This work presents some essential techniques that constitute
the modern strategy for computing scattering amplitudes. It begins
with an introductory chapter to fill the gap between a standard QFT
course and the latest developments in the field. The author then
tackles the main bottleneck: the computation of the loop Feynman
integrals. The most efficient technique for their computation is
the method of the differential equations. This is discussed in
detail, with a particular focus on the mathematical aspects
involved in the derivation of the differential equations and their
solution. Ample space is devoted to the special functions arising
from the differential equations, to their analytic properties, and
to the mathematical techniques which allow us to handle them
systematically. The thesis also addresses the application of
these techniques to a cutting-edge problem of importance for the
physics programme of the Large Hadron Collider: five-particle
amplitudes at two-loop order. It presents the first analytic
results for complete two-loop five-particle amplitudes, in
supersymmetric theories and QCD. The techniques discussed here open
the door to precision phenomenology for processes of
phenomenological interest, such as three-photon, three-jet, and
di-photon + jet production.
General
| Imprint: |
Springer International Publishing AG
|
| Country of origin: |
Switzerland |
| Series: |
Springer Theses |
| Release date: |
May 2023 |
| First published: |
2022 |
| Authors: |
Simone Zoia
|
| Dimensions: |
235 x 155mm (L x W) |
| Pages: |
207 |
| Edition: |
1st ed. 2022 |
| ISBN-13: |
978-3-03-101947-0 |
| Categories: |
Books
Promotions
|
| LSN: |
3-03-101947-4 |
| Barcode: |
9783031019470 |
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