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These lectures provide an introduction to the basic ideas and methods of Effective Field Theory, and a description of a few interesting phenomenological applications in particle physics. The main conceptual foundations are discussed in…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Pich

Using techniques of effective field theory, we consider the thermodynamical properties of a dilute two-dimensional plasma interacting via a $1/r$ potential. The first one-loop correction to the partition function is already logarithmically…

Plasma Physics · Physics 2008-11-26 Manuel A. Valle Basagoiti

A resolution over the existence of magnetic charges has eluded the high energy physics community for centuries, and their search has gained momentum as recent models predict these may be observable at current colliders. They appear in field…

High Energy Physics - Phenomenology · Physics 2019-05-23 Stephanie Baines

In this work we use the framework of effective field theory to couple Einstein's gravity to scalar electrodynamics and determine the renormalization of the model through the study of physical processes below Planck scale, a realm where…

High Energy Physics - Theory · Physics 2016-04-14 L. Ibiapina Bevilaqua , A. C. Lehum , A. J. da Silva

A new effective field theory has been developed to describe shallow $P$-wave resonances using nonlocal, momentum-dependent two-body potentials. This approach is expected to facilitate many-body calculations and has been demonstrated to…

Nuclear Theory · Physics 2023-09-04 Qingfeng Li , Songlin Lyu , Chen Ji , Bingwei Long

We discuss the power counting for effective field theories with narrow resonances near a two-body threshold. Close to threshold, the effective field theory is perturbative and only one combination of coupling constants is fine-tuned. In the…

Nuclear Theory · Physics 2009-11-10 P. F. Bedaque , H. -W. Hammer , U. van Kolck

I briefly summarized some recent work which uses the techniques of effective field theory to make quantum predictions in general relativity. In contrast to conventional expectations, these are in fact well behaved. The leading quantum…

High Energy Physics - Phenomenology · Physics 2007-05-23 John F. Donoghue

The geometry of field space governs on-shell scattering amplitudes. We formulate a geometric description of effective field theories which extends previous results for scalars and gauge fields to fermions. The field-space geometry…

High Energy Physics - Phenomenology · Physics 2023-07-07 Benoît Assi , Andreas Helset , Aneesh V. Manohar , Julie Pagès , Chia-Hsien Shen

Effective Field Theory (EFT) is an efficient method for parametrizing unknown high energy physics effects on low energy data. When applied to time-dependent backgrounds, EFT must be supplemented with initial conditions. In these…

High Energy Physics - Theory · Physics 2007-05-23 M. Porrati

We illustrate how effective field theories work in nuclear physics by using an effective Lagrangian in which all other degrees of freedom than the nucleonic one have been integrated out to calculate the low-energy properties of two-nucleon…

High Energy Physics - Phenomenology · Physics 2008-11-26 Tae-Sun Park , Kuniharu Kubodera , Dong-Pil Min , Mannque Rho

We examine the constraints that future lepton colliders would impose on the effective field theory describing modifications of top-quark interactions beyond the standard model, through measurements of the $e^+e^-\to bW^+\:\bar bW^-$…

High Energy Physics - Phenomenology · Physics 2017-09-01 Gauthier Durieux

We perform a model-independent analysis of the magnetic and electric dipole moments of the muon and electron. We give expressions for the dipole moments in terms of operator coefficients of the low-energy effective field theory (LEFT) and…

High Energy Physics - Phenomenology · Physics 2021-11-12 Jason Aebischer , Wouter Dekens , Elizabeth E. Jenkins , Aneesh V. Manohar , Dipan Sengupta , Peter Stoffer

Two-nucleon effective field theory (EFT) beyond momenta of order the pion mass is studied for both cutoff regularization and dimensional regularization with power divergence subtraction (PDS). Models with two mass scales illustrate how…

Nuclear Theory · Physics 2009-10-31 James V. Steele , R. J. Furnstahl

For large values of the Higgs mass the low energy structure of the gauged linear sigma model in the spontaneously broken phase can adequately be described by an effective field theory. We present a manifestly gauge-invariant functional…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Nyffeler , A. Schenk

We derive an effective field theory describing a pair of gravitationally interacting point particles in an expansion in their mass ratio, also known as the self-force (SF) expansion. The 0SF dynamics are trivially obtained to all orders in…

High Energy Physics - Theory · Physics 2024-04-22 Clifford Cheung , Julio Parra-Martinez , Ira Z. Rothstein , Nabha Shah , Jordan Wilson-Gerow

We show that the tree-level spectrum of heavy particles can be directly extracted from the Wilson coefficients of the corresponding effective field theory at low energies. This procedure is exact when the number of resonances is finite, and…

High Energy Physics - Theory · Physics 2026-04-20 Francesco Calisto , Clifford Cheung , Grant N. Remmen , Francesco Sciotti , Michele Tarquini

The LHC has confirmed the existence of a mass gap between the known particles and possible new states. Effective field theory is then the appropriate tool to search for low-energy signals of physics beyond the Standard Model. We adopt the…

High Energy Physics - Phenomenology · Physics 2020-09-07 Antonio Pich , Ignasi Rosell , Juan José Sanz-Cillero

Force-free electrodynamics (FFE) is a closed set of equations for the electromagnetic field of a magnetically dominated plasma. There are strong arguments for the existence of force-free plasmas near pulsars and active black holes, but FFE…

High Energy Physics - Theory · Physics 2019-05-22 Samuel E. Gralla , Nabil Iqbal

If background fields are soft on the scale set by mass of the particle involved, a reliable approximation to the field-theoretic one-loop effective action is obtained by a systematic large mass expansion involving higher-order Seeley-DeWitt…

High Energy Physics - Theory · Physics 2007-05-23 O-Kab Kwon , Choonkyu Lee , Hyunsoo Min

Motivated by the results of the electroweak precision experiments, studies of two-loop self-energy Feynman diagrams are performed. An algebraic method for the reduction of all two-loop self-energies to a set of standard scalar integrals is…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. Bauberger , F. A. Berends , M. Böhm , M. Buza , G. Weiglein