Analytic tools for Feynman integrals
By: Vladimir A. Smirnov
Series: Springer tracts in modern physics -- 250; Springer tracts in modern physics -- 250.
Publisher: Springer
Published: 2012
Place of publication: Heidelberg; New York
Language: eng
Number of pages: 296
ISBN-13: 9783642348853
Subjects: Feynman integrals
Notes: Includes bibliographical references and index.
Table of contents: title: 1. Introduction; title: 2. Feynman integrals: basic definitions and tools; title: 3. Evaluating by Alpha and Feynman parameters; title: 4. Sector decompositions; title: 5. Evaluating by MB representation; title: 6. IBP and reduction to master integrals; title: 7. Evaluation by differential equations; title: 8. Evaluating master integrals by dimensional recurrence and analyticity; title: 9. Asymptotic expansions in momenta and masses; title: 10. Appendix A: Tables; title: 11. Appendix B: Some special functions; title: 12. Appendix C: Summation formulae; title: 13. Appendix D: Table of MB integrals; title: 14. Appendix E: A brief review of some other methods.