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We study the off-shell structure of the two-loop effective action in $6D, {\cal N}=(1,1)$ supersymmetric gauge theories formulated in ${\cal N}=(1,0)$ harmonic superspace. The off-shell effective action involving all fields of $6D, {\cal…

High Energy Physics - Theory · Physics 2023-05-31 I. L. Buchbinder , E. A. Ivanov , B. S. Merzlikin , K. V. Stepanyantz

We develop tools for performing effective field theory (EFT) calculations in a manifestly gauge-covariant fashion. We clarify how functional methods account for one-loop diagrams resulting from the exchange of both heavy and light fields,…

High Energy Physics - Phenomenology · Physics 2016-04-06 Brian Henning , Xiaochuan Lu , Hitoshi Murayama

Using known all-loop results from the BFKL and generalized double-logarithmic equations and large spin limit we have recomputed the five-loop planar anomalous dimension of twist-2 operators without consideration of any wrapping effects. One…

High Energy Physics - Theory · Physics 2015-06-18 V. N. Velizhanin

We compute the complete $Q$-dependence of anomalous dimensions of traceless symmetric tensor operator $\phi^Q$ in $O(N)$ scalar theory to five-loop. The renormalization factors are extracted from $\phi^Q\rightarrow Q\phi$ form factors, and…

High Energy Physics - Theory · Physics 2022-08-30 Qingjun Jin , Yi Li

We revisit the Next-to-Leading Order (two-loop) contributions to the Anomalous Dimensions of $\Delta F = 1$ four-quark operators in QCD. We devise a test for anomalous dimensions, that we regard as of general interest, and by means of which…

High Energy Physics - Phenomenology · Physics 2025-06-19 Pol Morell , Javier Virto

We discuss the AdS/CFT duality from the perspective of integrable systems and establish a direct relationship between the dimension of single trace local operators composed of two types of scalar fields in N=4 super Yang-Mills and the…

High Energy Physics - Theory · Physics 2009-11-10 V. A. Kazakov , A. Marshakov , J. A. Minahan , K. Zarembo

Using unitarity methods, we compute, for several massive two-dimensional models, the cut-constructible part of the one-loop 2->2 scattering S-matrices from the tree-level amplitudes. We apply our method to various integrable theories,…

High Energy Physics - Theory · Physics 2015-06-15 Lorenzo Bianchi , Valentina Forini , Ben Hoare

Because the chiral-odd structure function h_1 will be measured in the polarized Drell-Yan process, it is important to predict the behavior of h_1 before the measurement. In order to study the Q^2 evolution of h_1, we discuss one and two…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Kumano , M. Miyama

We study the renormalization group of generic effective field theories that include gravity. We follow the on-shell amplitude approach, which provides a simple and efficient method to extract anomalous dimensions avoiding complications from…

High Energy Physics - Theory · Physics 2022-04-13 Pietro Baratella , Dominik Haslehner , Maximilian Ruhdorfer , Javi Serra , Andreas Weiler

We calculate the gauge terms of the one-loop anomalous dimension matrix for the dimension-six operators of the Standard Model effective field theory (SM EFT). Combining these results with our previous results for the $\lambda$ and Yukawa…

High Energy Physics - Phenomenology · Physics 2024-06-14 Rodrigo Alonso , Elizabeth E. Jenkins , Aneesh V. Manohar , Michael Trott

The renormalization group and operator product expansion are applied to the model of a passive scalar quantity advected by the Gaussian self-similar velocity field with finite, and not small, correlation time. The inertial-range energy…

Chaotic Dynamics · Physics 2009-11-07 L. Ts. Adzhemyan , N. V. Antonov , J. Honkonen

One of interesting issues in two-dimensional superconformal field theories is the existence of anomalous modular transformation properties appearing in some non-compact superconformal models, corresponding to the `mock modularity' in…

High Energy Physics - Theory · Physics 2020-05-19 Yuji Sugawara

We 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. We then present a novel strategy to compute this quantity…

High Energy Physics - Phenomenology · Physics 2026-04-22 Einan Gardi , Zehao Zhu

The renormalization of composite operators is a fundamental aspect of quantum field theory, relevant for the description of phase transitions and high energy phenomenology. We calculate the anomalous dimensions of a large set of operators…

High Energy Physics - Theory · Physics 2026-01-06 Johan Henriksson , Stefanos R. Kousvos , Jasper Roosmale Nepveu

In this paper we present the complete one-loop matching conditions, up to dimension-six operators of the Standard Model effective field theory, resulting by integrating out the two scalar leptoquarks $S_{1}$ and $S_{3}$. This allows a…

High Energy Physics - Phenomenology · Physics 2021-11-17 Valerio Gherardi , David Marzocca , Elena Venturini

The rapidity anomalous dimension controls the scaling of transverse momentum dependent observables in the Sudakov region. In a conformal theory it is equivalent to the soft anomalous dimension, but in QCD this relation is broken by…

High Energy Physics - Phenomenology · Physics 2022-09-14 Ian Moult , Hua Xing Zhu , Yu Jiao Zhu

This thesis discusses how the pure spinor formalism can be used to efficiently compute superstring scattering amplitudes. We emphasize the pure spinor superspace form of the kinematic factors, where the simplifying features of this language…

High Energy Physics - Theory · Physics 2009-03-26 Carlos R. Mafra

We calculate the one- and two-loop matching corrections in the Standard Model effective field theory (SMEFT) that impact electroweak precision measurements and flavour physics observables, focusing on the contributions of third-generation…

High Energy Physics - Phenomenology · Physics 2025-01-17 Ulrich Haisch , Luc Schnell

We investigate model independent top-quark corrections to $\Delta F = 2$ processes for the down-type quarks within the framework of the Standard Model Effective Field Theory. Dimension-six $\Delta F = 1$ operators contribute to them through…

High Energy Physics - Phenomenology · Physics 2019-08-08 Motoi Endo , Teppei Kitahara , Daiki Ueda

A common feature of tree-level holography is that a correlator in one theory can serve as a generating function for correlators in another theory with less continuous symmetry. This is the case for a family of 4d CFTs with eight…

High Energy Physics - Theory · Physics 2023-05-03 Connor Behan