Two-loop dimension Six Effective Action: Integrating Out Heavy Scalar
arXiv:2501.01313 · doi:10.1016/j.nuclphysb.2025.117273
Abstract
For the first time, we present the model-independent two-loop effective action up to dimension six after integrating out heavy scalar(s) employing the Heat-Kernel method. We compute the effective operators that emerge at two-loop for two example models: heavy electroweak complex Triplet and Doublet scalars. We present our results on the SILH basis. We also capture the effect in the fermion sector. For these two scenarios, we compute all the fermionic effective operators up to dimension six.
36 pages, 1 figure, 5 tables, typos are corrected
References in corpus (61)
- Theory and phenomenology of two-Higgs-doublet models
- Dimension-Six Terms in the Standard Model Lagrangian
- Heat kernel expansion: user's manual
- The Strongly-Interacting Light Higgs
- The Standard Model as an Effective Field Theory
- Neutrino Masses and the LHC: Testing Type II Seesaw
- Updated Global SMEFT Fit to Higgs, Diboson and Electroweak Data
- Dimension-8 Operators in the Standard Model Effective Field Theory
- The SMEFTsim package, theory and tools
- Top, Higgs, Diboson and Electroweak Fit to the Standard Model Effective Field Theory
- The Higgs Potential in the Type II Seesaw Model
- Extending the Standard Model Effective Field Theory with the Complete Set of Dimension-7 Operators
- A Monte Carlo global analysis of the Standard Model Effective Field Theory: the top quark sector
- Conditions for CP-Violation in the General Two-Higgs-Doublet Model
- O new physics, where art thou? A global search in the top sector
- Symmetries of Two Higgs Doublet Model and CP violation
- Operator bases, -matrices, and their partition functions
- Low-derivative operators of the Standard Model effective field theory via Hilbert series methods
- The Universal One-Loop Effective Action
- CoDEx: Wilson coefficient calculator connecting SMEFT to UV theory
- Integrating out heavy particles with functional methods: a simplified framework
- The Standard Model effective field theory at work
- A Proof of Concept for Matchete: An Automated Tool for Matching Effective Theories
- Covariant diagrams for one-loop matching
- Mixed Heavy-Light Matching in the Universal One-Loop Effective Action
- Extending the Universal One-Loop Effective Action: Heavy-Light Coefficients
- MatchingTools: a Python library for symbolic effective field theory calculations
- BasisGen: automatic generation of operator bases
- One-loop effective lagrangians after matching
- An explicit construction of the dimension-9 operator basis in the standard model effective field theory
- Heat Kernel Approach in Quantum Field Theory
- Operator Bases in Effective Field Theories with Sterile Neutrinos:
- Completing the scalar and fermionic Universal One-Loop Effective Action
- Enumerating the operators of an effective field theory
- DEFT: A program for operators in EFT
- The Fermionic Universal One-Loop Effective Action
- STrEAMlining EFT Matching
- Functional Prescription for EFT Matching
- SuperTracer: A Calculator of Functional Supertraces for One-Loop EFT Matching
- Role of dimension-eight operators in an EFT for the 2HDM
- Integrating Out New Fermions at One Loop
- Integrating out heavy fields in the path integral using the background-field method: general formalism
- Standard Model Effective Field Theory up to Mass Dimension 12
- Effective Field Theory with Two Higgs Doublets
- Exploding operators for Majorana neutrino masses and beyond
- ..., 83106786, 114382724, 1509048322, 2343463290, 27410087742, ... Efficient Hilbert Series for Effective Theories
- Type-III two Higgs doublet model plus a pseudoscalar confronted with , muon and dark matter
- Type II Seesaw Leptogenesis
- Characters and Group Invariant Polynomials of (Super)fields: Road to "Lagrangian"
- On the effective action for scalars in a general manifold to any loop order
- Hilbert Series and Plethystics: Paving the path towards 2HDM- and MLRSM-EFT
- Large Mass Invariant Asymptotics of the Effective Action
- Mapping the SMEFT to discoverable models
- Effective Operator Bases for Beyond Standard Model Scenarios: An EFT compendium for discoveries
- The Bottom-Up EFT: Complete UV Resonances of the SMEFT Operators
- EFT Diagrammatica II: Tracing the UV origin of bosonic D6 CPV and D8 SMEFT operators
- Proper-time method for unequal masses
- Relaxed constraints on the heavy scalar masses in 2HDM
- New Covariant Feynman Rules for Effective Field Theories
- Veltman Criteria in Beyond Standard Model Effective Field Theory of Complex Scalar Triplet
- Uncovering the Root of LEFT in SMEFT