Positivity and unitarity constraints on dipole gluon distributions

Abstract

In the high-energy domain, gluon transverse-momentum dependent distributions in nuclei obey constraints coming from positivity and unitarity of the colorless QCD dipole distributions through Fourier-Bessel transformations. Using mathematical properties of Fourier-positive functions, we investigate the nature of these constraints which apply to dipole model building and formulation

arXiv comment11 pages, 2 figures, Dedicated to Andrzej Bialas in honor of his 80th birthday

References in corpus (62)

• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• The Minimal Composite Higgs Model
• Higgs mass and vacuum stability in the Standard Model at NNLO
• Electroweak symmetry breaking from dimensional deconstruction
• Investigating the near-criticality of the Higgs boson
• The Twin Higgs: Natural Electroweak Breaking from Mirror Symmetry
• Geometric scaling for the total gamma^* p cross section in the low x region
• Universality of Unintegrated Gluon Distributions at small x
• A Keck/DEIMOS spectroscopic survey of faint Galactic satellites: searching for the least massive dwarf galaxies
• Folded Supersymmetry and the LEP Paradox
• Phenomenology of a 750 GeV Singlet
• Composite Models for the 750 GeV Diphoton Excess
• kt-factorization for Hard Processes in Nuclei
• Collinearly-improved BK evolution meets the HERA data
• Scattering Light by Light at 750 GeV at the LHC
• Singlet Scalar Resonances and the Diphoton Excess
• Twin SUSY
• Diphoton Signatures from Heavy Axion Decays at the CERN Large Hadron Collider
• A Supersymmetric Twin Higgs
• Doubling down on naturalness with a supersymmetric twin Higgs
• A 750 GeV Dark Pion: Cousin of a Dark G-parity-odd WIMP
• Quark Seesaw, Vectorlike Fermions and Diphoton Excess
• A hidden confining world on the 750 GeV diphoton excess
• Implication of the 750 GeV diphoton resonance on two-Higgs-doublet model and its extensions with Higgs field
• Indirect Constraints on the Scalar Di-Photon Resonance at the LHC
• Gauged Two Higgs Doublet Model confronts the LHC 750 GeV di-photon anomaly
• Higgs Stability and the 750 GeV Diphoton Excess
• 750 GeV Diphoton Resonance, 125 GeV Higgs and Muon g-2 Anomaly in Deflected Anomaly Mediation SUSY Breaking Scenario
• Running after Diphoton
• LHC diphoton 750 GeV resonance as an indication of $SU(3{)}_c\times SU(3{)}_L\times U(1{)}_X$ gauge symmetry
• Di-photon Excess Explained by a Resonant Sneutrino in R-parity Violating Supersymmetry
• Interpreting the 750 GeV diphoton excess in minimal extensions of Two-Higgs-Doublet models
• Diphoton excess at 750 GeV: Singlet scalars confront triviality
• 750 GeV diphotons from closed string states
• Double protection of the Higgs potential
• 750 GeV Diphoton Resonance from Singlets in an Exceptional Supersymmetric Standard Model
• Two Higgs doublets to explain the excesses $pp\to \gamma \gamma (750\mathrm{GeV})$ and $h\to {\tau }^{\pm }{\mu }^{\mp }$
• Electroweak symmetry breaking in supersymmetric models with heavy scalar superpartners
• 750 GeV Diphotons: Implications for Supersymmetric Unification
• A QCD dipole formalism for forward-gluon production
• The 750 GeV diphoton resonance as a singlet scalar in an extra dimensional model
• Explaining 750 GeV diphoton excess from top/bottom partner cascade decay in two-Higgs-doublet model extension
• An extension of two-Higgs-doublet model and the excesses of 750 GeV diphoton, muon g-2 and $h\to \mu \tau$
• The Diphoton Excess from an Exceptional Supersymmetric Standard Model
• Generalized Zee-Babu model with 750 GeV Diphoton Resonance
• Realizing Dark Matter and Higgs Inflation in Light of LHC Diphoton Excess
• An O(750) GeV Resonance and Inflation
• 750 GeV Diphoton excess from $E_6$ in F-theory GUTs
• Detecting underabundant neutralinos
• Probing degenerate heavy Higgs bosons in NMSSM with vector-like particles
• 750 GeV Resonance in the Gauged $U(1{)}^{\prime }$-Extended MSSM
• Vector-Like Exotics in F-Theory and 750 GeV Diphotons
• The $750\text{GeV}$ diphoton resonance in the light of a 2HDM with $S_3$ flavour symmetry
• Top-phobic heavy Higgs boson as the 750 GeV diphoton resonance
• The Diphoton Excess Inspired Electroweak Baryogenesis
• A Composite Model for the 750 GeV Diphoton Excess
• Diphoton excess at 750 GeV and LHC constraints in models with vector-like particles
• Diphoton Excess and Running Couplings
• On the maximal diphoton width
• Interpreting the 750 GeV diphoton excess in the Minimal Dilaton Model
• Implications of the 750 GeV Diphoton Excess in Gaugino Mediation
• On the positivity of Fourier transforms