21–29 Aug 2019
Europe/Athens timezone
ICNFP 2019 follows HiX 2019 (also at the OAC), Int. Workshop devoted to Nucleon Structure at Large Bjorken-x (https://indico.cern.ch/event/799284/overview). Related ICNFP Session organized with HiX 2019 convenors will take place the 22-23 August

Superasymptotic and hyperasymptotic approximation to the operator product expansion

29 Aug 2019, 11:50
25m
Room 5

Room 5

Oral Presentation Parallel Session

Speaker

Mr Xabier Lobregat (IFAE)

Description

Given an observable and its operator product expansion (OPE), we present expressions that carefully disentangle truncated sums of the perturbative series in powers of α from the non-perturbative (NP) corrections. This splitting is done with NP power accuracy. Analytic control of the splitting is achieved and the organization of the different terms is done along an super/hyper-asymptotic expansion. As a test we apply the methods to the static potential in the large β0 approximation. We see the superasymptotic and hyperasymptotic structure of the observable in full glory.

Authors

Mr Cesar Ayala (Universidad Técnica Federico Santa María (UTFSM)) Mr Xabier Lobregat (IFAE) Mr Antonio Pineda (IFAE)

Presentation materials