## Heavy WIMP Effective Theory: Formalism and Applications for Scattering on Nucleon TargetsThis book is about dark matter’s particle nature and the implications of a new symmetry that appears when a hypothetical dark matter particle is heavy compared to known elementary particles. Dark matter exists and composes about 85% of the matter in the universe, but it cannot be explained in terms of the known elementary particles. Discovering dark matter's particle nature is one of the most pressing open problems in particle physics. This thesis derives the implications of a new symmetry that appears when the hypothetical dark matter particle is heavy compared to the known elementary particles, a situation which is well motivated by the null results of searches at the LHC and elsewhere. The new symmetry predicts a universal interaction between dark matter and ordinary matter, which in turn may be used to determine the event rate and detectable energy in dark matter direct detection experiments. The computation of heavy wino and higgsino dark matter presented in this work has become a benchmark for the field of direct detection. This thesis has also spawned a new field of investigation in dark matter indirect detection, determining heavy WIMP annihilation rates using effective field theory methods. It describes a new formalism for implementing Lorentz invariance constraints in nonrelativistic theories, with a surprising result at 1/M^4 order that contradicts the prevailing ansatz in the past 20 years of heavy quark literature. The author has also derived new perturbative QCD results to provide the definitive analysis of key Standard Model observables such as heavy quark scalar matrix elements of the nucleon. This is an influential thesis, with impacts in dark matter phenomenology, field theory formalism and precision hadronic physics. |

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### Contents

1 | |

2 HeavyParticle Spacetime Symmetries and Building Blocks | 13 |

3 Effective Theory at the WeakScale | 48 |

4 WeakScale Matching | 77 |

5 QCD Analysis and Hadronic Matrix Elements | 119 |

6 Heavy WIMPNucleon Scattering Cross Sections | 135 |

7 Conclusions | 147 |

Solution to the Invariance Equation | 150 |

Integrals and Inputs for Weak Scale Matching | 157 |

172 | |

References | 175 |

### Other editions - View all

Heavy WIMP Effective Theory: Formalism and Applications for Scattering on ... Mikhail P. Solon No preview available - 2016 |

Heavy Wimp Effective Theory: Formalism and Applications for Scattering on ... MIKHAIL P. SOLON No preview available - 2018 |

### Common terms and phrases

amplitudes arbitrary boost bosons computation constraints construction contributions corrections dark matter degrees of freedom derivatives dimension eigenstates electroweak scale evaluation field redefinitions full theory gauge field gluon gluon operators hadronic heavy fermion heavy particle effective heavy particle Lagrangians heavy quark thresholds heavy WIMP effective heavy WIMP limit Higgs Higgs boson inputs integrals interactions Lagrangian Lorentz group Lorentz invariance low-energy M.P. Solon Majorana fermion mass eigenstates matching coefficients matching conditions matrix elements NRQED nucleon obtained parameters particle effective theory Phys polarization tensors proton quantum numbers quark flavors quark mass quarks and gluons relevant renormalization group residual mass scalar and tensor ſcº Sect self-conjugate singlet singlet-doublet ſº spin spin-independent Standard Model symmetry threshold matching top quark two-boson exchange uncertainties vector weak scale weak-scale matching WIMP effective theory WIMP-nucleon scattering