# Amplitudes

## Event description

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

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

• 2009: IPPP Durham

• 2010: Queen Mary College, London

• 2011: University of Michigan, Ann Arbor

• 2012: DESY Hamburg

• 2013: Schloss Ringberg

• 2014: IPhT Saclay

• 2015: Zürich

• 2016: Nordita, Stockholm

The next conference in this series, following the one in Edinburgh, is:

• 2018: SLAC, Stanford, California

**Dates: 10-14****July 2017**

**Venue:** Higgs Centre for Theoretical Physics, Edinburgh

**Talk Schedule** can be found
here.

**Conference Dinner:** The conference dinner will be held at the Playfair
Library Hall on the evening of Thursday 13th July. Please indicate your
attendance on the registration form.

The Amplitudes meeting will be preceded by a summer school on scattering
amplitudes
aimed primarily at PhD students working in the area. The School will take
place between **3-8 July 2017** at the Higgs Centre for Theoretical Physics.

**Organisers**

• Simon Badger (Durham)

• Claude Duhr (CERN / Université Catholique de Louvain)

• Einan Gardi (Edinburgh)

• Nigel Glover (Durham)

• Donal O’Connell (Edinburgh)

**Advisory Committee**

• Lance Dixon (SLAC)

• Lorenzo Magnea (Torino)

• Stefan Weinzierl (Mainz)

• Ruth Britto (Dublin / Saclay)

• Gregory Korchemsky (Saclay)

**Funding is provided by:**

The Higgs Centre for Theoretical Physics (University of Edinburgh)

The Institute for Particle Physics Phenomenology (Durham University)

## Timetable

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′)
- Speaker(s):
- Nima ARKANI-HAMED (IAS,Princeton, NJ)

- 10 Jul / 09:35—10:05
- Positive Geometries and Canonical Forms: Scattering Amplitudes and the Associahedron (0h30′)
- Speaker(s):
- Bai, Yuntao (Princeton, NJ)

- 10 Jul / 11:00—11:30
- The connected prescription for form factors in twistor space (0h30′)
- Speaker(s):
- Brandhuber, Andreas

- 10 Jul / 11:35—12:05
- Landau Singularities from the Amplituhedron (0h30′)
- Speaker(s):
- Volovich, Anastasia

- 10 Jul / 13:40—14:10
- Symmetries of the Amplituhedron (0h30′)
- Speaker(s):
- Ferro, Livia

- 10 Jul / 14:15—14:45
- The duality of Wilson loop form factors (0h30′)
- Speaker(s):
- Chicherin, Dmitry

- 10 Jul / 15:40—16:10
- The Steinmann Cluster Bootstrap for N=4 SYM Amplitudes (0h30′)
- Speaker(s):
- Papathanasiou, Georgios

- 10 Jul / 16:15—16:45
- Soft Theorems (0h30′)
- Speaker(s):
- Andrew STROMINGER

- 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′)
- Speaker(s):
- Johannes HENN (Mainz)

- 11 Jul / 09:35—10:05
- Finite fields and multivariate reconstruction techniques for scattering amplitudes (0h30′)
- Speaker(s):
- Tiziano PERARO (University of Edinburgh)

- 11 Jul / 11:00—11:30
- Reducing differential systems for multiloop integrals (0h30′)
- Speaker(s):
- Lee, Roman (Budker Institute of Nuclear Physics)

- 11 Jul / 11:35—12:05
- Feynman integrals in QCD (0h30′)
- Speaker(s):
- Von Manteuffel, Andreas (Michigan State University)

- 11 Jul / 13:40—14:10
- Two-parton scattering in the high-energy limit (0h30′)
- Speaker(s):
- Leonardo VERNAZZA (University of Edinburgh)

- 11 Jul / 14:15—14:45
- Advancements and challenges in multiloop scattering amplitudes for the LHC (0h30′)
- Speaker(s):
- Lorenzo TANCREDI (Karlsruhe University)

- 11 Jul / 15:40—16:10
- First Two-Loop Amplitudes with the Numerical Unitarity Method (0h30′)
- Speaker(s):
- Page, Ben (Freiburg University)

- 11 Jul / 16:15—16:45
- QCD at high orders for precision phenomenology at the LHC (0h30′)
- Speaker(s):
- Mistlberger, Bernhard (CERN)

- 11 Jul / 16:50—17:20
- Bootstrapping the S-matrix (0h30′)
- Speaker(s):
- Paulos, Miguel (CERN)

- 12 Jul / 08:45—09:30
- Introduction to motivic amplitudes and cosmic Galois group (0h45′)
- Speaker(s):
- Brown, Francis (Oxford University)

- 12 Jul / 09:35—10:05
- Geometry and Hopf algebra of one-loop integrals and their cuts (0h30′)
- Speaker(s):
- Samuel ABREU (Freiburg University)

- 12 Jul / 11:00—11:30
- Feynman Integrals as Periods (0h30′)
- Speaker(s):
- 12 Jul / 11:35—12:05
- An elliptic generalisation of polylogarithms for the sunrise and kite integrals (0h30′)
- Speaker(s):
- Adams, Luise (Mainz University)

- 12 Jul / 13:40—14:10
- Feynman integrals, beyond polylogs, up to 20 loops (0h30′)
- Speaker(s):
- David BROADHURST (Open University, UK)

- 13 Jul / 08:45—09:30
- Gravity and supergravity perturbation theory: a bird's eye view (0h45′)
- Speaker(s):
- Roiban, Radu (Pennstate University)

- 13 Jul / 09:35—10:05
- Sudakov form factor and colour-kinematics duality at five loops (0h30′)
- Speaker(s):
- Yang, Gang (Chinese Academy of Sciences, Beijing)

- 13 Jul / 11:00—11:30
- Loop-level BCJ and KLT relations (0h30′)
- Speaker(s):
- 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′)
- Speaker(s):
- Goldberger, Walter (Yale University)

- 13 Jul / 13:40—14:10
- Soft Photon and Graviton Theorems in Effective Field Theory (0h30′)
- Speaker(s):
- Naculich, Stephen (Bowdoin college)

- 13 Jul / 14:15—14:45
- From gravity on-shell diagrams to properties of scattering amplitudes (0h30′)
- Speaker(s):
- Herrmann, Enrico (Caltech)

- 13 Jul / 15:40—16:10
- Scattering in Conformal Gravity (0h30′)
- Speaker(s):
- Henrik JOHANSSON (University of Uppsala)

- 13 Jul / 16:15—16:45
- From 4d Ambitwistor Strings to On Shell Diagrams and Back (0h30′)
- Speaker(s):
- 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′)
- Speaker(s):
- Mason, Lionel (Oxford University)

- 14 Jul / 09:35—10:05
- Higher-loop amplitude monodromy relations in string and gauge theory (0h30′)
- Speaker(s):
- Piotr TOURKINE (Cambridge University)

- 14 Jul / 11:00—11:30
- The Correlahedron (0h30′)
- Speaker(s):
- Eden, Burkhard (Humboldt University, Berlin)

- 14 Jul / 11:35—12:05
- The four-loop form factor in N = 4 super Yang-Mills theory (0h30′)
- Speaker(s):
- Boels, Rutger (Desy, Hamburg)

- 14 Jul / 13:40—14:10
- Scattering Equations and Feynman Loop Integrands (0h30′)
- Speaker(s):
- Gomez, Humberto (Universidad Santiago de Cali, Colombia)

- 14 Jul / 14:15—14:45
- Amplitudes from scattering equations at tree and loop order (0h30′)
- Speaker(s):
- Bjerrum-Bohr, Emil (Niels Bohr Institute, Copenhagen)

### Amplitudes

### Venues

### Organisers

- Simon Badger(
- University of Turin

- Claude Duhr(
- CERN Theory Department
- CP3, UCLouvain

- Einan Gardi(
- University of Edinburgh

- Nigel Glover
- Donal O'Connell(
- University of Edinburgh

#### Key speakers

- Nima ARKANI-HAMED (IAS,Princeton, NJ)
- Bai, Yuntao (Princeton, NJ)
- Brandhuber, Andreas
- Volovich, Anastasia
- Ferro, Livia
- Chicherin, Dmitry
- Papathanasiou, Georgios
- Andrew STROMINGER
- 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)

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