Higgs Mass and Unnatural Supersymmetry (1407.4081v2)

Abstract: Assuming that supersymmetry exists well above the weak scale, we derive the full one-loop matching conditions between the SM and the supersymmetric theory, allowing for the possibility of an intermediate Split-SUSY scale. We also compute two-loop QCD corrections to the matching condition of the Higgs quartic coupling. These results are used to improve the calculation of the Higgs mass in models with high-scale supersymmetry or split supersymmetry, reducing the theoretical uncertainty. We explore the phenomenology of a mini-split scenario with gaugino masses determined by anomaly mediation. Depending on the value of the higgsino mass, the theory predicts a variety of novel possibilities for the dark-matter particle.

Higgs Mass and Unnatural Supersymmetry: An Expert Overview

The paper "Higgs Mass and Unnatural Supersymmetry" explores the theoretical frameworks and calculations related to various forms of supersymmetry (SUSY) that deviate from the expectation of naturalness at the Fermi scale. The negative results of new physics searches at the LHC challenge the existence of low-energy SUSY and the naturalness principle. As a result, there is renewed interest in "unnatural" SUSY configurations where the Higgs mass is decoupled from the electroweak scale naturalness problem, motivating a detailed paper of Higgs mass prediction under these theories.

Key Theoretical Scenarios

The paper examines several scenarios:

1. Quasi-natural SUSY: Here, SUSY particles are heavier than the weak scale, ranging from 1 to 30 TeV.
2. High-Scale SUSY: All SUSY particles have masses around a common scale unrelated to the weak scale.
3. Split SUSY: Only scalar superpartners have masses similar to the high scale, while gauginos and higgsinos remain lighter.
4. Mini-split with Anomaly Mediation: Gauginos receive masses via anomaly mediation at one-loop, and scalars through tree-level effects.

Methodology and Results

• The researchers derive full one-loop matching conditions between the Standard Model (SM) and the SUSY framework, accommodating a potential intermediate split-SUSY scale. Also, they compute two-loop QCD corrections to the Higgs quartic coupling.
• This framework reduces theoretical uncertainty in calculating the Higgs mass in models with high-scale of split supersymmetry.
• Phenomenological implications of Mini-split SUSY with anomaly mediation are explored, where this framework predicts novel dark matter candidates contingent on the value of the higgsino mass.

Higgs Mass Calculation Enhancement

The paper improves the calculation of the Higgs mass through:

• Threshold corrections for the Higgs quartic coupling at the high SUSY scale, providing complete one-loop and dominant two-loop SUSY-QCD corrections.
• Addressing potential impacts from the angle $\beta$ related to the Higgs doublet mixing, which remains a crucial parameter at the EW scale due to its role in determining the tree-level and one-loop effective couplings.

Implications

The ramifications of this paper are both practical and theoretical:

• Practically, understanding the Higgs mass under these unnatural SUSY scenarios imparts critical boundaries on SUSY parameters, aiding phenomenological SUSY searches and informing the SUSY parameter space traversable by future colliders.
• Theoretically, the paper reinforces that Higgs boson mass computations in SUSY scenarios do not solely inform electroweak symmetry breaking but also offer insights into the broader unification of forces and the dynamics of dark matter particles.

Prospective Research

Future research directions could revolve around the dynamics at higher loop orders for these effective field theories, scrutinizing the discrepancies between the current Higgs mass measurements and theoretical predictions under various SUSY breaking schemes. Additionally, further exploration of the interplay between different SUSY breaking scales and their linkage to dark matter profiles could yield insights into the nature of the dark sector beyond the standard model framework.

This paper provides a robust foundation for discussing the implications of high-scale SUSY theories, presenting refined numerical results that reduce uncertainties in Higgs mass predictions and showcasing the versatility of SUSY theories in accommodating a range of physical phenomena.