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Restriction is a natural quasi-order on $d$-way tensors. We establish a remarkable aspect of this quasi-order in the case of tensors over a fixed finite field -- namely, that it is a well-quasi-order: it admits no infinite antichains and no…

Algebraic Geometry · Mathematics 2025-09-03 Andreas Blatter , Jan Draisma , Filip Rupniewski

The existence of universal soft limits for gauge-theory and gravity amplitudes has been known for a long time. The properties of the soft limits have been exploited in numerous ways; in particular for relating an n-point amplitude to an…

High Energy Physics - Theory · Physics 2015-05-30 Camille Boucher-Veronneau , Andrew J. Larkoski

We derive a factorization theorem for the Higgs boson transverse momentum (p_T) and rapidity (Y) distributions at hadron colliders, using the Soft Collinear Effective Theory (SCET), for m_h>> p_T>> \Lambda_{QCD} where m_h denotes the Higgs…

High Energy Physics - Phenomenology · Physics 2015-03-13 Sonny Mantry , Frank Petriello

BFSS proposed that asymptotically flat M-theory is dual to a large $N$ limit of the matrix quantum mechanics describing $N$ nonrelativistic D0-branes. Recent insights on the soft symmetries of any quantum theory of gravity in asymptotically…

High Energy Physics - Theory · Physics 2022-09-01 Noah Miller , Andrew Strominger , Adam Tropper , Tianli Wang

We prove collinear factorization theorem for the process $\pi\gamma^*\to\pi$ at the twist-3 level in the covariant gauge by means of the Ward identity, concentrating on the two-parton case. It is shown that soft divergences cancel and…

High Energy Physics - Phenomenology · Physics 2011-09-13 Makiko Nagashima , Hsiang-nan Li

We present an all-order generalized factorization formula for QCD scattering amplitudes in kinematical configurations where two or more momenta of the external partons become collinear. The singular behaviour of the scattering amplitudes in…

High Energy Physics - Phenomenology · Physics 2012-12-03 Stefano Catani , Daniel de Florian , German Rodrigo

We calculate the simultaneous double-soft limit of two massless closed strings scattering with any number of closed string tachyons to the subleading order at the tree level. The limit factorizes the scattering amplitude into a double-soft…

High Energy Physics - Theory · Physics 2020-05-13 Raffaele Marotta , Matin Mojaza

Double-soft theorems, like its single-soft counterparts, arises from the underlying symmetry principles that constrain the interactions of massless particles. While single soft theorems can be derived in a non-perturbative fashion by…

High Energy Physics - Theory · Physics 2017-12-11 Zhi-Zhong Li , Hung-Hwa Lin , Shun-Qing Zhang

We explore similarities and differences between widely-used threshold resummation formalisms, employing electroweak boson production as an instructive example. Resummations based on both full QCD and soft-collinear effective theory (SCET)…

High Energy Physics - Phenomenology · Physics 2014-06-10 George Sterman , Mao Zeng

Proof of factorization of soft and collinear divergences in non-equilibrium QCD may be necessary to study hadronic signatures of quark-gluon plasma at RHIC and LHC. In this paper we prove factorization of soft and collinear divergences in…

High Energy Physics - Phenomenology · Physics 2010-05-28 Gouranga C Nayak

We present a factorization formula for the $e + h \rightarrow e + \text{jet} + X$ cross section at small transverse momenta up to next-to-leading power (NLP), derived using the background field method (BFM) with explicit inclusion of soft…

High Energy Physics - Phenomenology · Physics 2025-07-08 Max Jaarsma , Oscar del Rio , Ignazio Scimemi , Wouter Waalewijn

We discuss recursion relations for scattering amplitudes with massive particles of any spin. They are derived via a two-parameter shift of momenta, combining a BCFW-type spinor shift with the soft limit of a massless particle involved in…

High Energy Physics - Theory · Physics 2023-01-11 Adam Falkowski , Camila S. Machado

We consider the correlation function of an arbitrary number of local observables in quantum field theory. We show that, at tree level in the strong field regime, these correlations arise solely from fluctuations in the initial state. We…

High Energy Physics - Theory · Physics 2017-10-25 Francois Gelis

Infrared subtraction algorithms beyond next-to-leading order necessitate the analysis of multiple infrared limits of scattering amplitudes, where several particles sequentially become soft or collinear. In this contribution, we report on…

High Energy Physics - Phenomenology · Physics 2024-07-11 Lorenzo Magnea , Calum Milloy , Chiara Signorile-Signorile , Paolo Torrielli

We propose quantum gravitational constraints on effective four-dimensional theories with N=1 supersymmetry. These Swampland constraints arise by demanding consistency of the worldsheet theory of a class of axionic, or EFT, strings whose…

High Energy Physics - Theory · Physics 2023-05-02 Luca Martucci , Nicolo Risso , Timo Weigand

Classical soft graviton theorem gives an expression for the spectrum of low frequency gravitational radiation, emitted during a classical scattering process, in terms of the trajectories and spin angular momenta of ingoing and outgoing…

General Relativity and Quantum Cosmology · Physics 2020-04-15 Alok Laddha , Ashoke Sen

Soft theorems in gauge theory and gravity encode the universal properties of scattering amplitudes as the zero frequency limit of one or more external states is approached. When the participating particles are treated in the massless limit,…

High Energy Physics - Theory · Physics 2021-07-15 Nikhil Kalyanapuram

In theories of Einstein gravity coupled with a dilaton and a two-form, a soft theorem for the two-form, known as the Kalb-Ramond B-field, has so far been missing. In this work we fill the gap, and in turn formulate a unified soft theorem…

High Energy Physics - Theory · Physics 2017-10-25 Paolo Di Vecchia , Raffaele Marotta , Matin Mojaza

We briefly discuss the soft behavior of scattering amplitudes both in string and quantum field theory. In particular we show a general argument about the validity of soft theorems for open superstring amplitudes and list some of our recent…

High Energy Physics - Theory · Physics 2016-09-21 Andrea L. Guerrieri

We study collinear and soft singularities in perturbative quantum gravity by constructing an effective field theory similar to soft-collinear effective theory for QCD (SCET). We find that the soft sector exhibits factorization properties…

High Energy Physics - Phenomenology · Physics 2015-06-05 Martin Beneke , Grisha Kirilin
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