Amplitudes

10 Jul 2017, 08:00 → 14 Jul 2017, 18:00 Europe/London

Higgs Centre, The University of Edinburgh

Anastasia Volovich (Brown University), Chris White (Queen Mary University of London), Claude Duhr (CERN and Université catholique de Louvain), Donal O'Connell (University of Edinburgh), Einan Gardi (The University of Edinburgh), Gregory Korchemsky (CEA, Saclay), Lance Dixon (SLAC, Stanford University), Lorenzo Magnea (Turin University), Lyndsey Ballantyne (University of Edinburgh), Nigel Glover, Ruth Britto (Trinity College Dublin and CEA, Saclay), Simon Badger (The University of Edinburgh), Stefan Weinzierl (Mainz University)

 

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 www.edinburghrewards.com 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.

• 2009: IPPP, Durham
• 2010: Queen Mary University of London
• 2011: University of Michigan, Ann Arbor
• 2012: DESY, Hamburg
• 2013: Max-Planck-Institut für Physik
• 2014: IPhT Saclay
• 2015: Zürich
• 2016: Nordita, Stockholm

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

• 2018: SLAC/Stanford

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)

Poster

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Sponsors

                              

Video https://media.ed.ac.uk/media/Amplitudes+2017+Conference+introduction/1_zpltlhvw

Monday 10 July ¶

09:30 → 09:40 Welcome¶

Video https://media.ed.ac.uk/media/Amplitudes+2017+Conference+introduction/1_zpltlhvw

09:45 → 10:30 Spacetime, Quantum Mechanics and Positive Geometry: From Scattering Amplitudes to the Wavefunction of the Universe¶

Speaker: Nima Arkani-Hamed (IAS,Princeton, NJ)

Slides Arkani-Hamed_Amplitudes2017.pdf

Video https://media.ed.ac.uk/media/Amplitudes+2017+ConferenceA+Nima+Arkani-Hamed+-+Spacetime%2C+Quantum+Mechanics+and+Positive+GeometryA+From+Scattering+Amplitudes+to+the+Wavefunction+of+the+Universe/1_ohot1772

10:35 → 11:05 Positive Geometries and Canonical Forms: Scattering Amplitudes and the Associahedron¶

Speaker: Yuntao Bai (Princeton, NJ)

Slides Positive Geometries and Canonical Forms

Video https://media.ed.ac.uk/media/Amplitudes+2017+ConferenceA+Yuntao+Bai+-+Positive+Geometries+and+Canonical+FormsA+Scattering+Amplitudes+and+the+Associahedron/1_sovms1py

11:10 → 12:00 Coffee Break

12:00 → 12:30 The connected prescription for form factors in twistor space¶

Speaker: Andreas Brandhuber

Slides FF-talk-amplitudes-2017.key

Video https://media.ed.ac.uk/media/Amplitudes+2017+ConferenceA+Andreas+Brandhuber+-+The+connected+prescription+for+form+factors+in+twistor+space/1_h5lll2dy

12:35 → 13:05 Landau Singularities from the Amplituhedron¶

Speaker: Anastasia Volovich

Slides 2017-07-amplitudes.pptx

Video https://media.ed.ac.uk/media/Amplitudes+2017+ConferenceA+Anastasia+Volovich+-+Landau+Singularities+from+the+Amplituhedron/1_y4s802nh

13:10 → 14:40 Lunch Break

14:40 → 15:10 Symmetries of the Amplituhedron¶

Speaker: Livia Ferro

Slides Amplitudes2017_upload.pdf

Video https://media.ed.ac.uk/media/Amplitudes+2017+ConferenceA+Livia+Ferro+-+Symmetries+of+the+Amplituhedron/1_4gh9w8nf

15:15 → 15:45 The duality of Wilson loop form factors¶

Speaker: Dmitry Chicherin

Slides PresentationEdinburghJuly2017.pdf

Video https://media.ed.ac.uk/media/Amplitudes+2017+ConferenceA+Dmitry+Chicherin+-+The+duality+of+Wilson+loop+form+factors/1_2bd7eo99

15:50 → 16:40 Coffee Break

16:40 → 17:10 The Steinmann Cluster Bootstrap for N=4 SYM Amplitudes¶

Speaker: Georgios Papathanasiou

Slides Papathanasiou_Amplitudes2017.pdf

Video https://media.ed.ac.uk/media/Amplitudes+2017+ConfernceA+Georgios+Papathanasiou+-+The+Steinmann+Cluster+Bootstrap+for+ND4+SYM+Amplitudes/1_8e75hgkv

17:15 → 17:45 Soft Theorems¶

Speaker: Andrew Strominger

Slides stromingeramplitudes.pdf stromingeramplitudes.pptx

Video https://media.ed.ac.uk/media/Amplitudes+2017+ConferenceA+Andrew+Strominger+-+Soft+Theorems/1_8cv6bu7k

17:45 → 19:25 Reception and Poster Session¶

Tuesday 11 July ¶

09:45 → 10:30 Massive scattering amplitudes in N=4 super Yang-Mills¶

Speaker: Johannes Henn (Mainz)

Slides henn_amplitudes_2017.pdf

Video https://media.ed.ac.uk/media/Amplitudes+2017A+Johannes+HENN+%28Mainz%29+-+Massive+scattering+amplitudes+in+ND4+super+Yang-Mills/1_1oi9d7xb

10:35 → 11:05 Finite fields and multivariate reconstruction techniques for scattering amplitudes¶

Speaker: Tiziano Peraro (University of Edinburgh)

Slides Peraro_Tiziano.pdf

Video https://media.ed.ac.uk/media/Amplitudes+2017A+Tiziano+Peraro+%28Edinburgh%29+-+Finite+fields+and+multivariate+reconstruction+techniques+for+scattering+amplitudes+/1_9egyqa2z

11:10 → 12:00 Coffee Break

12:00 → 12:30 Reducing differential systems for multiloop integrals¶

Speaker: Roman Lee (Budker Institute of Nuclear Physics)

Slides LeeAmplitudes.pdf

Video https://media.ed.ac.uk/media/Amplitudes+2017A+Roman+Lee+%28Novosibirsk%29+-+Reducing+differential+systems+for+multiloop+integrals/1_jl2l7gga

12:35 → 13:05 Feynman integrals in QCD¶

Speaker: Andreas Von Manteuffel (Michigan State University)

Slides manteuffel-amplitudes-2017.pdf

Video https://media.ed.ac.uk/media/Amplitudes+2017A+Andreas+von+Manteuffel+%28MSU%29+-+Feynman+integrals+in+QCD/1_r2fgsamj

13:10 → 14:40 Lunch break

14:40 → 15:10 Two-parton scattering in the high-energy limit¶

Speaker: Leonardo Vernazza (University of Edinburgh)

Slides Amplitudes-2017.pdf

Video https://media.ed.ac.uk/media/Amplitudes+2017A+Leonardo+Vernazza+%28Edinburgh%29+-+Two-parton+scattering+in+the+high-energy+limit/1_l844b3h0/60996171

15:15 → 15:45 Advancements and challenges in multiloop scattering amplitudes for the LHC¶

Speaker: Lorenzo Tancredi (Karlsruhe University)

Slides Tancredi_Amplitudes2017.pdf

Video https://media.ed.ac.uk/media/Amplitudes+2017A+Lorenzo+Tancredi+-+Advancements+and+challenges+in+multiloop+scattering+amplitudes+for+the+LHC/1_nqxzlbgj/60996171

15:50 → 16:40 Coffee Break

16:40 → 17:10 First Two-Loop Amplitudes with the Numerical Unitarity Method¶

Speaker: Ben Page (Freiburg University)

Slides 4Gluon.pdf

Video https://media.ed.ac.uk/media/Amplitudes+2017A+Ben+Page+%28Freiburg%29+-+First+Two-Loop+Amplitudes+with+the+Numerical+Unitarity+Method/1_nftiacmf/60996171

17:15 → 17:45 QCD at high orders for precision phenomenology at the LHC¶

Speaker: Bernhard Mistlberger (CERN)

Slides Mistlberger.pdf

Video https://media.ed.ac.uk/media/Amplitudes+2017A+Bernhard+Mistlberger+%28CERN%29+-+QCD+at+high+orders+for+precision+phenomenology+at+the+LHC/1_3k636kbe/60996171

17:50 → 18:20 Bootstrapping the S-matrix¶

Speaker: Miguel Paulos (CERN)

Slides SmatrixBS.pdf

Video https://media.ed.ac.uk/media/Amplitudes+2017A+Miguel+Paulos+%28CERN%29+-+Bootstrapping+the+S-matrix+/1_kc1w8kvy/60996171

Wednesday 12 July ¶

09:45 → 10:30 Introduction to motivic amplitudes and cosmic Galois group¶

Speaker: Francis Brown (Oxford University)

Video https://media.ed.ac.uk/media/Amplitudes+2017+ConferenceA+Francis+Brown+-+Introduction+to+motivic+amplitudes+and+cosmic+Galois+group/1_vknszu5q

10:35 → 11:05 Geometry and Hopf algebra of one-loop integrals and their cuts¶

Speaker: Samuel Abreu (Freiburg University)

Slides Amplitudes2017.pdf

Video https://media.ed.ac.uk/media/Amplitudes+2017+ConferenceA+Samuel+Abreu+-+Geometry+and+Hopf+algebra+of+one-loop+integrals+and+their+cuts/1_zjimlaix

11:10 → 12:00 Coffee Break

12:00 → 12:30 Feynman Integrals as Periods¶

Speaker: Pierre Vanhove

Slides sunset-amplitude-july2017.pdf

Video https://media.ed.ac.uk/media/Amplitudes+2017+ConferenceA+Pierre+Vanhove+-+Feynman+Integrals+as+Periods/1_vedogpck

12:35 → 13:05 An elliptic generalisation of polylogarithms for the sunrise and kite integrals¶

Speaker: Luise Adams (Mainz University)

Slides VortragEdinburgh.pdf

Video https://media.ed.ac.uk/media/Amplitudes+2017+ConferenceA+Luise+Adams+-+An+elliptic+generalisation+of+polylogarithms+for+the+sunrise+and+kite+integrals/1_pyuww5xb

13:10 → 14:40 Lunch Break

14:40 → 15:10 Feynman integrals, beyond polylogs, up to 20 loops¶

Speaker: David Broadhurst (Open University, UK)

Slides Broadhurst_edinburgh.pdf

Video https://media.ed.ac.uk/media/Amplitudes+2017+ConferenceA+David+Broadhurst+-+Feynman+integrals%2C+beyond+polylogs%2C+up+to+20+loops/1_3ft8my62

15:15 → 19:15 Arthur's Seat Hike + BBQ

Thursday 13 July ¶

09:45 → 10:30 Gravity and supergravity perturbation theory: a bird's eye view¶

Speaker: Radu Roiban (Pennstate University)

Slides Amplitudes_2017_RR.pdf

Video https://media.ed.ac.uk/media/Amplitudes+2017+ConferenceA+Radu+Roiban+-+Gravity+and+supergravity+perturbation+theoryA+a+bird%27s+eye+view/1_xxlk3dsw

10:35 → 11:05 Sudakov form factor and colour-kinematics duality at five loops¶

Speaker: Gang Yang (Chinese Academy of Sciences, Beijing)

Slides Amplitudes2017_Yang.pdf

Video https://media.ed.ac.uk/media/Amplitudes+2017+Conference+Gang+Yang+-+Sudakov+form+factor+and+colour-kinematics+duality+at+five+loops/1_yvprusxu

11:10 → 12:00 Coffee Break

12:00 → 12:30 Loop-level BCJ and KLT relations¶

Speaker: Oliver Schlotterer (The Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Potsdam)

Slides Amplitudes_OS.pdf

Video https://media.ed.ac.uk/media/Amplitudes+2017+ConferenceA+Oliver+Schlotterer+-+Loop-level+BCJ+and+KLT+relations/1_yb9ax4d0

12:35 → 13:05 Radiation and the classical double copy for colour charges¶

Speaker: Walter Goldberger (Yale University)

Slides amplitudes717.key.zip amplitudes717.pdf

Video https://media.ed.ac.uk/media/Amplitudes+2017+ConferenceA+Walter+Goldberger+-+Radiation+and+the+classical+double+copy+for+color+charges/1_2aueka77

13:10 → 14:40 Lunch Break

14:40 → 15:10 Soft Photon and Graviton Theorems in Effective Field Theory¶

Speaker: Stephen Naculich (Bowdoin college)

Slides Amplitudes2017_Naculich.pdf

Video https://media.ed.ac.uk/media/Amplitudes+2017+ConferenceA+Stephen+Naculich+-+Soft+Photon+and+Graviton+Theorems+in+Effective+Field+Theory/1_1izplbsv

15:15 → 15:45 From gravity on-shell diagrams to properties of scattering amplitudes¶

Speaker: Enrico Herrmann (Caltech)

Slides 2017_07_13_EH_Edinburgh.pdf

Video https://media.ed.ac.uk/media/Amplitudes+2017+ConferenceA+Enrico+Herrmann+-+From+gravity+on-shell+diagrams+to+properties+of+scattering+amplitudes/1_ookszvf6

15:50 → 16:40 Coffee Break

16:40 → 17:10 Scattering in Conformal Gravity¶

Speaker: Henrik Johansson (University of Uppsala)

Slides Edinburgh2017.pdf

Video https://media.ed.ac.uk/media/Amplitudes+2017+ConferenceA+Henrik+Johansson+-+Scattering+in+Conformal+Gravity/1_hnu4afaq

17:15 → 17:45 From 4d Ambitwistor Strings to On Shell Diagrams and Back¶

Speaker: Arthur Lipstein (Durham University)

Slides ambi2osd_edinburgh.pdf

Video https://media.ed.ac.uk/media/Amplitudes+2017+ConferenceA+Arthur+Lipstein+-+From+4d+Ambitwistor+Strings+to+On+Shell+Diagrams+and+Back/1_emuvwrhq

17:50 → 18:40 Poster Session¶

19:00 → 21:00 Dinner

Friday 14 July ¶

09:45 → 10:30 The scattering equations and ambitwistor strings¶

Speaker: Lionel Mason (Oxford University)

Slides ambi-amplitudes.pdf

Video https://media.ed.ac.uk/media/Amplitudes+2017A+Lionel+Mason+-+The+scattering+equations+and+ambitwistor+strings/1_xf1x5ib0

10:35 → 11:05 Higher-loop amplitude monodromy relations in string and gauge theory¶

Speaker: Piotr Tourkine (Cambridge University)

Slides tourkine-monodromies-amplitudes2017.pdf

Video https://media.ed.ac.uk/media/Amplitudes+2017A+Piotr+Tourkine+%28Cambridge%29+-+Higher-loop+amplitude+monodromy+relations+in+string+and+gauge+theory/1_vgnd4g24

11:10 → 12:00 Coffee Break

12:00 → 12:30 The Correlahedron¶

Speaker: Burkhard Eden (Humboldt University, Berlin)

Slides cHedronTalk.pdf

Video https://media.ed.ac.uk/media/Amplitudes+2017A+Burkhard+Eden+-+The+Correlahedron/1_jva816jn

12:35 → 13:05 The four-loop form factor in N = 4 super Yang-Mills theory¶

Speaker: Rutger Boels (Desy, Hamburg)

Slides Amplitudes2017_Boels.key

Video https://media.ed.ac.uk/media/Amplitudes+2017A+Rutger+Boels+-+The+four-loop+form+factor+in+N+D+4+super+Yang-Mills+theory/1_03pfau1v

13:10 → 14:40 Lunch Break

14:40 → 15:10 Scattering Equations and Feynman Loop Integrands¶

Speaker: Humberto Gomez (Universidad Santiago de Cali, Colombia)

Slides talkH.pdf

Video https://media.ed.ac.uk/media/Amplitudes+2017A+Humberto+Gomez+-+Scattering+Equations+and+Feynman+Loop+Integrands/1_7pgg7tf4

15:15 → 15:45 Amplitudes from scattering equations at tree and loop order¶

Speaker: Emil Bjerrum-Bohr (Niels Bohr Institute, Copenhagen)

Slides AMP17_bjerrum-bohr.pptx

Video https://media.ed.ac.uk/media/Amplitudes+2017A+Emil+Bjerrum-Bohr+-+Amplitudes+from+scattering+equations+at+tree+and+loop+order+/1_so1f1yu8