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We calculate the order \lambda, \lambda^2 and \lambda y^2 terms of the 59 x 59 one-loop anomalous dimension matrix of dimension-six operators, where \lambda and y are the Standard Model Higgs self-coupling and a generic Yukawa coupling,…

High Energy Physics - Phenomenology · Physics 2020-07-16 Elizabeth E. Jenkins , Aneesh V. Manohar , Michael Trott

We compute the one-loop renormalisation group running of the bosonic Standard Model effective operators to order $v^4/\Lambda^4$, with $v\sim 246$ GeV being the electroweak scale and $\Lambda$ the unknown new physics threshold. We…

High Energy Physics - Phenomenology · Physics 2022-12-05 Mikael Chala , Guilherme Guedes , Maria Ramos , Jose Santiago

We extend the low-energy effective field theory relevant for b to s transitions up to operators of mass-dimension 7 and compute the associated anomalous-dimension matrix. We then compare our findings to the known results for dimension 6…

High Energy Physics - Phenomenology · Physics 2014-02-12 Guillaume Chalons , Florian Domingo

The renormalization of higher-dimensional operators in quantum field theory is essential for phenomenological analyses in particle physics, and plays a significant role in the study of critical phenomena. We present a framework for…

High Energy Physics - Phenomenology · Physics 2025-12-10 Guilherme Guedes , Jasper Roosmale Nepveu

We calculate the complete three-loop O(alpha_s^3) anomalous dimension matrix for the dimension-five dipole operators that arise in the Standard Model after integrating out the top quark and the heavy electroweak bosons. Our computation…

High Energy Physics - Phenomenology · Physics 2008-11-26 Martin Gorbahn , Ulrich Haisch , Mikolaj Misiak

We perform a systematic study of flavor-diagonal parity- and time-reversal-violating operators of dimension six which could arise from physics beyond the SM. We begin at the unknown high-energy scale where these operators originate. At this…

High Energy Physics - Phenomenology · Physics 2013-06-04 W. Dekens , J. de Vries

Using on-shell methods, we present a new perturbative non-renormalization theorem for operator mixing in massless four-dimensional quantum field theories. By examining how unitarity cuts of form factors encode anomalous dimensions we show…

High Energy Physics - Phenomenology · Physics 2020-05-05 Zvi Bern , Julio Parra-Martinez , Eric Sawyer

We calculate the renormalisation group running of the bosonic Standard Model (SM) effective operators at one loop and to order $v^4/\Lambda^4$, with $v\sim 246$ GeV being the electroweak scale and $\Lambda$ the unknown new physics…

High Energy Physics - Phenomenology · Physics 2023-09-29 Supratim Das Bakshi , Mikael Chala , Álvaro Díaz-Carmona , Guilherme Guedes

The precise measurement of the width difference \Delta\Gamma_s among the mass eigenstates of the B_s-\bar{B}_s system requires the calculation of the corresponding decay matrix to order \alpha_s/m_b. QCD corrections to power-suppressed…

High Energy Physics - Phenomenology · Physics 2026-04-01 Artyom Hovhannisyan , Ulrich Nierste

We compute the one-loop anomalous dimensions of the low-energy effective Lagrangian below the electroweak scale, up to terms of dimension six. The theory has 70 dimension-five and 3631 dimension-six Hermitian operators that preserve baryon…

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

Within the framework of $B$-meson light-cone sum rules, we compute the one-loop level QCD corrections to $B\to \pi$ transition form factors at small $ q^{2}$ region, in implement of a complete renormalization group equation evolution. To…

High Energy Physics - Phenomenology · Physics 2018-03-14 Yue-Long Shen , Yan-Bing Wei , Cai-Dian Lü

We present the third part of a systematic calculation of the two-loop anomalous dimensions for the low-energy effective field theory below the electroweak scale (LEFT): insertions of dimension-six operators that conserve baryon number. In…

High Energy Physics - Phenomenology · Physics 2026-02-05 Luca Naterop , Peter Stoffer

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

Extensions of the Standard Model which involve a new scale, $\Lambda$, may, for energies sufficiently small compared to this new scale, be expressed in terms of operators with energy dimension greater than four. The coefficients of just…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. Hagiwara , S. Matsumoto , R. Szalapski

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

We study dimension-seven operators in standard model effective field theory. These operators are classified into two sets, one violating lepton number but preserving baryon number ($\Delta L=\pm 2$, $\Delta B=0$) and the other violating…

High Energy Physics - Phenomenology · Physics 2016-08-02 Yi Liao , Xiao-Dong Ma

The recent evidence for the decay $B^+ \to K^+ \nu \bar{\nu}$ reported by the Belle II collaboration, combined with the existing constraints on the neutral mode $B^0 \to K^{*0} \nu \bar{\nu}$, implies a deviation from the Standard Model…

High Energy Physics - Phenomenology · Physics 2026-01-27 Xin-Shuai Yan , Wen-Feng Liu , Qin Chang , Ya-Dong Yang

We study the mixing of operators under renormalization group flow in quantum theories, and prove a non-renormalization theorem at non-linear order. It dictates zeros up to a certain number of loops in anomalous dimension tensors that…

High Energy Physics - Phenomenology · Physics 2023-03-15 Weiguang Cao , Franz Herzog , Tom Melia , Jasper Roosmale Nepveu

Latest experimental progress is reviewed on the searches for physics beyond the Standard Model using the radiative and electroweak penguin decays of B mesons. This review covers inclusive and exclusive measurements of the b --> s gamma, b…

High Energy Physics - Experiment · Physics 2007-05-23 Mikihiko Nakao

The renormalization group evolution of $\Delta B=2$ transition operators is studied at leading order in heavy quark effective theory and at next-to-leading order in QCD. We calculate new contributions that were not taken into account in…

High Energy Physics - Phenomenology · Physics 2009-10-09 Gerhard Buchalla
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