Three-particle Lellouch-Lüscher formalism in moving frames

Müller, Fabian; Pang, Jin-Yi; Rusetsky, Akaki; Wu, Jiajun

doi:10.1007/jhep02(2023)214

Cited by 10 publications

(2 citation statements)

References 71 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The three different versions of the finite-volume formalism are equivalent. The relation between the RFT and FVU approaches has been established [112,133], and in the limit of only 𝑠-wave interactions, the expressions for the FVU and the NREFT in its relativistic formulation [132] are identical.…”

Section: Overview Of the Formalismmentioning

confidence: 99%

See 1 more Smart Citation

Multi-hadron interactions from lattice QCD

Romero-López¹

2023

Proceedings of the 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022)

View full text Add to dashboard Cite

First-principles calculations of multi-hadron dynamics are a crucial goal in lattice QCD. Significant progress has been achieved in developing, implementing, and applying theoretical tools that connect finite-volume quantities to their infinite-volume counterparts. Here, I review some recent theoretical developments and numerical results regarding multi-particle quantities in a finite volume. These results include 𝑁 𝜋 scattering, systems of two and three mesons at maximal isospin, three-body resonances in a toy model, and the formulation of effective theories in finite volume for multi-nucleon systems.

show abstract

Section: Overview Of the Formalismmentioning

confidence: 99%

“…To conclude, it is also worth mentioning that the formalism to study matrix elements involving three particles has been explored. In particular, for one-to-three decays such as 𝐾 → 3𝜋 [114,123,147], as well as for nonlocal matrix elements involving two currents, relevant for 𝐾 − K mixing [13].…”

Section: Fernando Romero-lópezmentioning

confidence: 99%

Multi-hadron interactions from lattice QCD

Romero-López¹

2023

Proceedings of the 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022)

View full text Add to dashboard Cite

show abstract

The three-pion K-matrix at NLO in ChPT

Baeza-Ballesteros,

Bijnens,

Husek

et al. 2024

J. High Energ. Phys.

View full text Add to dashboard Cite

The three-particle K-matrix, $$ \mathcal{K} $$ K df,3, is a scheme-dependent quantity that parametrizes short-range three-particle interactions in the relativistic-field-theory three-particle finite-volume formalism. In this work, we compute its value for systems of three pions in all isospin channels through next-to-leading order in Chiral Perturbation Theory, generalizing previous work done at maximum isospin. We obtain analytic expressions through quadratic order (or cubic order, in the case of zero isospin) in the expansion about the three-pion threshold.

show abstract

Particle-dimer approach for the Roper resonance in a finite volume

Severt¹,

Mai

Meißner

2023

J. High Energ. Phys.

View full text Add to dashboard Cite

We propose a new finite-volume approach which implements two- and three-body dynamics in a transparent way based on an Effective Field Theory Lagrangian. The formalism utilizes a particle-dimer picture and formulates the quantization conditions based on the self-energy of the decaying particle. The formalism is studied for the case of the Roper resonance, using input from lattice QCD and phenomenology. Finally, finite-volume energy eigenvalues are predicted and compared to existing results of lattice QCD calculations. This crucially provides initial guidance on the necessary level of precision for the finite-volume spectrum.

show abstract

Three-particle Lellouch-Lüscher formalism in moving frames

Cited by 10 publications

References 71 publications

Multi-hadron interactions from lattice QCD

Multi-hadron interactions from lattice QCD

The three-pion K-matrix at NLO in ChPT

Particle-dimer approach for the Roper resonance in a finite volume

Contact Info

Product

Resources

About