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We present the universal one-loop effective action up to dimension eight after integrating out heavy fermion(s) using the Heat-Kernel method. We have discussed how the Dirac operator being a weak elliptic operator, the fermionic operator…

High Energy Physics - Phenomenology · Physics 2023-08-09 Joydeep Chakrabortty , Shakeel Ur Rahaman , Kaanapuli Ramkumar

We propose a Heat-Kernel-based method to compute one-loop effective action up to any mass-dimension with arbitrary numbers of non-degenerate scalars and fermions. We demonstrate our prescription by computing the dimension six effective…

High Energy Physics - Phenomenology · Physics 2023-11-22 Upalaparna Banerjee , Joydeep Chakrabortty , Shakeel Ur Rahaman , Kaanapuli Ramkumar

We present the complete one-loop effective action up to dimension eight after integrating out degenerate scalars using the Heat-Kernel method. The result is provided without assuming any specific form of either UV or low energy theories,…

High Energy Physics - Phenomenology · Physics 2023-06-16 Upalaparna Banerjee , Joydeep Chakrabortty , Shakeel Ur Rahaman , Kaanapuli Ramkumar

We outline a proposal, based on the Heat-Kernel method, to compute 1PI effective action up to any loop order for quantum field theory with scalar and fermion fields. We algebraically extract the divergences associated with the composite…

High Energy Physics - Theory · Physics 2024-04-04 Upalaparna Banerjee , Joydeep Chakrabortty , Kaanapuli Ramkumar

On the basis of a new approach proposed in our previous work we develope a formalism for calculating of the effective action for some models containing fermion fields. This method allows us to calculate the fermionic part of the effective…

High Energy Physics - Theory · Physics 2015-06-26 B. A. Faizullaev , M. M. Musakhanov

The Standard Model Effective Field Theory (SMEFT) provides a robust framework for probing deviations in the couplings of Standard Model particles from their theoretical predictions. This framework relies on an expansion in…

High Energy Physics - Phenomenology · Physics 2025-01-22 Nilabhra Adhikary , Tisa Biswas , Joydeep Chakrabortty , Christoph Englert , Michael Spannowsky

For a three-dimensional higher-derivative scalar superfield model, and a four-dimensional higher-derivative chiral superfield model, where which the higher-derivative operators are described by polynomials of arbitrary degrees, we…

High Energy Physics - Theory · Physics 2021-01-18 F. S. Gama , J. R. Nascimento , A. Yu. Petrov

We revise the calculation of the one-loop effective action for scalar and spinor fields coupled to the dilaton in two dimensions. Applying the method of covariant perturbation theory for the heat kernel we derive the effective action in an…

High Energy Physics - Theory · Physics 2016-09-06 Yu. V. Gusev , A. I. Zelnikov

We present the universal one-loop effective action for all operators of dimension up to six obtained by integrating out massive, non-degenerate multiplets. Our general expression may be applied to loops of heavy fermions or bosons, and has…

High Energy Physics - Phenomenology · Physics 2016-04-20 Aleksandra Drozd , John Ellis , Jérémie Quevillon , Tevong You

In this paper we continue and improve the analysis of the effective actions obtained by integrating out a scalar and a fermion field coupled to external symmetric sources, started in the previous paper. The first subject we study is the…

High Energy Physics - Theory · Physics 2018-02-14 L. Bonora , M. Cvitan , P. Dominis Prester , S. Giaccari , T. Štemberga

The two-loop Euler-Heisenberg-type effective action for N = 1 supersymmetric QED is computed within the background field approach. The background vector multiplet is chosen to obey the constraints D_\a W_\b = D_{(\a} W_{\b)} = const, but is…

High Energy Physics - Theory · Physics 2010-10-27 Sergei M. Kuzenko , Simon J. Tyler

We extend Schwinger's proper-time formalism to provide a method for computing the one-loop effective action for both spinor and scalar quantum electrodynamics in $d=2n>4$ dimensions. The closed form expression for the six-dimensional…

High Energy Physics - Theory · Physics 2026-04-16 Terry Hatzis , Sergei M. Kuzenko

We use the on-shell S-matrix and form factors to compute anomalous dimensions of higher dimension operators in the Standard Model Effective Field Theory. We find that in many instances, these computations are made simple by using the…

High Energy Physics - Phenomenology · Physics 2020-12-21 Joan Elias Miró , James Ingoldby , Marc Riembau

In the no-core shell model formalism we compute effective one- and two-body operators, using the Lee-Suzuki procedure within the two-body cluster approximation. We evaluate the validity of the latter through calculations in reduced model…

Nuclear Theory · Physics 2007-05-23 Ionel Stetcu , Bruce R. Barrett , Petr Navratil , Calvin W. Johnson

We compute the dimension 6 effective Lagrangian arising from the tree level integration of an arbitrary number of bulk fermions in models with warped extra dimensions. The coefficients of the effective operators are written in terms of…

High Energy Physics - Phenomenology · Physics 2012-03-14 Adrian Carmona , Jose Santiago

We present the fermionic universal one--loop effective action obtained by integrating out heavy vector--like fermions at one loop using functional techniques. Even though previous approaches are able to handle integrating out heavy fermions…

High Energy Physics - Phenomenology · Physics 2021-02-03 Andrei Angelescu , Peisi Huang

We study several problems related to the construction and the use of effective Lagrangians by considering an extension of the standard model that includes a heavy scalar singlet coupled to the leptonic doublet. Starting from the full…

High Energy Physics - Phenomenology · Physics 2009-10-22 Mikhail Bilenky , Arcadi Santamaria

This article displays a proof of concept of the mixed analytical/numerical method, presented in previous publications, to compute two-loop functions with up to five massive propagators in a scalar theory having three- and four-leg vertices…

High Energy Physics - Phenomenology · Physics 2021-09-15 J. Ph. Guillet , E. Pilon , Y. Shimizu , M. S. Zidi

We derive the complete set of two-loop anomalous dimensions describing the mixing of four-fermion operators in the Low Energy Effective Field Theory (LEFT). The calculation is performed in Naive Dimensional Regularization with anticommuting…

High Energy Physics - Phenomenology · Physics 2026-05-08 Jason Aebischer , Pol Morell , Marko Pesut , Javier Virto

We develop a heat kernel method to compute the one-loop effective action for a general class of nonlinear electrodynamic (NLED) theories in four dimensional Minkowski spacetime. Working in the background field formalism, we extract the…

High Energy Physics - Theory · Physics 2026-05-22 Evgeny I. Buchbinder , Darren T. Grasso , Joshua R. Pinelli
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