Multi-hadron interactions from lattice QCD

Romero-López, Fernando

doi:10.22323/1.430.0235

Cited by 7 publications

(2 citation statements)

References 135 publications

(209 reference statements)

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“…For recent reviews see refs. [66][67][68][69][70]. Other finite-volume approaches, which we do not discuss, include formulating EFTs in finite volume [71][72][73][74][75], the finite-volume Hamiltonian method (see, e.g., ref.…”

Section: Jhep07(2023)226mentioning

confidence: 99%

Three relativistic neutrons in a finite volume

Draper

Hansen

Romero-López

et al. 2023

J. High Energ. Phys.

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Section: Jhep07(2023)226mentioning

confidence: 99%

Three relativistic neutrons in a finite volume

Draper

Hansen

Romero-López

et al. 2023

J. High Energ. Phys.

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“…The extraction of scattering amplitudes from lattice QCD is a very active topic of research (see refs. [1][2][3][4][5][6][7][8] for recent reviews), and, in particular, three-particle processes have recently received a lot of attention. The formalism to extract these amplitudes from the three-particle finite-volume spectrum computed on the lattice has been developed over the last decade , using three main approaches, and has been applied to results from lattice simulations for a number of scattering amplitudes [40][41][42][43][44][45][46][47][48][49][50][51][52][53].…”

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confidence: 99%

The isospin-3 three-particle $K$-matrix at NLO in ChPT

Baeza-Ballesteros¹,

Bijnens²,

Husek³

et al. 2023

Preprint

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The three-particle K-matrix, K df,3 , is a scheme-dependent quantity that parametrizes short-range three-particle interactions in the relativistic-field-theory threeparticle finite-volume formalism. In this work, we compute its value for systems of three pions at maximal isospin through next-to-leading order (NLO) in Chiral Perturbation Theory (ChPT). We compare the values to existing lattice QCD results and find that the agreement between lattice QCD data and ChPT in the first two coefficients of the threshold expansion of K df,3 is significantly improved with respect to leading order once NLO effects are incorporated. 4 Details of the calculation of K NLO df,3 4.1 General form of the threshold expansion 4.2 Threshold expansion of the non-OPE part of M 3 4.2.1 Threshold expansion of A J 4.2.2 Threshold expansion of A C 4.2.3 The full non-OPE threshold expansion 4.3 Bull's head subtraction contribution 4.3.1 Threshold expansion 4.3.2 Hadamard finite-part integration 4.3.3 Analytic approximation 4.3.4 Direct numerical evaluation 4.3.5 The full bull's head subtraction 4.4 OPE diagrams 4.4.1 Expression for Re M NLO 2,off 4.4.2 Decomposition of t 2 u 2 4.4.3 s-wave contributions 4.4.4 d-wave contributions 4.4.5 The full OPE contribution 5 Conclusions and outlook A Dependence on the cutoff B Loop integrals C Cancellation of imaginary parts 41 C.1 Bull's head diagram 41 C.2 OPE diagrams 44 C.3 Remaining diagrams 44 D Threshold expansion using single-parameter kinematic configurations 45 E An integration method for less well-behaved M 3 46 References 50

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Interactions of πK, ππK and KKπ systems at maximal isospin from lattice QCD

Draper

Hanlon

Hörz

et al. 2023

J. High Energ. Phys.

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We study the interactions of systems of two and three nondegenerate mesons composed of pions and kaons at maximal isospin using lattice QCD, specifically π+K+, π+π+K+ and K+K+π+. Utilizing the stochastic LapH method, we determine the spectrum of these systems on two CLS Nf = 2 + 1 ensembles with pion masses of 200 MeV and 340 MeV, and include many levels in different momentum frames. We constrain the K matrices describing two- and three-particle interactions by fitting the spectrum to the results predicted by the finite-volume formalism, including up to p waves. This requires also results for the π+π+ and K+K+ spectrum, which have been obtained previously on the same configurations. We explore different fitting strategies, comparing fits to energy shifts with fits to energies boosted to the rest frame, and also comparing simultaneous global fits to all relevant two- and three-particle channels to those where we first fit two-particle channels and then add in the three-particle information. We provide the first determination of the three-particle K matrix in π+π+K+ and K+K+π+ systems, finding statistically significant nonzero results in most cases. We include s and p waves in the K matrix for π+K+ scattering, finding evidence for an attractive p-wave scattering length. We compare our results to Chiral Perturbation Theory, including an investigation of the impact of discretization errors, for which we provide the leading order predictions obtained using Wilson Chiral Perturbation Theory.

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Multi-hadron interactions from lattice QCD

Cited by 7 publications

References 135 publications

Three relativistic neutrons in a finite volume

Three relativistic neutrons in a finite volume

The isospin-3 three-particle $K$-matrix at NLO in ChPT

Interactions of πK, ππK and KKπ systems at maximal isospin from lattice QCD

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