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We present compact integral representations for the calculation of two-loop anomalous dimensions for a generic class of soft functions that are defined in terms of two light-like Wilson lines. Our results are relevant for the resummation of…

High Energy Physics - Phenomenology · Physics 2019-03-28 Guido Bell , Rudi Rahn , Jim Talbert

Soft-collinear effective theory (SCET) is used to sum Sudakov double-logarithms in the x ->1 endpoint region for the deep inelastic scattering structure function. The calculations are done in both the target rest frame and the Breit frame.…

High Energy Physics - Phenomenology · Physics 2009-11-10 Aneesh V. Manohar

We extend the recent one loop analysis of the ultraviolet completion of the $CP(N)$ nonlinear $\sigma$ model in six dimensions to two loop order in the MSbar scheme for an arbitrary covariant gauge. In particular we compute the anomalous…

High Energy Physics - Theory · Physics 2020-08-26 J. A. Gracey

The asymptotic kinematic limits of S-matrices are dominated by large logarithms which, roughly speaking, fall into two categories: those which are controlled by a renormalization group (RG) scale, which we may think of as logs involving…

High Energy Physics - Theory · Physics 2024-06-13 Ira Z. Rothstein , Michael Saavedra

The late time limit of the power spectrum for heavy (principal series) fields in de Sitter space yields a series of polynomial terms with complex scaling dimensions. Such scaling behavior is expected to result from an associated operator…

High Energy Physics - Theory · Physics 2024-07-12 Timothy Cohen , Daniel Green , Yiwen Huang

Using an effective field theory (EFT) formalism for forward scattering, we reconsider the factorization of $2\to 2$ scattering amplitudes in the Regge limit. Expanding the amplitude in gauge invariant operators labelled by the number of…

High Energy Physics - Phenomenology · Physics 2023-07-14 Ian Moult , Sanjay Raman , Gregory Ridgway , Iain W. Stewart

We examine the renormalizability problem of spontaneously broken non-Abelian gauge theory on noncommutative spacetime. We show by an explicit analysis of the U(2) case that ultraviolet divergences can be removed at one loop level with the…

High Energy Physics - Theory · Physics 2010-02-03 Yi Liao

The Wilson Coefficients for all 4-parton operators which arise in matching QCD to Soft-Collinear Effective Theory (SCET) are computed at 1-loop. Any dijet observable calculated in SCET beyond leading order will require these results. The…

High Energy Physics - Phenomenology · Physics 2012-04-18 Randall Kelley , Matthew D. Schwartz

It is well known that soft singularities of massless amplitudes are significantly simpler than those of massive ones. However, the computation of the soft anomalous dimension (AD) using Wilson-lines correctors is only straightforward in the…

High Energy Physics - Phenomenology · Physics 2025-09-23 Einan Gardi , Zehao Zhu

The resummed differential thrust rate in e+e- annihilation is calculated using Soft-Collinear Effective Theory (SCET). The resulting distribution in the two-jet region T~1 is found to agree with the corresponding expression derived by the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Matthew D. Schwartz

We consider noncommutative GUT inspired field theories formulated within the enveloping-algebra formalism for anomaly safe compact simple gauge groups. Our theories have only gauge fields and fermions, and we compute the UV divergent part…

High Energy Physics - Theory · Physics 2010-01-18 C. P. Martin , C. Tamarit

A number of important observables exhibit logarithms in their perturbative description that are induced by emissions at widely separated rapidities. These include transverse-momentum ($q_T$) logarithms, logarithms involving heavy-quark or…

High Energy Physics - Phenomenology · Physics 2019-04-24 Markus A. Ebert , Ian Moult , Iain W. Stewart , Frank J. Tackmann , Gherardo Vita , Hua Xing Zhu

Radiative symmetry breaking (RSB) is a theoretically appealing framework for the generation of mass scales through quantum effects. It can be successfully implemented in models with extended scalar and gauge sectors. We provide a systematic…

High Energy Physics - Phenomenology · Physics 2018-08-23 Leonardo Chataignier , Tomislav Prokopec , Michael G. Schmidt , Bogumila Swiezewska

In this paper, how to modulate entanglement dynamics of two V-type atoms in dissipative cavity by detuning, weak measurement and weak measurement reversal is studied. The analytical solution of this model is obtained by solving Schrodinger…

Quantum Physics · Physics 2024-08-09 Fuhua Li , Jia Wang , Hong-Mei Zou , Qiying Pan , Chenya Liu , Zhuang Qu

We demonstrate the consistency at the next-to-leading-logarithmic (NLL) level of a factorization theorem based on Soft-Collinear Effective Theory (SCET) for jet shapes in e+e- collisions. We consider measuring jet observables in exclusive…

High Energy Physics - Phenomenology · Physics 2010-05-25 Stephen D. Ellis , Andrew Hornig , Christopher Lee , Christopher K. Vermilion , Jonathan R. Walsh

We develop a framework of calculating entanglement entropy for non-conformal field theories with the use of the dilaton effective action. To illustrate it, we locate a theory on a cylinder $\mathbb{R} \times \mathbb{S}^{2}$ and compute…

High Energy Physics - Theory · Physics 2016-04-20 Shamik Banerjee , Yuki Nakaguchi , Tatsuma Nishioka

These lectures aim to provide a pedagogical introduction to the philosophical underpinnings and technical features of Effective Field Theory (EFT). Improving control of $S$-matrix elements in the presence of a large hierarchy of physical…

High Energy Physics - Phenomenology · Physics 2020-08-31 Timothy Cohen

We suggest that at any given order of Feynman diagram calculation all renormalization group (RG)-predictable terms should be resummed to all-orders. This ``complete'' RG-improvement (CORGI) serves to separate the perturbation series into…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. J. Maxwell

We describe the on-shell method to deriving the Renormalization Group (RG) evolution of Wilson coefficients of high dimensional operators at one loop, which is a necessary part in the on-shell construction of the Standard Model Effective…

High Energy Physics - Phenomenology · Physics 2021-02-03 Minyuan Jiang , Teng Ma , Jing Shu

The general structure of infrared divergences in the scattering of massive particles is captured by the soft anomalous dimension matrix. The latter can be computed from a correlation function of multiple Wilson lines. The state-of-the-art…

High Energy Physics - Phenomenology · Physics 2023-10-17 Johannes M. Henn , Calum Milloy , Kai Yan