Soft Collinear Effective Theory for Heavy WIMP Annihilation

Abstract

In a large class of models for Weakly Interacting Massive Particles (WIMPs), the WIMP mass $M$ lies far above the weak scale $m_W$. This work identifies universal Sudakov-type logarithms $\sim \alpha {\log }^2(2M/m_W)$ that spoil the naive convergence of perturbation theory for annihilation processes. An effective field theory (EFT) framework is presented, allowing the systematic resummation of these logarithms. Another impact of the large separation of scales is that a long-distance wave-function distortion from electroweak boson exchange leads to observable modifications of the cross section. Careful accounting of momentum regions in the EFT allows the rigorously disentanglement of this so-called Sommerfeld enhancement from the short distance hard annihilation process. The WIMP is modeled as a heavy-particle field, while the light, energetic, final-state electroweak gauge bosons are treated as soft and collinear fields. Hard matching coefficients are computed at renormalization scale $\mu \sim 2M$, then evolved down to $\mu \sim m_W$, where electroweak symmetry breaking is incorporated and the matching onto the relevant quantum mechanical Hamiltonian is performed. The example of an $SU(2{)}_W$ triplet scalar dark matter candidate annihilating to line photons is used for concreteness, allowing the numerical exploration of the impact of next-to-leading order corrections and log resummation. For $M\simeq 3$ TeV, the resummed Sommerfeld enhanced cross section is reduced by a factor of $\sim 3$ with respect to the tree-level fixed order result.

arXiv comment49 pages, 12 figures. v2: minor changes, typos fixed

References in corpus (88)

• Particle Dark Matter: Evidence, Candidates and Constraints
• Big-Bang Nucleosynthesis
• A Theory of Dark Matter
• An effective field theory for collinear and soft gluons: heavy to light decays
• Heavy Quark Symmetry
• Out Of This World Supersymmetry Breaking
• Soft-Collinear Factorization in Effective Field Theory
• Gaugino Mass without Singlets
• Minimal Dark Matter
• Precision Corrections in the Minimal Supersymmetric Standard Model
• Summing Sudakov logarithms in B -> X_s + gamma in effective field theory
• Supersymmetric Unification Without Low Energy Supersymmetry And Signatures for Fine-Tuning at the LHC
• Invariant Operators in Collinear Effective Theory
• Implication of neutrino backgrounds on the reach of next generation dark matter direct detection experiments
• Soft-collinear effective theory and heavy-to-light currents beyond leading power
• Wino Cold Dark Matter from Anomaly-Mediated SUSY Breaking
• Cosmology and Astrophysics of Minimal Dark Matter
• Non-Perturbative Effect on Dark Matter Annihilation and Gamma Ray Signature from Galactic Center
• The Well-Tempered Neutralino
• Non-perturbative Effect on Thermal Relic Abundance of Dark Matter
• A Formalism for the Systematic Treatment of Rapidity Logarithms in Quantum Field Theory
• Explosive Dark Matter Annihilation
• On the Structure of Infrared Singularities of Gauge-Theory Amplitudes
• Drell-Yan production at small q_T, transverse parton distributions and the collinear anomaly
• Weak Corrections are Relevant for Dark Matter Indirect Detection
• Mini-Split
• Neutralino with the Right Cold Dark Matter Abundance in (Almost) Any Supersymmetric Model
• PeV-Scale Supersymmetry
• The Rapidity Renormalization Group
• The Lightest Higgs Boson Mass in Pure Gravity Mediation Model
• Search for photon line-like signatures from Dark Matter annihilations with H.E.S.S
• Split Supersymmetry
• In Wino Veritas? Indirect Searches Shed Light on Neutralino Dark Matter
• Search for dark matter and large extra dimensions in monojet events in pp collisions at sqrt(s) = 7 TeV
• Minimal Dark Matter: model and results
• Neutralino Dark Matter at 14 and 100 TeV
• Infrared singularities of QCD amplitudes with massive partons
• Prospects and Blind Spots for Neutralino Dark Matter
• Soft radiation in heavy-particle pair production: all-order colour structure and two-loop anomalous dimension
• Wino Dark Matter Under Siege
• Minimal Dark Matter predictions for galactic positrons, anti-protons, photons
• Search for dark matter in events with a hadronically decaying W or Z boson and missing transverse momentum in pp collisions at sqrt(s)=8 TeV with the ATLAS detector
• Search for charginos nearly mass-degenerate with the lightest neutralino based on a disappearing-track signature in pp collisions at sqrt(s) = 8 TeV with the ATLAS detector
• Reparameterization Invariance for Collinear Operators
• Simply Unnatural Supersymmetry
• A Non-thermal WIMP Miracle
• Unitarity and Higher-Order Corrections in Neutralino Dark Matter Annihilation into Two Photons
• Singlet-Doublet Dark Matter
• Search for Dark Matter and Large Extra Dimensions in pp Collisions Yielding a Photon and Missing Transverse Energy
• Direct Detection of Electroweak-Interacting Dark Matter
• Collinear effective theory at subleading order and its application to heavy-light currents
• Factorization and NNLL Resummation for Higgs Production with a Jet Veto
• Spectator Interactions in Soft-Collinear Effective Theory
• Spread Supersymmetry with Wino LSP: Gluino and Dark Matter Signals
• Universal behavior in the scattering of heavy, weakly interacting dark matter on nuclear targets
• Electroweak Gauge-Boson Production at Small q_T: Infrared Safety from the Collinear Anomaly
• Vectorlike Confinement at the LHC
• Relic densities including Sommerfeld enhancements in the MSSM
• WIMP-nucleon scattering with heavy WIMP effective theory
• Search for dark matter in events with a Z boson and missing transverse momentum in pp collisions at $\sqrt{s}$=8 TeV with the ATLAS detector
• Comparing and Counting Logs in Direct and Effective Methods of Resummation
• Searches for electroweak neutralino and chargino production in channels with Higgs, Z, and W bosons in pp collisions at 8 TeV
• Electroweak Corrections in High Energy Processes using Effective Field Theory
• Dark Matter in the Finely Tuned Minimal Supersymmetric Standard Model
• Weakly Interacting Stable Pions
• Electroweak Sudakov Corrections using Effective Field Theory
• Heavy Dark Matter Annihilation from Effective Field Theory
• Electroweak symmetry breaking and cold dark matter from strongly interacting hidden sector
• The one-loop and Sommerfeld electroweak corrections to the Wino dark matter annihilation
• The NRQED lagrangian at order 1/M^4
• Electroweak Corrections using Effective Field Theory: Applications to the LHC
• Standard Model anatomy of WIMP dark matter direct detection I: weak-scale matching
• Indirect Detection Analysis: Wino Dark Matter Case Study
• Factorization and Resummation for Jet Broadening
• The State of Supersymmetry after Run I of the LHC
• On the Annihilation Rate of WIMPs
• Wino-like Minimal Dark Matter and future colliders
• iTIMP: isotriplet Technicolor Interacting Massive Particle as Dark Matter
• Soft-Collinear Messengers: A New Mode in Soft-Collinear Effective Theory
• Supersymmetry, Nonthermal Dark Matter and Precision Cosmology
• Power Counting in the Soft-Collinear Effective Theory
• Higgs Mass Prediction for Realistic String/M Theory Vacua
• Non-cancellation of electroweak logarithms in high-energy scattering
• Non-relativistic pair annihilation of nearly mass degenerate neutralinos and charginos II. P-wave and next-to-next-to-leading order S-wave coefficients
• Order (alpha^2 Gamma, alpha^3 Gamma) Binding Effects in Orthopositronium Decay
• External Operators and Anomalous Dimensions in Soft-Collinear Effective Theory
• Planning the Future of U.S. Particle Physics (Snowmass 2013): Chapter 3: Energy Frontier
• Planning the Future of U.S. Particle Physics (Snowmass 2013): Chapter 4: Cosmic Frontier

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