Radiative corrections to masses and couplings in universal extra dimensions

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Springer

Received: November 30, 2017 Accepted: February 23, 2018 Published: March 15, 2018

Ayres Freitas,a Kyoungchul Kongb and Daniel Wieganda a

Pittsburgh Particle-physics Astro-physics & Cosmology Center (PITT-PACC), Department of Physics & Astronomy, University of Pittsburgh, Pittsburgh, PA 15260, U.S.A. b Department of Physics and Astronomy, University of Kansas, Lawrence, KS 66045, U.S.A.

E-mail: [email protected], [email protected], [email protected] Abstract: Models with an orbifolded universal extra dimension receive important loopinduced corrections to the masses and couplings of Kaluza-Klein (KK) particles. The dominant contributions stem from so-called boundary terms which violate KK number. Previously, only the parts of these boundary terms proportional to ln(ΛR) have been computed, where R is the radius of the extra dimension and Λ is cut-off scale. However, for typical values of ΛR ∼ 10 · · · 50, the logarithms are not particularly large and nonlogarithmic contributions may be numerically important. In this paper, these remaining finite terms are computed and their phenomenological impact is discussed. It is shown that the finite terms have a significant impact on the KK mass spectrum. Furthermore, one finds new KK-number violating interactions that do not depend on ln(ΛR) but nevertheless are non-zero. These lead to new production and decay channels for level-2 KK particles at colliders. Keywords: Phenomenology of Field Theories in Higher Dimensions, NLO Computations ArXiv ePrint: 1711.07526

c The Authors. Open Access, Article funded by SCOAP3 .

https://doi.org/10.1007/JHEP03(2018)093

JHEP03(2018)093

Radiative corrections to masses and couplings in universal extra dimensions

Contents 1

2 Brief review of MUED

3

3 Mass corrections 3.1 Approach 3.2 Results

4 4 7

4 KK-number violating interactions 4.1 Approach 4.2 Results

10 10 10

5 Phenomenological implications 5.1 Mass hierarchy 5.2 Branching ratios of level-2 KK excitations 5.2.1 ψ2 decays 5.2.2 V2 decays 5.3 Cross-sections and signatures

15 15 17 18 19 20

6 Conclusions

23

A Feynman rules of MUED A.1 The gauge sector A.2 The fermion sector A.3 The Higgs sector A.4 The Yukawa sector

26 26 28 28 30

B KK-number violating couplings in MUED

30

1

Introduction

Universal extra dimensions is an attractive concept for physics beyond the Standard Model (SM), which introduces one or several space-like extra dimensions that are constrained to a compact volume with periodic boundary conditions. All fields of the theory can propagate in the extra dimension(s), and upon compactification they can be decomposed into a tower of Kaluza-Klein (KK) excitations with increasing mass. In this article, we focus on the minimal universal extra dimension model (MUED), which introduces one extra dimension compactified on a circle with radius R but assumes that there are no additional operators generated by the UV completion.

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JHEP03(2018)093

1 Introduction

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JHEP03(2018)093

An important feature of universal extra dimensions is the existence of KK p