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15/12/2025, 09:00
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15/12/2025, 09:25
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Alexander Goncharov ((Yale University))15/12/2025, 09:30
Scattering amplitudes can be (often) calculated via certain special functions
called multiple polylogarithms / their generalizations.I will introduce h-deformation of these functions.
The simplest of them is the quantum dilogarithm function, which comes with the
quantum deformation of the Abel's five term relation, and has many applications in Math and Physics.These...
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Simone Zoia15/12/2025, 10:45
The production of a top-quark pair with a jet is a key process in the physics programme of the Large Hadron Collider (LHC). Its sensitivity to fundamental Standard Model parameters and the rising precision of LHC data demand that this process is computed to at least next-to-next-to-leading order in QCD. The main obstacle are the relevant two-loop five-particle amplitudes, due to the appearance...
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Dani Kaufman15/12/2025, 11:30
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Sven-Olaf Moch15/12/2025, 14:00
We have computed the even-N moments of splitting functions at four-loop order in perturbative QCD, using off-shell operator renormalization for a general gauge group. These results agree with previous data and, combined with endpoint constraints, allowed us to develop precise approximations for the four-loop splitting functions, reducing uncertainties to about 1\% for relevant collider...
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Cristian Vergu15/12/2025, 14:45
I will review how to constrain the symbol and the beyond the symbol terms for various integrals by using the notion of Pham-Steinmann compatibility of Landau singularities.
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Song He15/12/2025, 16:30
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15/12/2025, 17:15
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15/12/2025, 19:00
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Thomas Gehrmann16/12/2025, 09:30
The advances in the analytical computation of loop (and phase space) integrals enable highly precise predictions for collider processes. Combined with accurate measurements from the LHC and earlier particle colliders, these predictions are used in precision determinations of Standard Model parameters and in indirect searches for new physics effects. We describe techniques and recent results...
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Andreas Brandhuber16/12/2025, 10:45
The Magnus expansion provides an interesting alternative to the celebrated Dyson expansion in quantum field theory, and found early applications in quantum mechanics, atomic and molecular physics, and numerical solutions of matrix linear differential equations. Applications to field theory are more recent and are linked to the rewriting of the S-matrix as the exponential of the N-operator,...
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Simon Telen16/12/2025, 11:30
We introduce the reciprocal A-determinant of a reciprocal linear space as an analog of the principal A-determinant of a toric variety. For an appropriate choice of the matrix A, the zero locus of the reciprocal A-determinant consists of the Landau singularities of a banana integral. I will explain the definition and illustrate it with examples. I will also introduce an analog of the GKZ...
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Herbert Gangl16/12/2025, 14:00
We will try to outline the journey of the first polylogarithmic "symbol'' as we perceived it personally, from its inception in algebraic K-theory to its heyday when Goncharov single-handedly developed the multiple polylog version, and highlight some of its striking successes.
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Julio Parra-Martínez16/12/2025, 14:45
It was recently understood that our favorite classes of special functions are not exclusive to quantum field theory, but also feature in perturbative computations in classical physics.
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I will explain how this comes about and provide a brief survey of the appearance of various classes of special functions in computations in perturbative classical General Relativity. -
Lance Dixon (SLAC/Stanford University)16/12/2025, 16:00
At the Large Hadron Collider, the copious scattering of quarks and gluons in quantum chromodynamics (QCD) produces Higgs bosons as well as many backgrounds to searches for new physics. Better theoretical precision for Standard Model cross sections is needed to match experimental improvements with the high-luminosity LHC upgrade. Quark and gluon scattering in QCD can be evaluated in...
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Matthew Schwartz17/12/2025, 09:30
The Landau bootstrap program attempts to completely determine a loop integral from its singular behavior. A finite number of possible singularities determine a finite alphabet and a finite set of symbol terms by which the integral can be expressed. Then increasingly subtle information about location and relations among singularities, such as their potential adjacency in the symbol, can be used...
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Einan Gardi17/12/2025, 10:45
I review the state-of-the-art knowledge of IR singularities in multileg QCD amplitudes, identifying the key reasons for the remarkable simplicity of the soft anomalous dimension. I then present a novel strategy to compute this quantity using a lightcone expansion of correlators of semi-infinite Wilson lines by the method of regions. Recently, this strategy allowed us to determine the...
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Kai Yan17/12/2025, 11:30
The N-point Energy Correlators (ENC) are locally finite observables in N=4 super Yang Mills theory. In the multi-collinear limit, these are Chen-iterated integrals over state-summed tree-level squared amplitudes. In this talk we establish mapping relations between (N+1)-point dual conformal feynman loop integrals and ENC by introducing Mellin amplitudes for the latter, exploiting Symanzik...
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Pierpaolo Mastrolia17/12/2025, 14:00
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François Charton17/12/2025, 14:45
Training AI models on instances of hard problems can provide insights on the underlying phenomenon. I will present two examples from theoretical physics and pure mathematics: learning the bootstrapped amplitude symbols of the 3-gluon form factor, in planar N=4 supersymmetric Yang Mills, and learning interesting properties of the Collatz sequence.
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Gregory Korchemsky17/12/2025, 16:00
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Andreas von Manteuffel17/12/2025, 16:45
Advances in the understanding of Feynman integrals and their associated
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special functions have enabled more precise predictions for high-energy
experiments. In this talk, I review calculations of phenomenologically
relevant scattering amplitudes that have greatly benefited from the
symbol calculus for multiple polylogarithms. In particular, I discuss cases
involving algebraic alphabets. -
17/12/2025, 19:00
By invitation only.
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James Drummond18/12/2025, 09:30
I will provide a review of cluster adjacency properties of scattering amplitudes in planar N=4 super Yang-Mills theory. I will then discuss the extent to which similar properties appear in more general massless scattering amplitudes.
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Anne Spiering18/12/2025, 10:45
Certain classes of Feynman integrals show integrable structures through Yangian differential equations they satisfy. I will present results of ongoing work on the implications at the level of the symbol, focusing on one-loop n-gon integrals in n dimensions.
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Lorenzo Tancredi18/12/2025, 11:30
Our understanding of scattering amplitudes in Gauge theories is tightly intertwined with our knowledge of polylogarithms. In this context, the symbol map has not only allowed us to make sense of their analytic properties but also to devise new calculational techniques. Building on our understanding of polylogarithms, this talk will illustrate how the emergence of new geometries in scattering...
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Nima Arkani-Hamed18/12/2025, 14:00
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Oliver Schlotterer18/12/2025, 14:45
Multiple polylogarithms at genus zero are by themselves multi-valued functions but can be completed to single-valued polylogarithms by adding suitable combinations of their complex conjugates and multiple zeta values. As a generalization to genus one, this talk presents an explicit construction of single-valued elliptic polylogarithms depending on one point on the torus where the monodromies...
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Benjamin Basso18/12/2025, 16:00
I will discuss the behavior of large-charge correlation functions in planar N=4 SYM in the so-called Origin limits, where many cross ratios simultaneously approach zero - corresponding to corners of the positive kinematic region. Focusing on two-dimensional kinematics, I’ll explain how these limits can be explored using tools from cluster algebras and the hexagon formalism. I will also present...
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18/12/2025, 16:45
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Nima Arkani-Hamed
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