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Title: Relaxion: A landscape without anthropics

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Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 96; Journal Issue: 11; Related Information: CHORUS Timestamp: 2017-12-20 10:24:55; Journal ID: ISSN 2470-0010
American Physical Society
Country of Publication:
United States

Citation Formats

Nelson, Ann, and Prescod-Weinstein, Chanda. Relaxion: A landscape without anthropics. United States: N. p., 2017. Web. doi:10.1103/PhysRevD.96.113007.
Nelson, Ann, & Prescod-Weinstein, Chanda. Relaxion: A landscape without anthropics. United States. doi:10.1103/PhysRevD.96.113007.
Nelson, Ann, and Prescod-Weinstein, Chanda. 2017. "Relaxion: A landscape without anthropics". United States. doi:10.1103/PhysRevD.96.113007.
title = {Relaxion: A landscape without anthropics},
author = {Nelson, Ann and Prescod-Weinstein, Chanda},
abstractNote = {},
doi = {10.1103/PhysRevD.96.113007},
journal = {Physical Review D},
number = 11,
volume = 96,
place = {United States},
year = 2017,
month =

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on December 20, 2018
Publisher's Accepted Manuscript

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Cited by: 1work
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  • We present a supersymmetric version of a two-field relaxion model that naturalizes tuned versions of supersymmetry. This arises from a relaxion mechanism that does not depend on QCD dynamics and where the relaxion potential barrier height is controlled by a second axion-like field. During the cosmological evolution, the relaxion rolls with a nonzero value that breaks supersymmetry and scans the soft supersymmetric mass terms. Electroweak symmetry is broken after the soft masses become of order the supersymmetric Higgs mass term and causes the relaxion to stop rolling for superpartner masses up to ~10 9 GeV. This can explain the tuningmore » in supersymmetric models, including split-SUSY models, while preserving the QCD axion solution to the strong CP problem. Furthermore, besides predicting two very weakly-coupled axion-like particles, the supersymmetric spectrum may contain an extra Goldstino, which could be a viable dark matter candidate.« less
  • Cited by 6
  • Motivated by the famous Waddington’s epigenetic landscape metaphor in developmental biology, biophysicists and applied mathematicians made different proposals to construct the landscape for multi-stable complex systems. We aim to summarize and elucidate the relationships among these theories from a mathematical point of view. We systematically investigate and compare three different but closely related realizations in the recent literature: the Wang’s potential landscape theory from steady state distribution of stochastic differential equations (SDEs), the Freidlin-Wentzell quasi-potential from the large deviation theory, and the construction through SDE decomposition and A-type integral. We revisit that the quasi-potential is the zero noise limit ofmore » the potential landscape, and the potential function in the third proposal coincides with the quasi-potential. We compare the difference between local and global quasi-potential through the viewpoint of exchange of limit order for time and noise amplitude. We argue that local quasi-potentials are responsible for getting transition rates between neighboring stable states, while the global quasi-potential mainly characterizes the residence time of the states as the system reaches stationarity. The difference between these two is prominent when the transitivity property is broken. The most probable transition path by minimizing the Onsager-Machlup or Freidlin-Wentzell action functional is also discussed. As a consequence of the established connections among different proposals, we arrive at the novel result which guarantees the existence of SDE decomposition while denies its uniqueness in general cases. It is, therefore, clarified that the A-type integral is more appropriate to be applied to the decomposed SDEs rather than its primitive form as believed by previous researchers. Our results contribute to a deeper understanding of landscape theories for biological systems.« less
  • Purpose: We compare the efficacy and toxicity among the 3 major modalities available used to treat high-risk prostate cancer (HRCaP). Methods and Materials: From 1996 to 2012, 2557 HRCaP patients were treated: 734 received external beam radiation therapy (EBRT) with or without androgen deprivation therapy (ADT), 515 received low-dose-rate prostate brachytherapy (LDR) with or without ADT, and 1308 received radical prostatectomy (RP) with or without EBRT. Biochemical relapse-free survival (bRFS), clinical relapse-free survival (cRFS), and prostate cancer–specific mortality (PCSM) were assessed. Toxicity was assessed using the Common Terminology Criteria for Adverse Events, version 4.03. The log-rank test compared bRFS andmore » cRFS among the modalities, and Cox regression identified factors associated with bRFS and cRFS. Gray's test compared differences in late toxicity and PSCM among the modalities. Competing risk regression identified factors associated with PCSM. Results: The median follow-up time and age were 63.5 months and 65 years, respectively. The bRFS at 5 and 10 years, respectively, was 74% and 53% for EBRT, 74% and 52% for LDR, and 65% and 47% for RP (P=.0001). The cRFS at 5 and 10 years, respectively, was 85% and 73% for EBRT, 90% and 76% for LDR, and 89% and 75% for RP (P=.121). The PCSM at 5 and 10 years, respectively, was 5.3% and 11.2% for EBRT, 3.2% and 3.6% for LDR, and 2.8% and 6.8% for RP (P=.0004). The 10-year cumulative incidence of ≥grade 3 genitourinary toxicity was 8.1% for EBRT, 7.2% for LDR, and 16.4% for RP (P<.0001). The 10-year cumulative incidence of ≥grade 3 gastrointestinal toxicity was 4.6% for EBRT, 1.1% for LDR, and 1.0% for RP (P<.0001). Conclusion: HRCaP treated with EBRT, LDR, or RP yields efficacy showing better bRFS for LDR and EBRT relative to RP, equivalence for cRFS, and a PCSM advantage of LDR and RP over EBRT. The toxicity is lowest for LDR.« less
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