scholarly journals Precision Determination of Pion-Nucleon Coupling Constants Using Effective Field Theory

2021 ◽  
Vol 126 (9) ◽  
Author(s):  
P. Reinert ◽  
H. Krebs ◽  
E. Epelbaum
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Effective Field ◽  
Coupling Constants ◽  
Precision Determination ◽  
Pion Nucleon

scholarly journals Functional prescription for EFT matching

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Timothy Cohen ◽  
Xiaochuan Lu ◽  
Zhengkang Zhang
Keyword(s):  
Field Theory ◽  
Standard Model ◽  
Effective Field Theory ◽  
Vector Fields ◽  
Functional Approach ◽  
Effective Field ◽  
The One

Abstract We simplify the one-loop functional matching formalism to develop a streamlined prescription. The functional approach is conceptually appealing: all calculations are performed within the UV theory at the matching scale, and no prior determination of an Effective Field Theory (EFT) operator basis is required. Our prescription accommodates any relativistic UV theory that contains generic interactions (including derivative couplings) among scalar, fermion, and vector fields. As an example application, we match the singlet scalar extended Standard Model (SM) onto SMEFT.

scholarly journals The S-wave pion–nucleon scattering lengths from pionic atoms using effective field theory

2003 ◽  
Vol 720 (3-4) ◽  
pp. 399-415 ◽  
Author(s):  
S.R. Beane ◽  
V. Bernard ◽  
E. Epelbaum ◽  
Ulf-G. Meißner ◽  
D.R. Phillips
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Effective Field ◽  
S Wave ◽  
Nucleon Scattering ◽  
Pion Nucleon ◽  
Pionic Atoms ◽  
Scattering Lengths

scholarly journals Effective field theory calculations of NN → NNπ

2014 ◽  
Vol 23 (04) ◽  
pp. 1430004 ◽  
Author(s):  
Vadim Baru ◽  
Christoph Hanhart ◽  
Fred Myhrer
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Pion Production ◽  
Mass Difference ◽  
Effective Field ◽  
S Wave ◽  
Chiral Effective Field Theory ◽  
Charge Symmetry ◽  
Pion Nucleon ◽  
Scattering Lengths

In this review, we present the recent advances for calculations of the reactions NN → NNπ using chiral effective field theory χEFT. Discussed are the next-to-next-to leading order (N2LO) loop contributions with nucleon and Delta-isobar for near threshold s-wave pion-production. Results of recent experimental pion-production data for energies close to the threshold are analyzed. Several particular applications are discussed: (i) it is shown how the measured charge symmetry (CS) violating pion-production reaction can be used to extract the strong interaction contribution to the proton–neutron mass difference; (ii) the role of NN → NNπ for the extraction of the pion–nucleon scattering lengths from pionic atoms data is illuminated.

scholarly journals Recent results of the pion-nucleon scattering and the widths of the delta and Roper resonances in BChPT

2019 ◽  
Vol 199 ◽  
pp. 01005
Author(s):  
J. Gegelia
Keyword(s):  
Field Theory ◽  
Perturbation Theory ◽  
Effective Field Theory ◽  
Degrees Of Freedom ◽  
Effective Field ◽  
Chiral Perturbation ◽  
Nucleon Scattering ◽  
Delta Resonances ◽  
Pion Nucleon ◽  
Dynamical Degrees

Recent calculations of the pion-nucleon scattering in covariant baryon chiral perturbation theory with explicit delta resonances are presented. Two-loop results of the widths of the Δ and Roper resonances are discussed in the framework of an effective field theory with nucleons, pions and the Roper and delta resonances as dynamical degrees of freedom.

BUILDING HEAVY-PARTICLE LAGRANGIANS USING FOLDY-WOUTHUYSEN REPRESENTATION

2011 ◽  
Vol 26 (03n04) ◽  
pp. 673-674
Author(s):  
VADIM LENSKY ◽  
BINGWEI LONG
Keyword(s):  
Field Theory ◽  
Effective Field Theories ◽  
Effective Field Theory ◽  
Lorentz Invariance ◽  
Heavy Particle ◽  
Effective Field ◽  
Field Theories ◽  
Chiral Effective Field Theory ◽  
Pion Nucleon

We use the Foldy-Wouthuysen representation to construct Lorentz-invariant interactions of heavy fields, building the interactions starting from non-relativistic heavy particle fields. We show that the couplings obtained feature a straightforward 1/m, where m is the mass of the heavy particle, expansion, which ensures Lorentz invariance order by order in effective field theories. We illustrate possible applications on the examples of pion-nucleon and pion-nucleon-delta couplings in chiral effective field theory. For instance, we show that one of the terms usually considered to be a part of chiral index-1 πNΔ vertex is redundant. We discuss the implications of this fact.

Effective Field Theory in Particle Physics and Cosmology

2020 ◽  
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Particle Physics ◽  
Large Scale ◽  
Effective Field ◽  
Effective Theory ◽  
Soft Collinear Effective Theory ◽  
Multiple Length Scales ◽  
Cosmological Observations ◽  
Standard Models

Effective field theory (EFT) is a general method for describing quantum systems with multiple-length scales in a tractable fashion. It allows us to perform precise calculations in established models (such as the standard models of particle physics and cosmology), as well as to concisely parametrize possible effects from physics beyond the standard models. EFTs have become key tools in the theoretical analysis of particle physics experiments and cosmological observations, despite being absent from many textbooks. This volume aims to provide a comprehensive introduction to many of the EFTs in use today, and covers topics that include large-scale structure, WIMPs, dark matter, heavy quark effective theory, flavour physics, soft-collinear effective theory, and more.

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