A group-theoretic construction yields complete form factor bases for scalar, vector, and tensor operators on spin-1/2 to spin-2 particles, with new P and T structures for higher spins and identification of a redundant conserved structure for spin-2 in existing literature.
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Complete Set of Dimension-8 Operators in the Standard Model Effective Field Theory
Mixed citation behavior. Most common role is background (60%).
12
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60% of classified citations
abstract
We present a complete list of the dimension 8 operator basis in the standard model effective field theory using group theoretic techniques in a systematic and automated way. We adopt a new form of operators in terms of the irreducible representations of the Lorentz group, and identify the Lorentz structures as states in a $SU(N)$ group. In this way, redundancy from equations of motion is absent and that from integration-by-part is treated using the fact that the independent Lorentz basis forms an invariant subspace of the $SU(N)$ group. We also decompose operators into the ones with definite permutation symmetries among flavor indices to deal with subtlety from repeated fields. For the first time, we provide the explicit form of independent flavor-specified operators in a systematic way. Our algorithm can be easily applied to higher dimensional standard model effective field theory and other effective field theories, making these studies more approachable.
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hep-ph 12representative citing papers
A minimal basis with fewer terms and simpler contractions is given for non-derivative baryon-number-violating operators in SMEFT up to mass dimension 11.
Complete positivity bounds for the 22 aQGC coefficients in SMEFT restrict the viable parameter space to approximately 0.0313% of the naive total.
Classification of 440 minimal UV completions for SMEFT dim-9 operators in short-range 0νββ decay, including 324 with vector mediators.
A modular assembly method constructs D-dimensional higher-derivative four-point amplitudes involving fermions from gauge-invariant blocks, color factors, and permutation-invariant scalar polynomials.
Collision-induced QED radiation produces O(1) corrections to DIS cross sections but only few-percent shifts in longitudinal electron spin asymmetries, making asymmetries more robust for SMEFT constraints at SoLID and EIC.
No weak scale triggers exist in the SMEFT up to dimension six (and likely eight) that can solve the hierarchy problem far above the weak scale.
Computes one-loop mixing of bosonic and two-fermion interactions into two-fermion operators in dim-8 SMEFT, leaving only four-fermion to two-fermion mixing to finish the renormalization program.
In SMEFT, the (B-L)-violating decay n → K⁺ℓ⁻ appears at dimension seven while the conserving n → K⁻ℓ⁺ requires dimension ten and is accompanied by lower-dimensional (B+L)-violating modes, so n → Kℓ without modes like p → π⁰ℓ⁺ suggests (B-L) violation.
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.
Higher-order QCD predictions for pp to tW enable three-parameter SMEFT fits that constrain effective new-physics scales to 0.5–2 TeV using LHC Run II and III data.
A review summarizing recent theory, tools, and phenomenology in the Standard Model Effective Field Theory.
citing papers explorer
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Covariant Construction of Generalized Form Factors
A group-theoretic construction yields complete form factor bases for scalar, vector, and tensor operators on spin-1/2 to spin-2 particles, with new P and T structures for higher spins and identification of a redundant conserved structure for spin-2 in existing literature.
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Basis for non-derivative baryon-number-violating operators
A minimal basis with fewer terms and simpler contractions is given for non-derivative baryon-number-violating operators in SMEFT up to mass dimension 11.
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Full positivity bounds for anomalous quartic gauge couplings in SMEFT
Complete positivity bounds for the 22 aQGC coefficients in SMEFT restrict the viable parameter space to approximately 0.0313% of the naive total.
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Complete UV Resonances of SMEFT Dim-9 Operators for Short-range Neutrinoless Double Beta Decay
Classification of 440 minimal UV completions for SMEFT dim-9 operators in short-range 0νββ decay, including 324 with vector mediators.
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$D$-Dimensional Modular Assembly of Higher-Derivative Four-Point Contact Amplitudes Involving Fermions
A modular assembly method constructs D-dimensional higher-derivative four-point amplitudes involving fermions from gauge-invariant blocks, color factors, and permutation-invariant scalar polynomials.
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Impact of QED Radiation on SMEFT Constraints in Deep Inelastic Scattering
Collision-induced QED radiation produces O(1) corrections to DIS cross sections but only few-percent shifts in longitudinal electron spin asymmetries, making asymmetries more robust for SMEFT constraints at SoLID and EIC.
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Weak Scale Triggers in the SMEFT
No weak scale triggers exist in the SMEFT up to dimension six (and likely eight) that can solve the hierarchy problem far above the weak scale.
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Renormalization of the SMEFT to Dimension Eight: Fermionic Interactions II
Computes one-loop mixing of bosonic and two-fermion interactions into two-fermion operators in dim-8 SMEFT, leaving only four-fermion to two-fermion mixing to finish the renormalization program.
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$n \to K\ell$ and the baryon asymmetry of the universe
In SMEFT, the (B-L)-violating decay n → K⁺ℓ⁻ appears at dimension seven while the conserving n → K⁻ℓ⁺ requires dimension ten and is accompanied by lower-dimensional (B+L)-violating modes, so n → Kℓ without modes like p → π⁰ℓ⁺ suggests (B-L) violation.
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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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Constraining dimension-6 SMEFT with higher-order predictions for $p p \to t W$
Higher-order QCD predictions for pp to tW enable three-parameter SMEFT fits that constrain effective new-physics scales to 0.5–2 TeV using LHC Run II and III data.
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Recent Developments in SMEFT: Theory, Tools, and Phenomenology
A review summarizing recent theory, tools, and phenomenology in the Standard Model Effective Field Theory.