Modifications enable off-shell covariance of correlation functions under field redefinitions in massless scalar QFTs, with a geometric view prioritizing observable transformations over metric tensors.
A Geometric Formulation of Higgs Effective Field Theory: Measuring the Curvature of Scalar Field Space
4 Pith papers cite this work. Polarity classification is still indexing.
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abstract
A geometric formulation of Higgs Effective Field Theory (HEFT) is presented. Experimental observables are given in terms of geometric invariants of the scalar sigma model sector such as the curvature of the scalar field manifold $\mathcal M$. We show how the curvature can be measured experimentally via Higgs cross-sections, $W_L$ scattering, and the $S$ parameter. The one-loop action of HEFT is given in terms of geometric invariants of $\mathcal M$. The distinction between the Standard Model (SM) and HEFT is whether $\mathcal M$ is flat or curved, not whether the scalars transform linearly or non-linearly under the electroweak group.
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UNVERDICTED 4representative citing papers
HEFT admits two consistent power counting schemes, one with a single low-energy scale v and one with two scales v < f, each allowing systematic truncation of operators and amplitudes for any normalization choice.
High-energy amplitude ratios for longitudinal di-boson production approach unity in the SM and dimension-6 SMEFT but not necessarily in HEFT, making the W±_L Z_L to W±_L h cross section ratio a promising discriminator between linear and non-linear electroweak symmetry at the HL-LHC.
SMEFT contact terms are decomposed into spurion structures whose coefficients come from higher-order Higgs singlet combinations, with W/Z masses, mixing, and fermion couplings fully saturated by dimension-eight operators.
citing papers explorer
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Geometric Amplitudes: A Covariant Functional Approach for Massless Scalar Theories
Modifications enable off-shell covariance of correlation functions under field redefinitions in massless scalar QFTs, with a geometric view prioritizing observable transformations over metric tensors.
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The Art of Counting: a reappraisal of the HEFT expansion
HEFT admits two consistent power counting schemes, one with a single low-energy scale v and one with two scales v < f, each allowing systematic truncation of operators and amplitudes for any normalization choice.
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Electroweak Restoration: SMEFT and HEFT
High-energy amplitude ratios for longitudinal di-boson production approach unity in the SM and dimension-6 SMEFT but not necessarily in HEFT, making the W±_L Z_L to W±_L h cross section ratio a promising discriminator between linear and non-linear electroweak symmetry at the HL-LHC.
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The Spurion Massive EFT (SMEFT)
SMEFT contact terms are decomposed into spurion structures whose coefficients come from higher-order Higgs singlet combinations, with W/Z masses, mixing, and fermion couplings fully saturated by dimension-eight operators.