Renormalization group evolution of Higgs effective field theory

Alonso, Rodrigo; Kanshin, K.; Saa, S.

doi:10.1103/physrevd.97.035010

Cited by 39 publications

(41 citation statements)

References 47 publications

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“…The previous results agree with the scalar sector contribution to the one-loop anomalous dimensions of the Higgs-electroweak EFT [25][26][27]. As an additional cross-check of the previous equation, one can apply it to the SU(2) linear sigma model [28], defined by the Lagrangian:…”

Section: Results For Su (2) and Su (3)supporting

confidence: 67%

Chiral effective theories with a light scalar at one loop

Catà

Müller

2020

Nuclear Physics B

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There are indications that some theories with spontaneous symmetry breaking also feature a light scalar in their spectrum, with a mass comparable to the one of the Goldstone modes. In this paper, we compute the one-loop counterterms of a theory of Goldstone modes invariant under a chiral SU (n) × SU (n) symmetry group coupled to a generic scalar singlet. We employ the background field method, together with the heat kernel expansion, to get an expression for the effective action at one loop and single out the anomalous dimensions, which can be read off from the second Seeley-DeWitt coefficient. As a relevant application, we use our master formula to renormalize chiral-scale perturbation theory, an alternative to SU (3) chiral perturbation theory where the f 0 (500) meson is interpreted as a dilaton. Based on our results, we briefly discuss strategies to test and discern both effective field theories using lattice simulations.

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Section: Results For Su (2) and Su (3)supporting

confidence: 67%

Chiral effective theories with a light scalar at one loop

Catà

Müller

2020

Nuclear Physics B

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“…The flatness of the scalar manifold at the vacuum (103) also automatically guarantees the absence of the divergences in the anomalous triple gauge boson operators. These findings are in accord with the general expectations on the connections between perturbative unitarity and the absence of new counterterms in the one-loop divergences and also with the explicit heat kernel computations presented in Refs [79,81,82,96,97]…”

supporting

confidence: 91%

Symmetry and geometry in a generalized Higgs effective field theory: Finiteness of oblique corrections versus perturbative unitarity

et al. 2019

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We formulate a generalization of Higgs effective field theory (HEFT) including arbitrary number of extra neutral and charged Higgs bosons (generalized HEFT, GHEFT) to describe non-minimal electroweak symmetry breaking models. Using the geometrical form of the GHEFT Lagrangian, which can be regarded as a nonlinear sigma model on a scalar manifold, it is shown that the scalar boson scattering amplitudes are described in terms of the Riemann curvature tensor (geometry) of the scalar manifold and the covariant derivatives of the potential. The coefficients of the one-loop divergent terms in the oblique correction parameters S and U can also be written in terms of the Killing vectors (symmetry) and the Riemann curvature tensor (geometry). It is found that perturbative unitarity of the scattering amplitudes involving the Higgs bosons and the longitudinal gauge bosons demands the flatness of the scalar manifold. The relationship between the finiteness of the electroweak oblique corrections and perturbative unitarity of the scattering amplitudes is also clarified in this language: we verify that once the tree-level unitarity is ensured, then the one-loop finiteness of the oblique correction parameters S and U is automatically guaranteed. *

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“…where the operators are not ordered according to their canonical dimensions and one must use instead the chiral dimensiond which reflects their infrared behavior at low momenta [39]. Quantum loops are renormalized order by order [41][42][43] in this lowenergy expansion. It is interesting to spotlight two features related to this power counting, which differ from previous works [25,34,35]:…”

Section: The Low-energy Effective Theory 21 Constructing the Effectimentioning

confidence: 99%

Colorful imprints of heavy states in the electroweak effective theory

Krause

Pich

Rosell

et al. 2019

J. High Energ. Phys.

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We analyze heavy states from generic ultraviolet completions of the Standard Model in a model-independent way and investigate their implications on the low-energy couplings of the electroweak effective theory. We build a general effective Lagrangian, implementing the electroweak symmetry breaking SU (2) L ⊗ SU (2) R → SU (2) L+R with a non-linear Nambu-Goldstone realization, which couples the known particles to the heavy states. We generalize the formalism developed in previous works [1,2] to include colored resonances, both of bosonic and fermionic type. We study bosonic heavy states with J P = 0 ± and J P = 1 ± , in singlet or triplet SU (2) L+R representations and in singlet or octet representations of SU (3) C , and fermionic resonances with J = 1 2 that are electroweak doublets and QCD triplets or singlets. Integrating out the heavy scales, we determine the complete pattern of low-energy couplings at the lowest non-trivial order. Some specific types of (strongly-and weakly-coupled) ultraviolet completions are discussed to illustrate the generality of our approach and to make contact with current experimental searches.

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Renormalization group evolution of Higgs effective field theory

Cited by 39 publications

References 47 publications

Chiral effective theories with a light scalar at one loop

Chiral effective theories with a light scalar at one loop

Symmetry and geometry in a generalized Higgs effective field theory: Finiteness of oblique corrections versus perturbative unitarity

Colorful imprints of heavy states in the electroweak effective theory

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