Galilean-invariant effective field theory for the X ( 3872 ) at next-to-leading order

Braaten, Eric; He, Li-Ping; Jiang, Jun

doi:10.1103/PhysRevD.103.036014

Title: Galilean-invariant effective field theory for the $X (3872)$ at next-to-leading order

Journal Article · Fri Feb 19 00:00:00 EST 2021 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.103.036014· OSTI ID:1766344

Braaten, Eric;

;

XEFT is a low-energy effective field theory for charm mesons and pions that provides a systematically improvable description of the X (3872) resonance. To simplify calculations beyond leading order, we introduce a new formulation of XEFT with a dynamical field for a pair of charm mesons in the resonant channel. We simplify the renormalization of XEFT by introducing a new renormalization scheme that involves the subtraction of amplitudes at the complex $$D^{*0}\bar{D} ^{0}$$ threshold. The new formulation and the new renormalization scheme are illustrated by calculating the complex pole energy of X and the $$D^{*0}\bar{D} ^{0}$$ scattering amplitude to next-to-leading order using Galilean-invariant XEFT.

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Research Organization:: The Ohio State Univ., Columbus, OH (United States)

Sponsoring Organization:: USDOE Office of Science (SC); National Natural Science Foundation of China (NSFC); Natural Science Foundation of Shandong Province; Shandong University; Ohio State University

Grant/Contract Number:: SC0011726; 11905112; ZR2019QA012; 2019GN038

OSTI ID:: 1766344

Alternate ID(s):: OSTI ID: 1851538

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 103 Journal Issue: 3; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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