Factorization at Next-to-Leading Power and Endpoint Divergences in $gg\to h$ Production

Abstract

We derive a factorization theorem for the Higgs-boson production amplitude in gluon-gluon fusion induced by a light-quark loop, working at next-to-leading power in soft-collinear effective theory. The factorization is structurally similar to that obtained for the $h\to \gamma \gamma$ decay amplitude induced by a light-quark loop, but additional complications arise because of external color charges. We show how the refactorization-based subtraction scheme developed in previous work leads to a factorization theorem free of endpoint divergences. We use renormalization-group techniques to predict the logarithmically enhanced terms in the three-loop $gg\to h$ form factor of order ${\alpha }_s^3{\ln }^k(-M_h^2/m_b^2)$ with $k=6,5,4,3$. We also resum the first three towers of leading logarithms, ${\alpha }_s^n{\ln }^{2n-k}(-M_h^2/m_b^2)$ with $k=0,1,2$, to all orders of perturbation theory.

arXiv comment46 pages, 7 figures

References in corpus (38)

• An effective field theory for collinear and soft gluons: heavy to light decays
• Soft-Collinear Factorization in Effective Field Theory
• Hard Scattering Factorization from Effective Field Theory
• Soft-collinear effective theory and heavy-to-light currents beyond leading power
• The 4-loop quark mass anomalous dimension and the invariant quark mass
• A Formalism for the Systematic Treatment of Rapidity Logarithms in Quantum Field Theory
• On the Structure of Infrared Singularities of Gauge-Theory Amplitudes
• Drell-Yan production at small q_T, transverse parton distributions and the collinear anomaly
• Infrared singularities of scattering amplitudes in perturbative QCD
• Quark Mass Anomalous Dimension to alpha_s**4
• Factorization and Momentum-Space Resummation in Deep-Inelastic Scattering
• The Zero-Bin and Mode Factorization in Quantum Field Theory
• The Rapidity Renormalization Group
• Analytic Results for Virtual QCD Corrections to Higgs Production and Decay
• The Quark Form Factor at Higher Orders
• Renormalization-Group Evolution of the B-Meson Light-Cone Distribution Amplitude
• Analytic Regularization in Soft-Collinear Effective Theory
• Spectator Interactions in Soft-Collinear Effective Theory
• Subleading Power Rapidity Divergences and Power Corrections for $q_T$
• Threshold factorization of the Drell-Yan process at next-to-leading power
• High-Energy Limit of QCD beyond Sudakov Approximation
• Subleading Power Resummation of Rapidity Logarithms: The Energy-Energy Correlator in $\mathcal{N}=4$ SYM
• Next-to-leading power endpoint factorization and resummation for off-diagonal "gluon" thrust
• Factorization at Subleading Power, Sudakov Resummation and Endpoint Divergences in Soft-Collinear Effective Theory
• Subleading Power Factorization with Radiative Functions
• The Soft Quark Sudakov
• Exact quark-mass dependence of the Higgs-gluon form factor at three loops in QCD
• Violation of the Kluberg-Stern--Zuber theorem in SCET
• Large-x resummation of off-diagonal deep-inelastic parton scattering from d-dimensional refactorization
• Factorization at Subleading Power and Endpoint Divergences in $h\to \gamma \gamma$ Decay: II. Renormalization and Scale Evolution
• Two-Loop Radiative Jet Function for Exclusive $B$-Meson and Higgs Decays
• Renormalization and Scale Evolution of the Soft-Quark Soft Function
• Light Quark Mediated Higgs Boson Threshold Production in the Next-to-Leading Logarithmic Approximation
• Muon-electron backward scattering: a prime example for endpoint singularities in SCET
• Radiative Quark Jet Function with an External Gluon
• Exact quark-mass dependence of the Higgs-photon form factor at three loops in QCD
• $m_b$ at $m_H$: the running bottom quark mass and the Higgs boson
• Analyticity, renormalization, and evolution of the soft-quark function

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