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Article
Physics, Particles & Fields
Reuven Balkin et al.
Summary: We study the on-shell version of the Higgs mechanism in effective theories (EFTs) containing particles of different spins, focusing on contact terms as a simple starting point. We derive the massive contact terms and their coefficients from the massless amplitudes of the EFT above the symmetry breaking scale, by covariantizing the massless contact terms under the massive little group. In the little-group-covariant massive-spinor formalism, this notationally amounts to bolding spinor labels. Mass-suppressed contributions to the contact-term coefficients arise from higher-point contact terms with additional soft Higgs legs. We apply this procedure to obtain massive four-point amplitudes featuring scalars, spin 1/2 fermions, and vectors, in the standard-model EFT. The subleading helicity-flipped components of each massive contact term, which are dictated by little-group covariance, are associated with the residues of factorizable massless amplitudes. Extra frozen Higgses emitted from each leg of a massless contact term supply the additional light-like momentum component, needed to form a massive leg of the same polarization. As another application, we derive various components of massive three-point amplitudes from massless amplitudes with up to three additional Higgses, in a standard-model-like toy model.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Luigi Delle Rose et al.
Summary: We present a method to simplify the calculation of finite contributions from heavy particles to EFT Wilson coefficients using on-shell methods. We apply this technique to the one-loop calculation of g-2 and H gamma gamma and demonstrate how finite contributions can be obtained from the product of tree-level amplitudes. By exploiting the parity symmetry of these amplitudes, we discover that in certain cases the total contribution adds up to zero, consistent with previous findings. Our method allows for the search of new natural zeros and enables the straightforward determination of non-zero contributions.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Jason Aebischer et al.
Summary: The paper investigates the extension of the Standard Model Effective Field Theory (SMEFT) and Low Energy Effective Field Theory (LEFT) by adding additional dark matter particles. The interactions between these particles and the Standard Model sector are studied up to terms of dimension six. The research finds that dark matter models based on the Higgs portal or kinetic mixing between the photon and a dark photon are viable in a wide range of parameters.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Stefano De Angelis
Summary: This paper presents an efficient algorithm to find a basis of kinematically independent structures built of spinor helicity variables in four dimensions. It provides a classification of independent contact terms for scattering amplitudes in any effective field theory with generic masses, spins, and multiplicity. The method is applied to classify contact terms in specific theories and to analyze spin-tidal effective interactions for massive particles in gravitational theories.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
Minyuan Jiang et al.
Summary: In this study, the generalized partial wave expansion for N -> M scattering amplitude in terms of spinor helicity variables is derived, and the basis amplitudes of the expansion with definite angular momentum j are discussed. Additionally, a series of selection rules are proposed to restrict the anomalous dimension matrix of effective operators.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Particles & Fields
Minyuan Jiang et al.
Summary: The study presents the on-shell method for deriving the RG evolution of Wilson coefficients of high dimensional operators, which is efficient and gives examples of deriving anomalous dimensions at dimension six. The results of contributions from dimension-8 operators to the running of specific operators are also provided.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Manuel Accettulli Huber et al.
Summary: In this work, the authors present the Standard Model Effective Field Theories (SMEFT) using purely on-shell arguments, categorizing all renormalizable and non-renormalizable interactions at lowest order in couplings. They demonstrate how locality and unitarity lead to Lie algebra structures appearing in S-matrix elements and relations among couplings. Additionally, they provide an on-shell algorithm for computing higher-point tree-level amplitudes in generic EFTs and calculate the mixing matrix of SMEFT marginal interactions up to mass dimension 8 linearly.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Nima Arkani-Hamed et al.
Summary: This paper introduces a formalism for describing four-dimensional scattering amplitudes for particles of any mass and spin, extending the familiar spinor-helicity formalism for massless particles. By systematically characterising possible three-particle amplitudes compatible with Poincare symmetry and using unitarity to construct four-particle tree amplitudes, a basis is established for expanding all possible four-particle amplitudes. The analysis of four-particle scattering leads to various general results in quantum field theory, such as the set of consistent theories for massless particles and the understanding of why massive particles of high spin cannot be elementary.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Timothy Cohen et al.
Summary: There are two canonical approaches to treating the Standard Model as an Effective Field Theory (EFT): SMEFT and HEFT. HEFT encompasses SMEFT and concrete criteria can distinguish between the two. Perturbative new physics must be matched onto HEFT in certain scenarios.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Pietro Baratella et al.
Summary: On-shell amplitude methods are efficient for calculating anomalous dimensions, with the use of angular momentum decomposition simplifying one-loop anomalous dimensions into a sum of products of partial waves. Applying this to SM EFT reveals certain classes of anomalous dimensions originating from the same partial-wave coefficients. Additionally, a generic formula for one-loop anomalous dimensions of nonlinear sigma models at any order in the energy expansion is obtained, and the method is applied to gravity, proving advantageous even in the presence of IR divergencies.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Multidisciplinary
Adam Falkowski et al.
Summary: The study applies on-shell amplitude techniques to the domain of dark matter, defining an effective theory for a massive spin-S particle without invoking fields and Lagrangians. This simplifies the study of theories with higher-spin dark matter particles and provides an efficient way to calculate the rates of processes controlling dark matter production. The methods are demonstrated by exploring scenarios where higher-spin dark matter is produced via the freeze-in mechanism.
Article
Astronomy & Astrophysics
Hao-Lin Li et al.
Summary: Utilizing group theoretic techniques, we have systematically and automatically provided a complete list of the dimension-eight operator basis in the standard model effective field theory, adopting a new form of operators based on the irreducible representations of the Lorentz group and identifying Lorentz structures as states in an SU(N) group. By ensuring the independence and permutation symmetries of the operators, our approach facilitates the handling of complexity arising from repeated fields. The explicit form of independent flavor-specified operators has been presented for the first time, and our algorithm can be easily applied to higher-dimensional standard model effective field theory and other effective field theories, making these studies more accessible.
Article
Physics, Particles & Fields
Pietro Baratella et al.
Article
Physics, Particles & Fields
Joan Elias Miro et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
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Physics, Particles & Fields
Gauthier Durieux et al.
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(2020)
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Physics, Particles & Fields
Zvi Bern et al.
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(2020)
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Physics, Particles & Fields
Gauthier Durieux et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
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Physics, Particles & Fields
Yael Shadmi et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
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Physics, Particles & Fields
Adam Falkowski et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
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Astronomy & Astrophysics
Brian Henning et al.
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Physics, Particles & Fields
Elizabeth E. Jenkins et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2018)
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Physics, Particles & Fields
Clifford Cheung et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2017)
Article
Astronomy & Astrophysics
Ian Low
Article
Astronomy & Astrophysics
Ian Low
Article
Physics, Multidisciplinary
Clifford Cheung et al.
PHYSICAL REVIEW LETTERS
(2015)
Article
Physics, Multidisciplinary
Clifford Cheung et al.
PHYSICAL REVIEW LETTERS
(2015)
Article
Physics, Nuclear
Eugenio Del Nobile et al.
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
(2012)
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Jia-Ming Zheng et al.
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Hao Zhang et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2011)
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Jessica Goodman et al.
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Henriette Elvang et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2010)
Article
Physics, Mathematical
E Witten
COMMUNICATIONS IN MATHEMATICAL PHYSICS
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