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Related papers: Systematic classification of two-loop realizations…

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Extending the method successful for one-loop integrals, the computation of two-loop diagrams with general internal masses is discussed. For the two-loop vertex of non-planar type, as an example, we show a calculation related to…

High Energy Physics - Phenomenology · Physics 2011-03-02 J. FUJIMOTO , Y. SHIMIZU , K. KATO , T. KANEKO

If neutrino masses have a radiative origin, their smallness can be naturally understood even when lepton number violation occurs near the weak scale. We analyze a specific model of this type wherein the neutrino masses arise as two--loop…

High Energy Physics - Phenomenology · Physics 2009-11-07 K. S. Babu , C. Macesanu

Neutrino masses and mixings can be generated in many different ways, with some of these scenarios featuring new physics at energy scales relevant for Large Hadron Collider searches. A systematic approach to constructing a large class of…

High Energy Physics - Phenomenology · Physics 2013-04-17 Paul W. Angel , Nicholas L. Rodd , Raymond R. Volkas

Neutrino oscillations constitute the first experimental confirmation of new physics, as they require a new piece that is absent in the Standard Model, non-zero neutrino masses. Questions such as how these masses are generated or why they…

High Energy Physics - Phenomenology · Physics 2021-05-06 Ricardo Cepedello

In the simplest potentially realistic renormalizable variants of the flipped $SU(5)$ unified model the right-handed neutrino masses are conveniently generated by means of the Witten's two-loop mechanism. As a consequence, the compactness of…

High Energy Physics - Phenomenology · Physics 2018-11-28 Dylan Harries , Michal Malinský , Martin Zdráhal

We present a comprehensive analysis of neutrino mass and lepton mixing in theories with $A_5$ modular symmetry. We construct the weight 2, weight 4 and weight 6 modular forms of level 5 in terms of Dedekind eta-functions and Klein forms,…

High Energy Physics - Phenomenology · Physics 2019-12-11 Gui-Jun Ding , Stephen F. King , Xiang-Gan Liu

Opening up the Weinberg operator at 1-loop level using a scalar triplet, two scalar doublets and one fermion gives rise to T4-2-i one-loop topology. Neutrino masses generated from this topology are always accompanied by the tree level Type…

High Energy Physics - Phenomenology · Physics 2020-12-02 M. A. Loualidi , M. Miskaoui

The Zee-Babu model is an economical framework for neutrino mass generation as two-loop quantum corrections. In this work, we present a UV completion of this model by embedding it into an $SU(5)$ unified framework. Interestingly, we find…

High Energy Physics - Phenomenology · Physics 2025-02-25 K. S. Babu , Shaikh Saad

Models for Majorana neutrino masses can be classified according to the level in perturbation theory at which the effective dimension five operator $LLHH$ is realized. The possibilities range from the tree-level up to the three-loop level…

High Energy Physics - Phenomenology · Physics 2015-05-30 D. Aristizabal Sierra

We propose a framework for calculating two-loop Feynman diagrams which appear within a renormalizable theory in the general mass case and at finite external momenta. Our approach is a combination of analytical results and of high accuracy…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. Ghinculov , Y. -P. Yao

The topological classification of the one-loop Weinberg operator at dimension-5 enables a systematic categorization of radiative neutrino mass models. Among these, the category consisting loop-extended seesaw frameworks is theoretically…

High Energy Physics - Phenomenology · Physics 2026-02-17 Monal Kashav

We present the two-loop corrected operator matrix elements calculated in N-dimensional regularization up to the finite terms which survive in the limit $\epsilon = N - 4 \to 0 $. The anomalous dimensions of the local operators have been…

High Energy Physics - Phenomenology · Physics 2009-10-31 Y. Matiounine , J. Smith , W. L. van Neerven

We discuss a new class of neutrino mass models generated in two loops, and explore specifically three new physics scenarios: (A) doubly charged scalar, (B) dark matter, and (C) leptoquark and diquark, which are verifiable at the 14 TeV LHC…

High Energy Physics - Phenomenology · Physics 2018-04-04 Qing-Hong Cao , Shao-Long Chen , Ernest Ma , Bin Yan , Dong-Ming Zhang

We present a classification of SU(3) x SU(2) x U(1) gauge invariant \Delta L = 2 (L being lepton number) effective operators relevant for generating small Majorana neutrino masses. Operators of dimension up to 11 have been included in our…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. S. Babu , C. N. Leung

In this paper, we have made the attempt to classify the integrand basis of all two-loop diagrams in pure four-dimension space-time. Our classification includes the topology of two-loop diagrams which determines the structure of…

High Energy Physics - Phenomenology · Physics 2015-06-11 Bo Feng , Rijun Huang

We present the computation of a full set of planar five-point two-loop master integrals with one external mass. These integrals are an important ingredient for two-loop scattering amplitudes for two-jet-associated W-boson production at…

High Energy Physics - Phenomenology · Physics 2020-12-30 S. Abreu , H. Ita , F. Moriello , B. Page , W. Tschernow , M. Zeng

We study the models with the Majorana neutrino masses generated radiatively by two-loop diagrams due to the Yukawa $\rho \bar \ell_R^c \ell_R$ and effective $\rho^{\pm\pm} W^\mp W^\mp$ couplings along with a scalar triplet $\Delta$, where…

High Energy Physics - Phenomenology · Physics 2016-02-08 Chao-Qiang Geng , Lu-Hsing Tsai

In the framework of non-holomorphic modular invariance approach, we have systematically constructed all minimal lepton models based on the non-holomorphic $A^{\prime}_{5}$ modular symmetry from a bottom-up approach. In these models, the…

High Energy Physics - Phenomenology · Physics 2025-09-19 Cai-Chang Li , Gui-Jun Ding

The addition of $m$ singlet right-handed neutrinos to the Standard Model leads to radiatively generated mass corrections for the $SU(2)_L $ doublet neutrinos. For those neutrinos which are massless at the tree level after this addition,…

High Energy Physics - Phenomenology · Physics 2011-09-21 Debajyoti Choudhury , Raj Gandhi , J. A. Gracey , Biswarup Mukhopadhyaya

Motivated by the precision results in the electroweak theory studies of two-loopFeynman diagrams are performed. Specifically this paper gives a contribution to the knowledge of massive two-loop self-energy diagrams in arbitrary and…

High Energy Physics - Phenomenology · Physics 2011-09-30 S. Bauberger , F. A. Berends , M. Boehm , M. Buza