}$ in the QCD factorization approach
• Reparametrization Invariance in Inclusive Decays of Heavy Hadrons
• Next-to-leading resummed coefficient function for the shape function
• Decay b -> (c\bar{c}) s in the leading logarithm approximation
• Possibility of searching for $B_c^{\ast }$ $\to$ $B_{u,d,s}V$, $B_{u,d,s}P$ decays
• Global Fit of alpha_s(m_Z) to Thrust at NNNLL Order with Power Corrections
• Factorization Approach for Top Mass Reconstruction at High Energies
• Semi-inclusive hadronic B decays in the endpoint region
• Subleading Shape-Function Effects and the Extraction of |V_ub|
• Probing new physics in class-I $B$-meson decays into heavy-light final states
• Towards pair production near threshold with unstable particle effective theory
• Analytic NNLO transverse-momentum-dependent soft function for heavy quark pair hadroproduction at threshold
• Threshold Resummation Effects in Neutral Higgs Boson Production by Bottom Quark Fusion at the CERN Large Hadron Collider
• Reinvestigating the $B$ $\to$ $PV$ decays by including the contributions from ${\varphi }_{B2}$ with the perturbative QCD approach
• The DIS 1-Jettiness Event Shape at N${}^3$LL+$\mathcal{O}({\alpha }_s^2)$
• Soft-Collinear Supersymmetry
• Polarized fragmenting jet functions in Inclusive and Exclusive Jet Production
• Structure of divergences in Drell-Yan process with small transverse momentum
• Studying of Bs --> K(*)-pi+, K(*)-rho+ decays within supersymmetry
• The SCET_II and factorization
• Three-loop soft function for energetic electroweak boson production at hadron colliders
• SCET sum rules for heavy-to-light form factors
• Angularity in Higgs boson decays via $\mathbf{H}\to \mathbf{gg}$ at NNLL${}^{\prime }$ accuracy
• Proof of NRQCD Factorization at All Order in Coupling Constant in Heavy Quarkonium Production
• Non-factorizable contribtion to $\overline{B_d^0}\to {\pi }^0{D}^0$
• Precision $e^{+}{e}^{-}$ Hemisphere Masses in the Dijet Region with Power Corrections
• NNLO electron structure functions (PDFs) from SCET
• Infrared and Holographic Aspects of the $S$-Matrix in Gauge Theory and Gravity
• Rapidity Logarithms in SCET Without Modes
• Leading SU(3) breaking in lightcone distribution amplitudes
• Threshold Factorization Redux
• Heavy Flavour Jet Substructure
• Streamlining resummed QCD calculations using Monte Carlo integration
• Combining Fixed-Order Helicity Amplitudes With Resummation Using SCET
• Studying the localized $CP$ violation and the branching fraction of the ${\bar{B}}^0\to K^{-}{\pi }^{+}{\pi }^{+}{\pi }^{-}$ decay
• State-of-the-Art Predictions for C-parameter and a Determination of alpha_s
• New Physics contribution to $B\to K\pi$ decays in SCET
• Collinear Superspace
• Accessing nucleon transversity with one-point energy correlators
• Subtracted Cumulants: Mitigating Large Background in Jet Substructure
• Light-Like Wilson Line in QCD Without Path Ordering
• Precision DIS thrust predictions for HERA and EIC
• Study of $B\to PP$ decays in the modified perturbative QCD approach
• One-loop transverse-momentum-dependent soft function at higher orders in the dimensional regulator
• New physics contributions to ${\bar{B}}_s\to {\pi }^0({\rho }^0){\eta }^{{(}^{\prime })}$ decays
• Towards an Effective Field Theory on the Light-Shell
• 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
• Resummed transverse momentum distribution of pseudo-scalar Higgs boson at NNLO${}_A$+NNLL
• Overview of charmonium decays and production from Non-Relativistic QCD
• Rapidity regulators in the semi-inclusive deep inelastic scattering and Drell-Yan processes
• How much joint resummation do we need?
• Is right-handed current contribution to $\bar{B}\to X_{u}l\nu$ decays corrected by non-trivial vacuum in QCD?
• Three-loop jet function for boosted heavy quarks
• Soft Collinear Effective Theory: An Overview
• Shape and soft functions of HQET and SCET in the 't Hooft Model
• Topics in gravity SCET: the diff Wilson lines and reparametrization invariance
• Analysis of exclusive $k_T$ jet algorithms in electron-positron annihilation
• Soft-collinear factorization in B decays
• $B\to K\pi$ Decays with $1/m_b$ Corrections in $QCD$ Factorization
• Color-octet contributions for $J/\psi$ inclusive production at B factories in soft gluon factorization
• Mass corrections to the hard thermal/dense loops
• Soft-Collinear Factorization and Sudakov Resummation of Heavy Meson Decay Amplitudes with Effective Field Theories
• The Catchment Area of Groomed Jets at NNLL
• Factorization at subleading power in deep inelastic scattering in the $x\to 1$ limit
• Radiative decays ${\chi }_{cJ}\to V\gamma$ within the QCD factorisation framework
• Analytic structure of the high-energy gravitational amplitude: multi-H diagrams and classical 5PM logarithms
• Production of charged $\rho$ meson in bottom hadron charmed decays and the effect of the finite width correction of the $\rho$ meson
• Exclusive decays of χ_{bJ} and η_b into two charmed mesons
• W-exchange/Annihilation amplitudes in LCSR - $B_d^0\to D_s^{-}{K}^{+}$ as an example
• Endpoint behavior of high-energy scattering cross sections
• Study of $B_s^0\to l^{+}{l}^{-}\gamma$ decays in the nonuniversal Z' model
• Gauge invariance of radiative jet functions in the position-space formulation of SCET
• NLO Oriented Event-Shape Distributions for Massive Quarks
• Factorizing Hidden Particle Production Rates
• One-loop Jet Functions by Geometric Subtraction
• Heavy Flavor Jet Substructure at Lepton Colliders
• The Evolution of Soft Collinear Effective Theory
• A new form of QCD coherence for multiple soft emissions using Glauber-SCET
• Ordering multiple soft gluon emissions using Glauber-SCET
• QCD Factorization Based on Six-Quark Operator Effective Hamiltonian from Perturbative QCD and Charmless Bottom Meson Decays $B_{(s)}\to \pi \pi ,\pi K,KK$
• Study of the ${\bar{B}}_q^{\ast }$ $\to$ $DM$ decays with perturbative QCD approach
• Semi-inclusive hadronic B decays as null tests of the Standard Model
• N-jettiness for muon jet pairs in electroweak high-energy processes
• Effective Field Theory Factorization for Diffraction
• Color-Octet $\jpsi$ Production in ${\rm Y}$ Decay near the Kinematic Limit
• Theory of hadronic B decays
• Supersymmetric contribution to B to rho K and B to pi K^* decays in SCET
• Role of Resonances in Heavy Meson Processes within Standard Model and Beyond
• Semi-Inclusive Jet Functions and Jet Substructure in $J_{E_T}^{(I)}$ and $J_{E_T}^{(II)}$ Algorithms
• Universal lepton universality violation in exclusive processes
• N-jettiness in electroweak high-energy processes
• Quark-Gluon Backscattering in the Regge Limit at One-Loop
• Theoretical Interest in B-Meson Physics at the B factories, Tevatron and the LHC
• Drell-Yan process in soft-collinear effective theory near end-point
• Effective Field Theories for the LHC
• Light-cone sum rules for the heavy-to-light transition in the effective theory
• Infrared Anomalous Dimensions at Three-Loop in the SM from Conserved Currents
• The 1-Jettiness event shape for DIS with NNLL resummation
• Transverse Momentum Distribution in B Decays
• A reanalysis of event shape distributions in electron-positron annihilation
• Wilson Lines and Boundary Operators of BCFW Shifts
• Comparison of leading and next-to-leading logarithmic electroweak corrections to Higgs production
• N=4 Supersymmetric Yang-Mills theory in soft-collinear effective theory
• On the color suppressed contribution to $\bar{B_{d}^0} \rightarrow \, π^0 π^{0}
• Taming the end-point singularities in heavy-to-light decays
• Jet Physics from Static Charges in AdS
• Exclusive decays ${\chi }_{cJ}\to K^{\ast }(892)K$ within the effective field theory framework
• Electroweak radiative corrections and unitarity of Standard Model
• The Chiral Anomaly in SCET
• QCD Beyond Leading Power
• NNLO soft function for threshold single inclusive jet production
• 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
• Phenomenological analysis of charmless $B\to PV$ decays in the modified perturbative QCD approach
• End-point resummation in squark decays
• $B$ to light meson form factors with end-point cutoff
• QCD-Factorization of inclusive B decays and |Vub|
• Heavy Meson Physics: What have we learned in Twenty Years?
• Semileptonic B Decays and Determination of |Vub|
• Soft-collinear effective theory for hadronic and nuclear collisions: The evolution of jet quenching from RHIC to the highest LHC energies
• Soft Integrals and Soft Anomalous Dimensions at N${}^3$LO and Beyond
• Simulating collider physics on quantum computers using effective field theories
• Infrared structure of $SU(N)\times U(1)$ gauge theory to three loops
• QED Contribution to the Color-Singlet $\jpsi$ Production in ${\rm Y}$ Decay Near the Endpoint
• Nonperturbative Effects in Event Shapes from Soft-Collinear Effective Theory
• Jet quenching beyond the energy loss approach
• A Brief Account of $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$ Decay in Soft-Collinear Effective Theory
• Power corrections in heavy-to-light decays at large recoil energy