2020/05/05 by Xu Feng, Luchang Jin, Lu-Chang Jin +2
Mathematics · Physics and Astronomy · #Amplitude #Combinatorics #Electroweak interaction #Finite volume method #Formalism (music) #Hadron #High-Energy Particle Collisions Research #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #hep-lat #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevd.103.034508
published as Phys. Rev. D 103, 034508 (2021) · 18 pages
arxiv created 2020/05/05 · openalex created_date 2020/05/13 · openalex publication_date 2021/02/17 · arxiv updated 2021/02/24 · openalex updated_date 2026/08/05
We present the formalism for connecting a second-order electroweak 2\stackrelHI+HI\ensuremath→2 transition amplitudes in the finite volume (with two hadrons in the initial and final states) to the physical amplitudes in the infinite volume. Our study mainly focuses on the case where the low-lying intermediate state consists of two scattering hadrons. As a side product, we also reproduce the finite-volume formula for 2\stackrelHI\ensuremath→2 transition, originally obtained by Brice\~no and Hansen [Phys. Rev. D 94, 013008 (2016)]. With the available finite-volume formalism, we further discuss how to treat with the finite-volume problem in the double beta decays nn\ensuremath→ppee\ensuremathν\ensuremathν and nn\ensuremath→ppee.