Published 2020 | Version v1
Journal article Metadata-only

The 4-loop slope of the Dirac form factor

Creators

  • 1. Istituto Nazionale Fisica Nucleare, Sezione di Padova, Via Marzolo 8, I-35131 Padova (Italy)
  • 2. Dipartimento di Fisica e Astronomia, Università di Padova, Via Marzolo 8, I-35131 Padova (Italy)

Description

The 4-loop contribution to the slope of the Dirac form factor in QED has been evaluated with 1100 digits of precision. The value is . We have also obtained a semi-analytical fit to the numerical value. The expression contains harmonic polylogiπ2iπ iπ arithms of argument , one-dimensional integrals of products of complete elliptic integrals and six finite parts of master integrals, evaluated up to 4800 digits. We show the correction to the energy levels of the hydrogen atom due to the slope.

Availability note (English)

Available from https://www.epj-conferences.org/articles/epjconf/pdf/2020/10/epjconf_fccp2019_01009.pdf; https://doaj.org/article/284abe151683445eb617904ba7842d6f

Additional details

Identifiers

URL
https://www.epj-conferences.org/articles/epjconf/pdf/2020/10/epjconf_fccp2019_01009.pdf; https://doaj.org/article/284abe151683445eb617904ba7842d6f;
DOI
10.1051/epjconf/202023401009;

Publishing Information

Journal Title
EPJ. Web of Conferences
Journal Volume
234
Journal Page Range
vp.
ISSN
2100-014X

Conference

Title
International Workshop on Flavour Changing and Conserving Processes
Acronym
FCCP2019
Dates
29-31 Aug 2019
Place
Anacapri, Capri Island (Italy)

INIS

Country of Publication
France
Country of Input or Organization
France
INIS RN
53092851
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S74: ATOMIC AND MOLECULAR PHYSICS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
ATOMS; DIRAC FORM FACTORS; ENERGY LEVELS; HARMONICS; ONE-DIMENSIONAL CALCULATIONS; QUANTUM ELECTRODYNAMICS
Descriptors DEC
DIMENSIONLESS NUMBERS; ELECTRODYNAMICS; FIELD THEORIES; FORM FACTORS; OSCILLATIONS; PARTICLE PROPERTIES; QUANTUM FIELD THEORY