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During the last few years the analytic study of scattering amplitudes has flourished due to a vivid interaction between high-energy physics and mathematics. The purpose of the workshop is to bring together leading experts working on novel methods for scattering amplitudes in perturbative gauge theory, gravity theories and string theory, reaching from formal developments to phenomenological applications. The meeting will combine several review presentations with shorter talks to discuss promising developments in this quickly evolving field. We hope that this will help forging new ideas and further boost the field. The topics include:

  • Mathematical structure of scattering amplitudes
  • Integrals and integrands of perturbative quantum field theories
  • Scattering amplitudes in (super)gravity and their ultraviolet behaviour
  • Gauge/gravity dualities, AdS/CFT integrability, Wilson loops and strong-coupling results
  • The long-distance singularity structure of gauge-theory amplitudes
  • String amplitudes and their implications for field theory
  • Developments related to the analytic S-matrix approach

Invited speakers

  • Anastasia Volovich
  • Andreas Brandhuber
  • Andreas Von Manteuffel
  • Andrew Strominger
  • Arthur Lipstein
  • Ben Page
  • Bernhard Mistlberger
  • Burkhard Eden
  • David Broadhurst
  • Dmitry Chicherin
  • Emil Bjerrum-Bohr
  • Enrico Herrmann
  • Francis Brown
  • Gang Yang
  • Georgios Papathanasiou
  • Henrik Johansson
  • Humberto Gomez
  • Johannes Henn
  • Leonardo Vernazza
  • Livia Ferro
  • Lorenzo Tancredi
  • Luise Adams
  • Miguel Paulos
  • Nima Arkani-Hamed
  • Oliver Schlotterer
  • Pierre Vanhove
  • Piotr Tourkine
  • Radu Roiban
  • Roman Lee
  • Rutger Boels
  • Samuel Abreu
  • Song He
  • Stephen Naculich
  • Tiziano Peraro
  • Walter Goldberger
  • Yuntao Bai

The schedule can be found here .

Directions to Appleton Tower and other relevant locations can be found here and the building on the campus map is here

Delegate Discounts: You will be provided with an Edinburgh Rewards Passport at the registration desk, this gives access to over 100 discounts and exclusive offers at a selection of the city’s restaurants, bars, tourist attractions and pre booked taxis. Details of the discounts are on the webpage as well as the printed passport.

The conference will be proceeded by a Summer School on advanced topics in scattering amplitudes, aimed primarily at PhD students working in the field. More senior participants are welcome to register as well!

Amplitudes Conference Series

This event is the continuation of a sequence of conferences started in 2009.

The next conference in this series, after Edinburgh, will be:

International Advisory Committee

  • Ruth Britto (Dublin)
  • Lance Dixon (SLAC)
  • Gregory Korchemsky (Saclay)
  • Lorenzo Magnea (Torino)
  • Stefan Weinzierl (Mainz)

Local Organisers

  • Simon Badger (IPPP, Durham)
  • Claude Duhr (CERN)
  • Einan Gardi (Edinburgh)
  • Nigel Glover (IPPP, Durham)
  • Donal O'Connell (Edinburgh)




See the full timetable on Indico

10 Jul / 08:30—08:40
Welcome (0h10′)
10 Jul / 08:45—09:30
Spacetime, Quantum Mechanics and Positive Geometry: From Scattering Amplitudes to the Wavefunction of the Universe (0h45′)
10 Jul / 09:35—10:05
Positive Geometries and Canonical Forms: Scattering Amplitudes and the Associahedron (0h30′)
  • Bai, Yuntao (Princeton, NJ)
10 Jul / 11:00—11:30
The connected prescription for form factors in twistor space (0h30′)
  • Brandhuber, Andreas
10 Jul / 11:35—12:05
Landau Singularities from the Amplituhedron (0h30′)
  • Volovich, Anastasia
10 Jul / 13:40—14:10
Symmetries of the Amplituhedron (0h30′)
  • Ferro, Livia
10 Jul / 14:15—14:45
The duality of Wilson loop form factors (0h30′)
  • Chicherin, Dmitry
10 Jul / 15:40—16:10
The Steinmann Cluster Bootstrap for N=4 SYM Amplitudes (0h30′)
  • Papathanasiou, Georgios
10 Jul / 16:15—16:45
Soft Theorems (0h30′)
  • Strominger, Andrew
10 Jul / 16:45—18:25
Reception and Poster Session (1h40′)
11 Jul / 08:45—09:30
Massive scattering amplitudes in N=4 super Yang-Mills (0h45′)
11 Jul / 09:35—10:05
Finite fields and multivariate reconstruction techniques for scattering amplitudes (0h30′)
11 Jul / 11:00—11:30
Reducing differential systems for multiloop integrals (0h30′)
  • Lee, Roman (Budker Institute of Nuclear Physics)
11 Jul / 11:35—12:05
Feynman integrals in QCD (0h30′)
  • Von Manteuffel, Andreas (Michigan State University)
11 Jul / 13:40—14:10
Two-parton scattering in the high-energy limit (0h30′)
11 Jul / 14:15—14:45
Advancements and challenges in multiloop scattering amplitudes for the LHC (0h30′)
11 Jul / 15:40—16:10
First Two-Loop Amplitudes with the Numerical Unitarity Method (0h30′)
  • Page, Ben (Freiburg University)
11 Jul / 16:15—16:45
QCD at high orders for precision phenomenology at the LHC (0h30′)
  • Mistlberger, Bernhard (CERN)
11 Jul / 16:50—17:20
Bootstrapping the S-matrix (0h30′)
  • Paulos, Miguel (CERN)
12 Jul / 08:45—09:30
Introduction to motivic amplitudes and cosmic Galois group (0h45′)
  • Brown, Francis (Oxford University)
12 Jul / 09:35—10:05
Geometry and Hopf algebra of one-loop integrals and their cuts (0h30′)
12 Jul / 11:00—11:30
Feynman Integrals as Periods (0h30′)
12 Jul / 11:35—12:05
An elliptic generalisation of polylogarithms for the sunrise and kite integrals (0h30′)
  • Adams, Luise (Mainz University)
12 Jul / 13:40—14:10
Feynman integrals, beyond polylogs, up to 20 loops (0h30′)
13 Jul / 08:45—09:30
Gravity and supergravity perturbation theory: a bird's eye view (0h45′)
  • Roiban, Radu (Pennstate University)
13 Jul / 09:35—10:05
Sudakov form factor and colour-kinematics duality at five loops (0h30′)
  • Yang, Gang (Chinese Academy of Sciences, Beijing)
13 Jul / 11:00—11:30
Loop-level BCJ and KLT relations (0h30′)
  • Schlotterer, Oliver (The Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Potsdam)
13 Jul / 11:35—12:05
Radiation and the classical double copy for colour charges (0h30′)
  • Goldberger, Walter (Yale University)
13 Jul / 13:40—14:10
Soft Photon and Graviton Theorems in Effective Field Theory (0h30′)
  • Naculich, Stephen (Bowdoin college)
13 Jul / 14:15—14:45
From gravity on-shell diagrams to properties of scattering amplitudes (0h30′)
  • Herrmann, Enrico (Caltech)
13 Jul / 15:40—16:10
Scattering in Conformal Gravity (0h30′)
  • Henrik JOHANSSON (University of Uppsala)
13 Jul / 16:15—16:45
From 4d Ambitwistor Strings to On Shell Diagrams and Back (0h30′)
  • Arthur LIPSTEIN (Durham University)
13 Jul / 16:50—17:40
Poster Session (0h50′)
14 Jul / 08:45—09:30
The scattering equations and ambitwistor strings (0h45′)
  • Mason, Lionel (Oxford University)
14 Jul / 09:35—10:05
Higher-loop amplitude monodromy relations in string and gauge theory (0h30′)
14 Jul / 11:00—11:30
The Correlahedron (0h30′)
  • Eden, Burkhard (Humboldt University, Berlin)
14 Jul / 11:35—12:05
The four-loop form factor in N = 4 super Yang-Mills theory (0h30′)
  • Boels, Rutger (Desy, Hamburg)
14 Jul / 13:40—14:10
Scattering Equations and Feynman Loop Integrands (0h30′)
  • Gomez, Humberto (Universidad Santiago de Cali, Colombia)
14 Jul / 14:15—14:45
Amplitudes from scattering equations at tree and loop order (0h30′)
  • Bjerrum-Bohr, Emil (Niels Bohr Institute, Copenhagen)


The following have registered to attend this workshop:

List of attendees
First Name Last Name Affiliation
Adriano Lo Presti IPPP-Durham
Akshay Yelleshpur Princeton University
Alastair Stewart Durham University
Alessandro Georgoudis Uppsala University
Alexander Ochirov University of Edinburgh
Alexander Tumanov Tel Aviv University
Anastasia Volovich Brown University
Anatoliy Dovbnya UC Davis
Andrea Orta LMU Munich
Andreas Brandhuber Queen Mary University of London
Andreas Helset NBI
Andreas von Manteuffel Michigan State University
Andrew McLeod SLAC National Accelerator Laboratory
Andrew Strominger Harvard University
Andries Waelkens University of Edinburgh
Andrés Luna-Godoy University of Glasgow
Arthur Lipstein Durham University
Ben Page Albert-Ludwigs-Universität Freiburg
Bernhard Mistlberger CERN
Bram Verbeek UCLouvain
Brenda Penante CERN
Burkhard Eden Humboldt-University
Calum Milloy University of Edinburgh
Carlos Mafra University of Southampton
Chia-Hsien Shen Caltech
Chih-Hao Fu Shaanxi Normal University
Chris White Queen Mary University of London
Chrysostomos Kalousios University of Southampton
Claude Duhr CERN & UCLouvain
Daniel Burger University of Cape Town
David Broadhurst Open University
david dunbar swansea university
David Gordo IFT UAM-CSIC
Diego Medrano Instituto de Física Teórica IFT UAM-CSIC
Dmitry Chicherin Johannes Gutenberg University
Donal O'Connell University of Edinburgh
Einan Gardi The University of Edinburgh
Enrico Herrmann California Institute of Technology
Erik Panzer All Souls College
Fei Teng University of Utah
Francesco Buciuni IPPP
Francesco Moriello Trinity College Dublin
Franz Herzog Nikhef
Gang Chen Uppsala University
Gang Yang Institute of Theoretical Physics, Chinese Academy of Sciences
Georgios Papathanasiou DESY
Giulio Falcioni Nikhef
Gregor Kälin Uppsala Universitet
Gregory Pollak Lawrence Livermore Natl. Lab.
Guojun Zhang Perimeter Institute
Guy Jehu Swansea University
Henrik Johansson Uppsala U. and Nordita
Herbert Gangl Durham University
Heribertus Bayu Hartanto IPPP
Hjalte Frellesvig NCSR Demokritos
Humberto Gomez Zuniga Universidad Santiago de Cali
Isobel Nicholson Edinburgh
James Matthew University of Edinburgh
Johannes Henn Mainz University
John Godwin Swansea University
John Joseph Carrasco IPhT, CEA Saclay & University of Paris-Saclay
Jorrit Bosma ETH Zurich
Joscha Reichel Higgs Centre / University of Edinburgh
Joseph Farrow Durham
Josua Faller HU Berlin
Julio Parra-Martinez UCLA
Jun Nian Institut des Hautes Etudes Scientifiques
Karol Kampf Charles University
Klaus Bering Masaryk U
Kumar Abhinav S N Bose National Centre for Basic Sciences
Lance Dixon SLAC
Laurentiu Rodina Ipht, CEA Saclay
Leonardo de la Cruz University of Mainz
Leonardo Vernazza University of Edinburgh
Lionel Mason The Mathematical Institute, University of Oxford
Livia Ferro LMU
Lorenzo Magnea University of Torino
Lorenzo Tancredi KIT Karlsruhe
Luise Adams Institute for Physics, Johannes Gutenberg-University Mainz
Marco Chiodaroli Uppsala University
Marco Finocchiaro Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
Marco Stefano Bianchi Queen Mary University of London
Marcus Spradlin Brown University
Martijn Hidding Trinity College Dublin
Matin Mojaza AEI Potsdam
Matteo Parisi Mathematical Institute, Oxford
Matthew von Hippel Perimeter Institute for Theoretical Physics
Matthias Wilhelm Niels Bohr institute
Matthieu Jaquier Albert-Ludwigs-Universität Freiburg
Michal Pazderka Masaryk University
Miguel Fernandes Paulos CERN
N. Emil J. Bjerrum-Bohr Niels Bohr Institute, Niels Bohr International Academy
Nathan Moynihan UCT
Oliver Schlotterer Max Planck Institut fuer Gravitationsphysik (AEI Potsdam)
Oluf Tang Engelund Uppsala University
Paolo Benincasa Perimeter Institute for Theoretical Physics
Paolo Di Vecchia Nordita
Paul Mansfield Maths Dept, Durham University
Philipp Haehnel Trinity College Dublin
Pierre Vanhove IPhT CEA-Saclay
Piotr Tourkine DAMTP, University of Cambridge
Radu Roiban Pennsylvania State university
Raffaele Marotta INFN - Naples
Ricardo Monteiro QMUL
Robert Schabinger Trinity College Dublin
Robert Whelan Trinity College Dublin
Robin Marzucca UCLouvain
Rodolfo Panerai Queen Mary University of London
Roman Lee Budker Institute of Nuclear Physics
Rutger Boels Universität Hamburg
Ruth Britto Trinity College Dublin
Samuel Abreu Freiburg University
Sebastian Mizera Perimeter Institute for Theoretical Physics
Simon Badger IPPP
Simon Caron-Huot McGill University
Stefan Druc University of Southampton
Stefan Weinzierl University of Mainz
Steven Charlton Universität Tübingen
Thales Azevedo Uppsala University
Theresa Abl ETH Zürich
Tianheng Wang Nanjing University
Till Bargheer DESY
Tiziano Peraro University of Edinburgh
Tomasz Lukowski University of Oxford
vittorio del duca ETH
Vsevolod Chestnov DESY
Vuong-Viet Tran Durham University
Walter Goldberger Yale University
Xiangrui Gao Institute of Theoretical Physics,Chinese Academy of Sciences
Yang Zhang ETH Zürich
Yong Zhang Institute of Theoretical Physics, Chinese Academy of Sciences
Yuntao Bai Princeton University
Zhengwen Liu UCLouvain
Zhihzhong Li National Taiwan University
Ömer Gürdoğan University of Southampton


Higgs Centre Workshop
LT1, Appleton Tower
11 Crichton Street, Edinburgh


Key speakers

  • Nima ARKANI-HAMED (IAS,Princeton, NJ)
  • Bai, Yuntao (Princeton, NJ)
  • Brandhuber, Andreas
  • Volovich, Anastasia
  • Ferro, Livia
  • Chicherin, Dmitry
  • Papathanasiou, Georgios
  • Strominger, Andrew
  • Johannes HENN (Mainz)
  • Tiziano PERARO (University of Edinburgh)
  • Lee, Roman (Budker Institute of Nuclear Physics)
  • Von Manteuffel, Andreas (Michigan State University)
  • Leonardo VERNAZZA (University of Edinburgh)
  • Lorenzo TANCREDI (Karlsruhe University)
  • Page, Ben (Freiburg University)
  • Mistlberger, Bernhard (CERN)
  • Paulos, Miguel (CERN)
  • Brown, Francis (Oxford University)
  • Samuel ABREU (Freiburg University)
  • Pierre VANHOVE
  • Adams, Luise (Mainz University)
  • David BROADHURST (Open University, UK)
  • Roiban, Radu (Pennstate University)
  • Yang, Gang (Chinese Academy of Sciences, Beijing)
  • Schlotterer, Oliver (The Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Potsdam)
  • Goldberger, Walter (Yale University)
  • Naculich, Stephen (Bowdoin college)
  • Herrmann, Enrico (Caltech)
  • Henrik JOHANSSON (University of Uppsala)
  • Arthur LIPSTEIN (Durham University)
  • Mason, Lionel (Oxford University)
  • Piotr TOURKINE (Cambridge University)
  • Eden, Burkhard (Humboldt University, Berlin)
  • Boels, Rutger (Desy, Hamburg)
  • Gomez, Humberto (Universidad Santiago de Cali, Colombia)
  • Bjerrum-Bohr, Emil (Niels Bohr Institute, Copenhagen)