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In the context of the Standard Model effective field theory (SMEFT), we study the LHC sensitivity to four fermion operators involving heavy quarks by employing cross section measurements in the $t\bar{t}b\bar{b}$ final state. Starting from…

High Energy Physics - Phenomenology · Physics 2018-12-06 Jorgen D'Hondt , Alberto Mariotti , Ken Mimasu , Seth Moortgat , Cen Zhang

In the context of the Standard Model effective field theory (SMEFT), we study the LHC sensitivity to four fermion operators involving heavy quarks by employing cross section measurements in the $t\bar{t}b\bar{b}$ final state. Starting from…

High Energy Physics - Phenomenology · Physics 2018-11-26 Jorgen D'Hondt , Alberto Mariotti , Ken Mimasu , Seth Moortgat , Cen Zhang

We implement modular flavor symmetries within the Standard Model Effective Field Theory (SMEFT) framework, using the flavor group $A_4^{(q)} \times A_4^{(e)}$ with distinct moduli $\tau_q$ and $\tau_e$, and assigning different modular…

High Energy Physics - Phenomenology · Physics 2026-02-02 Luo-Jia Kang , Hao Sun , Jiang-Hao Yu

The effective field theory approach parameterizes the low energy behaviors of all possible ultraviolet (UV) theories in a systematic way. One of the most important tasks is thus to find the connection between the effective operators and…

High Energy Physics - Phenomenology · Physics 2023-09-29 Hao-Lin Li , Yu-Han Ni , Ming-Lei Xiao , Jiang-Hao Yu

We show that in boundary CFTs, there exists a one-to-one correspondence between the boundary operator expansion of the two-point correlation function and a power series expansion of the layer susceptibility. This general property allows the…

High Energy Physics - Theory · Physics 2020-12-11 Parijat Dey , Tobias Hansen , Mykola Shpot

The Effective Field Theory of Large-Scale Structure (EFTofLSS) attempts to amend some of the shortcomings of the traditional perturbative methods used in cosmology. It models the evolution of long-wavelength perturbations above a cutoff…

Cosmology and Nongalactic Astrophysics · Physics 2024-08-15 Mandar Karandikar , Cristiano Porciani , Oliver Hahn

When integrating out unknown new physics sectors, what is the minimal character of the Standard Model Effective Field Theory (SMEFT) that can result? In this paper we focus on a particular aspect of this question: "How can one obtain only…

High Energy Physics - Phenomenology · Physics 2017-04-28 Yun Jiang , Michael Trott

The gauge-invariant operators up to dimension six in the low-energy effective field theory below the electroweak scale are classified. There are 70 Hermitian dimension-five and 3631 Hermitian dimension-six operators that conserve baryon and…

High Energy Physics - Phenomenology · Physics 2024-03-21 Elizabeth E. Jenkins , Aneesh V. Manohar , Peter Stoffer

We consider the effective potential in three-dimensional models with O(N) symmetry. For generic values of N, and in particular for the physically interesting cases N=0,1,2,3, we determine the six-point and eight-point renormalized coupling…

Statistical Mechanics · Physics 2009-10-31 A. Pelissetto , E. Vicari

We consider the uniform asymptotic expansion for the Gauss hypergeometric function \[F(a+\epsilon\lambda,m;c+\lambda;x),\qquad \lambda\to+\infty\] for $x<1$ and positive integer $m$ when the parameter $\epsilon>1$ and the constants $a$ and…

Classical Analysis and ODEs · Mathematics 2018-10-16 R B Paris

Attempts to apply effective field theory (EFT) methods to nonrelativistic nucleon-nucleon (NN) scattering have raised questions about the nature and limitations of an EFT expansion when used nonperturbatively. We discuss the characteristics…

Nuclear Theory · Physics 2009-10-31 James V. Steele , R. J. Furnstahl

We derive an analytic series solution of the elliptic equations providing the 4-tachyon off-shell amplitude in cubic string field theory (CSFT). From such a solution we compute the exact coefficient of the quartic effective action relevant…

High Energy Physics - Theory · Physics 2010-02-03 Valentina Forini , Gianluca Grignani , Giuseppe Nardelli

We study the "inverse problem" in the context of the Standard Model Effective Field Theory (SMEFT): how and to what extend can one reconstruct the UV theory, given the measured values of the operator coefficients in the IR? The main…

High Energy Physics - Phenomenology · Physics 2023-01-04 Cen Zhang

We review the Extended Mean Field Theory (EMFT) approximation and apply it to complex, scalar $\phi^4$-theory on the lattice. We study the critical properties of the Bose condensation driven by a nonzero chemical potential $\mu$ at both…

High Energy Physics - Lattice · Physics 2014-09-10 Oscar Akerlund , Philippe de Forcrand , Antoine Georges , Philipp Werner

Hamiltonian Truncation Effective Theory is a framework that aims to improve the results of Hamiltonian truncation in a systematic, order-by-order fashion using Effective Field Theory methodology. The result is a truncated effective…

High Energy Physics - Theory · Physics 2025-07-30 Ekrem Demiray , Kara Farnsworth , Rachel Houtz

We establish formulae for the asymptotic growth (with respect to the scaling dimension) of the number of operators in effective field theory, or equivalently the number of $S$-matrix elements, in arbitrary spacetime dimensions and with…

High Energy Physics - Theory · Physics 2021-05-19 Tom Melia , Sridip Pal

The four point function of Conformal Field Theories (CFT's) with global symmetry gives rise to multiple crossing symmetry constraints. We explicitly study the correlator of four scalar operators transforming in the fundamental…

High Energy Physics - Theory · Physics 2015-05-28 Alessandro Vichi

Effective field theories (EFT) parameterize the long-distance effects of short-distance dynamics whose details may or may not be known. It is known that EFT coefficients must obey certain positivity constraints if causality and unitarity…

High Energy Physics - Theory · Physics 2021-06-16 Simon Caron-Huot , Vincent Van Duong

Matched asymptotic expansion is a useful technique in General Relativity and other fields whenever interaction takes place between physics at two different length scales. Here matched asymptotic expansion is argued to be equivalent quite…

High Energy Physics - Theory · Physics 2008-11-26 Barak Kol , Michael Smolkin

We describe in some detail the derivation of a power counting formula for the soft-collinear effective theory (SCET). This formula constrains which operators are required to correctly describe the infrared at any order in the Lambda_QCD/Q…

High Energy Physics - Phenomenology · Physics 2009-11-07 Christian W. Bauer , Dan Pirjol , Iain W. Stewart
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