scholarly journals Finite volume matrix elements of two-body states

2019 ◽  
Author(s):  
Alessandro Baroni ◽  
Raúl A. Briceño ◽  
Maxwell T. Hansen ◽  
Felipe G. Ortega-Gama
Keyword(s):  
Finite Volume ◽  
Matrix Elements

scholarly journals Decay amplitudes to three hadrons from finite-volume matrix elements

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Maxwell T. Hansen ◽  
Fernando Romero-López ◽  
Stephen R. Sharpe
Keyword(s):  
Finite Volume ◽  
Decay Amplitude ◽  
Weak Decay ◽  
Matrix Elements ◽  
Isospin Breaking ◽  
Final State ◽  
Identical Particles ◽  
Hadron Decay ◽  
Finite State ◽  
Particle Decays

Abstract We derive relations between finite-volume matrix elements and infinite-volume decay amplitudes, for processes with three spinless, degenerate and either identical or non-identical particles in the final state. This generalizes the Lellouch-Lüscher relation for two-particle decays and provides a strategy for extracting three-hadron decay amplitudes using lattice QCD. Unlike for two particles, even in the simplest approximation, one must solve integral equations to obtain the physical decay amplitude, a consequence of the nontrivial finite-state interactions. We first derive the result in a simplified theory with three identical particles, and then present the generalizations needed to study phenomenologically relevant three-pion decays. The specific processes we discuss are the CP-violating K → 3π weak decay, the isospin-breaking η → 3π QCD transition, and the electromagnetic γ* → 3π amplitudes that enter the calculation of the hadronic vacuum polarization contribution to muonic g − 2.

scholarly journals Diagonal finite volume matrix elements in the sinh-Gordon model

2019 ◽  
Vol 945 ◽  
pp. 114664 ◽  
Author(s):  
Zoltan Bajnok ◽  
Fedor Smirnov
Keyword(s):  
Finite Volume ◽  
Matrix Elements

scholarly journals Finite-volume matrix elements in multiboson states

2015 ◽  
Vol 91 (7) ◽  
Author(s):  
William Detmold ◽  
Michael Flynn
Keyword(s):  
Finite Volume ◽  
Matrix Elements
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