scholarly journals On the three-particle analog of the Lellouch-Lüscher formula

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Fabian Müller ◽  
Akaki Rusetsky
Keyword(s):  
Field Theory ◽  
Finite Volume ◽  
Effective Field Theory ◽  
Effective Field ◽  
Infinite Volume ◽  
Leading Order ◽  
Particle Decay ◽  
Particle Decays

Abstract Using non-relativistic effective field theory, we derive a three-particle analog of the Lellouch-Lüscher formula at the leading order. This formula relates the three-particle decay amplitudes in a finite volume with their infinite-volume counterparts and, hence, can be used to study the three-particle decays on the lattice. The generalization of the approach to higher orders is briefly discussed.

scholarly journals Hyperon–nucleon interaction at next-to-leading order in chiral effective field theory

2013 ◽  
Vol 915 ◽  
pp. 24-58 ◽  
Author(s):  
J. Haidenbauer ◽  
S. Petschauer ◽  
N. Kaiser ◽  
U.-G. Meißner ◽  
A. Nogga ◽  
...  
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Effective Field ◽  
Leading Order ◽  
Nucleon Interaction ◽  
Chiral Effective Field Theory

scholarly journals Neutron-proton scattering with lattice chiral effective field theory at next-to-next-to-next-to-leading order

2018 ◽  
Vol 98 (4) ◽  
Author(s):  
Ning Li ◽  
Serdar Elhatisari ◽  
Evgeny Epelbaum ◽  
Dean Lee ◽  
Bing-Nan Lu ◽  
...  
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Effective Field ◽  
Proton Scattering ◽  
Leading Order ◽  
Chiral Effective Field Theory

scholarly journals The one-loop tadpole in the geoSMEFT

2021 ◽  
Vol 11 (5) ◽  
Author(s):  
Tyler Corbett
Keyword(s):  
Field Theory ◽  
Standard Model ◽  
Effective Field Theory ◽  
Effective Field ◽  
Power Counting ◽  
Leading Order ◽  
The Standard Model ◽  
The One ◽  
Near Future ◽  
Geometric Formulation

Making use of the geometric formulation of the Standard Model Effective Field Theory we calculate the one-loop tadpole diagrams to all orders in the Standard Model Effective Field Theory power counting. This work represents the first calculation of a one-loop amplitude beyond leading order in the Standard Model Effective Field Theory, and discusses the potential to extend this methodology to perform similar calculations of observables in the near future.

scholarly journals Neutron-proton scattering at next-to-next-to-leading order in Nuclear Lattice Effective Field Theory

2017 ◽  
Vol 53 (5) ◽  
Author(s):  
Jose Manuel Alarcón ◽  
Dechuan Du ◽  
Nico Klein ◽  
Timo A. Lähde ◽  
Dean Lee ◽  
...  
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Effective Field ◽  
Proton Scattering ◽  
Leading Order

scholarly journals Nuclear currents in chiral effective field theory

2020 ◽  
Vol 56 (9) ◽  
Author(s):  
Hermann Krebs
Keyword(s):  
Field Theory ◽  
Chiral Symmetry ◽  
Effective Field Theory ◽  
Unitary Transformation ◽  
Axial Vector ◽  
Vector Current ◽  
Effective Field ◽  
Axial Vector Current ◽  
Leading Order ◽  
Chiral Effective Field Theory

Abstract In this article, we review the status of the calculation of nuclear currents within chiral effective field theory. After formal discussion of the unitary transformation technique and its application to nuclear currents we give all available expressions for vector, axial-vector currents. Vector and axial-vector currents are discussed up to order Q with leading-order contribution starting at order $$Q^{-3}$$ Q - 3 . Pseudoscalar and scalar currents will be discussed up to order $$Q^0$$ Q 0 with leading-order contribution starting at order $$Q^{-4}$$ Q - 4 . This is a complete set of expressions in next-to-next-to-next-to-leading-order (N$$^3$$ 3 LO) analysis for nuclear scalar, pseudoscalar, vector and axial-vector current operators. Differences between vector and axial-vector currents calculated via transfer-matrix inversion and unitary transformation techniques are discussed. The importance of a consistent regularization is an additional point which is emphasized: lack of a consistent regularization of axial-vector current operators is shown to lead to a violation of the chiral symmetry in the chiral limit at order Q. For this reason a hybrid approach at order Q, discussed in various publications, is non-applicable. To respect the chiral symmetry the same regularization procedure needs to be used in the construction of nuclear forces and current operators. Although full expressions of consistently regularized current operators are not yet available, the isoscalar part of the electromagnetic charge operator up to order Q has a very simple form and can be easily regularized in a consistent way. As an application, we review our recent high accuracy calculation of the deuteron charge form factor with a quantified error estimate.

scholarly journals Chiral effective field theory on the lattice at next-to-leading order

2008 ◽  
Vol 35 (3) ◽  
pp. 343-355 ◽  
Author(s):  
B. Borasoy ◽  
E. Epelbaum ◽  
H. Krebs ◽  
D. Lee ◽  
U. -G. Meißner
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Effective Field ◽  
Leading Order ◽  
Chiral Effective Field Theory

scholarly journals He3andpdscattering to next-to-leading order in pionless effective field theory

2014 ◽  
Vol 89 (6) ◽  
Author(s):  
Jared Vanasse ◽  
David A. Egolf ◽  
John Kerin ◽  
Sebastian König ◽  
Roxanne P. Springer
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Effective Field ◽  
Leading Order
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