Maxwell T. Hansen

Multiple-channel generalization of Lellouch-Luscher formula

nite volume quantization condition to multiple two-particle channels. We give fully explicit results for the case of two channels, including a form of the generalized Lellouch-Luscher formula expressed in terms of derivatives of the energies of nite volume states with respect to the box size. Our results hold for arbitrary total momentum and for degenerate or non-degenerate particles.

Relativistic, model-independent, three-particle quantization condition

We present a generalization of Lueschers relation between the finite-volume spectrum and scattering amplitudes to the case of three particles. We consider a relativistic scalar field theory in which the couplings are arbitrary aside from a Z2 symmetry that removes vertices with an odd number of particles. The theory is assumed to have two-particle phase shifts that are bounded by \pi/2 in the regime of elastic scattering. We determine the spectrum of the finite-volume theory from the poles in the odd-particle-number finite-volume correlator, which we analyze to all orders in perturbation theory. We show that it depends on the infinite-volume two-to-two K-matrix as well as a nonstandard infinite-volume three-to-three K-matrix. A key feature of our result is the need to subtract physical singularities in the three-to-three amplitude and thus deal with a divergence-free quantity. This allows our initial, formal result to be truncated to a finite dimensional determinant equation. At present, the relation of the three-to-three K-matrix to the corresponding scattering amplitude is not known, although previous results in the non-relativistic limit suggest that such a relation exists.

Expressing the three-particle finite-volume spectrum in terms of the three-to-three scattering amplitude

In this article we complete our formalism relating the finite-volume energy spectrum of a scalar quantum field theory to the three-to-three scattering amplitude,

Relating the finite-volume spectrum and the two-and-three-particle S matrix for relativistic systems of identical scalar particles

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Constraint on the low energy constants of Wilson chiral perturbation theory

. In previous work we found a quantization condition relating the spectrum to a non-standard infinite-volume quantity, denoted

Role of the Euclidean signature in lattice calculations of quasidistributions and other nonlocal matrix elements

{\cal K}_{{\rm df},3}

Applying the relativistic quantization condition to a three-particle bound state in a periodic box

. Here we present the relation between

From deep inelastic scattering to heavy-flavor semileptonic decays: Total rates into multihadron final states from lattice QCD

{\cal K}_{{\rm df},3}

Relativistic, model-independent, multichannel 2→2 transition amplitudes in a finite volume

and

Erratum: Threshold expansion of the three-particle quantization condition [Phys. Rev. D 93 , 096006 (2016)]

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