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We consider general renormalizable scalar field theory and derive six-loop beta functions for all parameters in d = 4 dimensions within the $\overline{MS}$-scheme. We do not explicitly compute relevant loop integrals but utilize…

High Energy Physics - Phenomenology · Physics 2021-04-28 Alexander Bednyakov , Andrey Pikelner

A model-independent anatomy of $\Delta F= 2$ transitions in the context of the Weak Effective Theory (WET) below the electroweak scale (EW) and the Standard Model Effective Field Theory (SMEFT) above the EW scale is discussed. Two master…

High Energy Physics - Phenomenology · Physics 2022-02-22 Jason Aebischer

On-shell amplitude methods allow to derive one-loop renormalization effects from just tree-level amplitudes, with no need of loop calculations. We derive a simple formula to obtain the anomalous dimensions of higher-dimensional operators…

High Energy Physics - Phenomenology · Physics 2021-05-05 Pietro Baratella , Clara Fernandez , Alex Pomarol

This work is based on a bottom{-}up approach to the standard{-}model effective field theory (SMEFT), resulting in an equiprobable space of Wilson coefficients. The randomly generated Wilson coefficients of the SMEFT (in the Warsaw basis)…

High Energy Physics - Phenomenology · Physics 2023-02-08 Federico Camponovo , Giampiero Passarino

In this article, a complete analysis of the three muonic lepton-flavour violating processes $\mu\to e \gamma$, $\mu\to 3e$ and coherent nuclear $\mu\to e$ conversion is performed in the framework of an effective theory with dimension six…

High Energy Physics - Phenomenology · Physics 2017-05-30 Andreas Crivellin , Sacha Davidson , Giovanni Marco Pruna , Adrian Signer

Series for the Wilson functions of an ``environmentally friendly'' renormalization group are computed to two loops, for an $O(N)$ vector model, in terms of the ``floating coupling'', and resummed by the Pad\'e method to yield crossover…

High Energy Physics - Theory · Physics 2008-11-26 Denjoe O'Connor , C. R. Stephens

In the 't Hooft-Veltman dimensional regularization scheme it is necessary to introduce finite counterterms to satisfy chiral Ward identities. It is a non-trivial task to evaluate these counterterms even at two loops. We suggest the use of…

High Energy Physics - Theory · Physics 2009-10-31 M. Pernici , M. Raciti , F. Riva

We showed in a previous publication that there are six independent dimension-seven operators violating both lepton and baryon numbers ($L=-B=1$) and twelve ones violating lepton but preserving baryon number ($L=2,~B=0$) in standard model…

High Energy Physics - Phenomenology · Physics 2019-05-01 Yi Liao , Xiao-Dong Ma

The one-loop renormalization of the action for a set Dirac fermions and a set of scalars spanning an arbitrary manifold coupled via Yukawa-like and gauge interactions is presented. The computation is performed with functional methods and in…

High Energy Physics - Phenomenology · Physics 2018-02-21 R. Alonso , K. Kanshin , S. Saa

The Standard Model Effective Field Theory (SMEFT) provides a robust framework for probing deviations in the couplings of Standard Model particles from their theoretical predictions. This framework relies on an expansion in…

High Energy Physics - Phenomenology · Physics 2025-01-22 Nilabhra Adhikary , Tisa Biswas , Joydeep Chakrabortty , Christoph Englert , Michael Spannowsky

Meson-antimeson mixing provides the most stringent constraints on baryon- and lepton-number conserving New Physics, probing scales higher than $10^5$ TeV. In the context of the effective theory of weak interactions, these constraints…

High Energy Physics - Phenomenology · Physics 2019-11-04 Luca Silvestrini , Mauro Valli

We apply the covariant derivative expansion of the Coleman-Weinberg potential to the sfermion sector in the minimal supersymmetric standard model, matching it to the relevant dimension-6 operators in the standard model effective field…

High Energy Physics - Phenomenology · Physics 2018-04-25 Ran Huo

We derive a general formula for two-loop counterterms in Effective Field Theories (EFTs) using a geometric approach. This formula allows the two-loop results of our previous paper to be applied to a wide range of theories. The two-loop…

High Energy Physics - Phenomenology · Physics 2023-11-13 Elizabeth E. Jenkins , Aneesh V. Manohar , Luca Naterop , Julie Pagès

We employ the Forcer algorithm to renormalize a variety of six dimensional field theories to four loops. In order to achieve this we construct the Forcer master integrals in six dimensions from their four dimensional counterparts by using…

High Energy Physics - Theory · Physics 2024-07-18 J. A. Gracey

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

In this talk, we present the results of the complete one-loop matching of the seesaw model onto its low-energy effective theory by integrating out three right-handed neutrinos at the one-loop level. We find that there are 31 independent…

High Energy Physics - Phenomenology · Physics 2022-11-09 Di Zhang , Shun Zhou

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

We present an alternative method for carrying out a principal-component analysis of Wilson coefficients in standard model effective field theory (SMEFT). The method is based on singular-value decomposition (SVD). The SVD method provides…

High Energy Physics - Phenomenology · Physics 2020-07-03 Geoffrey T. Bodwin , Hee Sok Chung

We present the renormalisation group running of the bosonic operators of the Standard Model effective field theory by the Lepton Number Violating operators (LNVs) at 1-loop order up to $\mathcal{O}(v^4/\Lambda^4)$, with $v \sim 246$ GeV as…

High Energy Physics - Phenomenology · Physics 2023-07-12 Supratim Das Bakshi , Álvaro Díaz-Carmona

We explore the use of exact diagonalization methods for solving the self consistent equations of the cellular dynamical mean field theory (CDMFT) for the one dimensional regular and extended Hubbard models. We investigate the nature of the…

Strongly Correlated Electrons · Physics 2007-05-23 C. J. Bolech , S. S. Kancharla , G. Kotliar