DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Renormalization group effects in dark matter interactions

Abstract

We present a renormalization-group (RG) analysis of dark matter interactions with the standard model, where dark matter is allowed to be a component of an electroweak multiplet, and has a mass at or below the electroweak scale. We consider, in addition to the gauge interactions, the complete set of effective operators for dark matter interactions with the standard model above the weak scale, up to and including mass dimension six. We calculate the RG evolution of these operators from the high scale Λ down to the weak scale, and perform the matching to the tower of effective theories below the weak scale. We also summarize the RG evolution below the weak scale and the matching to the nonrelativistic nuclear interactions. We present several numerical examples and show that in certain cases the dark matter — nucleus scattering rate can change by orders of magnitude when the electroweak running is included.

Authors:
ORCiD logo [1];  [2];  [3];  [2]
  1. Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
  2. Univ. of Cincinnati, OH (United States). Dept. of Physics
  3. Univ. of California, San Diego, La Jolla, CA (United States). Dept. of Physics
Publication Date:
Research Org.:
Univ. of Cincinnati, OH (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1802260
Grant/Contract Number:  
SC0011784
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2020; Journal Issue: 3; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; Physics

Citation Formats

Bishara, Fady, Brod, Joachim, Grinstein, Benjamin, and Zupan, Jure. Renormalization group effects in dark matter interactions. United States: N. p., 2020. Web. doi:10.1007/jhep03(2020)089.
Bishara, Fady, Brod, Joachim, Grinstein, Benjamin, & Zupan, Jure. Renormalization group effects in dark matter interactions. United States. https://doi.org/10.1007/jhep03(2020)089
Bishara, Fady, Brod, Joachim, Grinstein, Benjamin, and Zupan, Jure. Mon . "Renormalization group effects in dark matter interactions". United States. https://doi.org/10.1007/jhep03(2020)089. https://www.osti.gov/servlets/purl/1802260.
@article{osti_1802260,
title = {Renormalization group effects in dark matter interactions},
author = {Bishara, Fady and Brod, Joachim and Grinstein, Benjamin and Zupan, Jure},
abstractNote = {We present a renormalization-group (RG) analysis of dark matter interactions with the standard model, where dark matter is allowed to be a component of an electroweak multiplet, and has a mass at or below the electroweak scale. We consider, in addition to the gauge interactions, the complete set of effective operators for dark matter interactions with the standard model above the weak scale, up to and including mass dimension six. We calculate the RG evolution of these operators from the high scale Λ down to the weak scale, and perform the matching to the tower of effective theories below the weak scale. We also summarize the RG evolution below the weak scale and the matching to the nonrelativistic nuclear interactions. We present several numerical examples and show that in certain cases the dark matter — nucleus scattering rate can change by orders of magnitude when the electroweak running is included.},
doi = {10.1007/jhep03(2020)089},
journal = {Journal of High Energy Physics (Online)},
number = 3,
volume = 2020,
place = {United States},
year = {Mon Mar 16 00:00:00 EDT 2020},
month = {Mon Mar 16 00:00:00 EDT 2020}
}

Works referenced in this record:

Present and projected sensitivities of Dark Matter direct detection experiments to effective WIMP-nucleus couplings
journal, May 2019


Non-relativistic effective theory of dark matter direct detection
journal, November 2010

  • Fan, JiJi; Reece, Matthew; Wang, Lian-Tao
  • Journal of Cosmology and Astroparticle Physics, Vol. 2010, Issue 11
  • DOI: 10.1088/1475-7516/2010/11/042

Renormalization of the vector current in QED
journal, May 2006


On the importance of electroweak corrections for Majorana dark matter indirect detection
journal, June 2011

  • Ciafaloni, Paolo; Cirelli, Marco; Comelli, Denis
  • Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 06
  • DOI: 10.1088/1475-7516/2011/06/018

Automatic Feynman Graph Generation
journal, April 1993


QCD effects in mono-jet searches for dark matter
journal, December 2013

  • Haisch, Ulrich; Kahlhoefer, Felix; Re, Emanuele
  • Journal of High Energy Physics, Vol. 2013, Issue 12
  • DOI: 10.1007/JHEP12(2013)007

The effective field theory of dark matter direct detection
journal, February 2013

  • Fitzpatrick, A. Liam; Haxton, Wick; Katz, Emanuel
  • Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 02
  • DOI: 10.1088/1475-7516/2013/02/004

Chiral effective theory of dark matter direct detection
journal, February 2017

  • Bishara, Fady; Brod, Joachim; Grinstein, Benjamin
  • Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 02
  • DOI: 10.1088/1475-7516/2017/02/009

Weak mixing below the weak scale in dark-matter direct detection
journal, February 2018

  • Brod, Joachim; Grinstein, Benjamin; Stamou, Emmanuel
  • Journal of High Energy Physics, Vol. 2018, Issue 2
  • DOI: 10.1007/JHEP02(2018)174

On the vanishing of evanescent operators
journal, March 1991


Application of the background-field method to the electroweak standard model
journal, April 1995


Nucleon axial form factors using N f = 2 twisted mass fermions with a physical value of the pion mass
journal, September 2017


Analysis strategies for general spin-independent WIMP-nucleus scattering
journal, September 2016


Effective theories for dark matter nucleon scattering
journal, May 2015

  • Hisano, Junji; Nagai, Ryo; Nagata, Natsumi
  • Journal of High Energy Physics, Vol. 2015, Issue 5
  • DOI: 10.1007/JHEP05(2015)037

Simplified models for dark matter face their consistent completions
journal, March 2017

  • Gonçalves, Dorival; Machado, Pedro A. N.; No, Jose Miguel
  • Physical Review D, Vol. 95, Issue 5
  • DOI: 10.1103/PhysRevD.95.055027

Signatures of dark matter scattering inelastically off nuclei
journal, December 2013


Generalized analysis of the direct weakly interacting massive particle searches
journal, March 2004


Review of Particle Physics
journal, August 2018


An effective field theory for heavy quarks at low energies
journal, April 1990


Simplified models vs. effective field theory approaches in dark matter searches
journal, July 2016


Matrix element analyses of dark matter scattering and annihilation
journal, July 2013


Dark matter models with uniquely spin-dependent detection possibilities
journal, June 2011


UV completions of magnetic inelastic and Rayleigh dark matter for the Fermi Line(s)
journal, January 2013


LHC bounds on interactions of dark matter
journal, November 2011


Standard model anatomy of WIMP dark matter direct detection. I. Weak-scale matching
journal, February 2015


Intrinsic charm contribution to the proton spin
journal, August 1999


Weak decays beyond leading logarithms
journal, October 1996

  • Buchalla, Gerhard; Buras, Andrzej J.; Lautenbacher, Markus E.
  • Reviews of Modern Physics, Vol. 68, Issue 4
  • DOI: 10.1103/RevModPhys.68.1125

Standard Model anatomy of WIMP dark matter direct detection. II. QCD analysis and hadronic matrix elements
journal, February 2015


Renormalization group evolution of the standard model dimension six operators. I: formalism and λ dependence
journal, October 2013

  • Jenkins, Elizabeth E.; Manohar, Aneesh V.; Trott, Michael
  • Journal of High Energy Physics, Vol. 2013, Issue 10
  • DOI: 10.1007/JHEP10(2013)087

Connecting dark matter UV complete models to direct detection rates via effective field theory
journal, April 2015

  • D’Eramo, Francesco; Procura, Massimiliano
  • Journal of High Energy Physics, Vol. 2015, Issue 4
  • DOI: 10.1007/JHEP04(2015)054

Effective field theory for dark matter direct detection up to dimension seven
journal, October 2018

  • Brod, Joachim; Gootjes-Dreesbach, Aaron; Tammaro, Michele
  • Journal of High Energy Physics, Vol. 2018, Issue 10
  • DOI: 10.1007/JHEP10(2018)065

An effective field theory for the calculation of matrix elements involving heavy quarks
journal, January 1990


Collide and conquer: constraints on simplified dark matter models using mono-X collider searches
journal, May 2016

  • Brennan, A. J.; McDonald, M. F.; Gramling, J.
  • Journal of High Energy Physics, Vol. 2016, Issue 5
  • DOI: 10.1007/JHEP05(2016)112

Power corrections to the universal heavy WIMP-nucleon cross section
journal, June 2018


Global interpretation of direct Dark Matter searches after CDMS-II results
journal, February 2010

  • Kopp, Joachim; Schwetz, Thomas; Zupan, Jure
  • Journal of Cosmology and Astroparticle Physics, Vol. 2010, Issue 02
  • DOI: 10.1088/1475-7516/2010/02/014

The last gasp of dark matter effective theory
journal, November 2016

  • Bruggisser, Sebastian; Riva, Francesco; Urbano, Alfredo
  • Journal of High Energy Physics, Vol. 2016, Issue 11
  • DOI: 10.1007/JHEP11(2016)069

Recommendations on presenting LHC searches for missing transverse energy signals using simplified s -channel models of dark matter
journal, September 2019


Universal behavior in the scattering of heavy, weakly interacting dark matter on nuclear targets
journal, February 2012


Weakly interacting massive particle-nucleus elastic scattering response
journal, June 2014


Effective dark matter model: relic density, CDMS II, Fermi LAT and LHC
journal, August 2011

  • Zhang, Hao; Cao, Qing-Hong; Chen, Chuan-Ren
  • Journal of High Energy Physics, Vol. 2011, Issue 8
  • DOI: 10.1007/JHEP08(2011)018

Automated one-loop calculations in four and D dimensions
journal, May 1999


DAMA/LIBRA data and leptonically interacting dark matter
journal, October 2009


Bounds on dark matter interactions with electroweak gauge bosons
journal, December 2013


Global constraints on effective dark matter interactions: relic density, direct detection, indirect detection, and collider
journal, May 2012

  • Cheung, Kingman; Tseng, Po-Yan; Tsai, Yue-Lin S.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 05
  • DOI: 10.1088/1475-7516/2012/05/001

Validity of dark matter effective theory
journal, April 2017


WIMP-nucleus scattering in chiral effective theory
journal, October 2012

  • Cirigliano, Vincenzo; Graesser, Michael L.; Ovanesyan, Grigory
  • Journal of High Energy Physics, Vol. 2012, Issue 10
  • DOI: 10.1007/JHEP10(2012)025

Simplified dark matter top-quark interactions at the LHC
journal, June 2015


Gamma-ray constraints on effective interactions of the dark matter
journal, June 2011

  • Cheung, Kingman; Tseng, Po-Yan; Yuan, Tzu-Chiang
  • Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 06
  • DOI: 10.1088/1475-7516/2011/06/023

Gluon contribution to dark matter direct detection
journal, December 2010


Strange quark contributions to nucleon mass and spin from lattice QCD
journal, December 2012


Robust collider limits on heavy-mediator Dark Matter
journal, May 2015

  • Racco, Davide; Wulzer, Andrea; Zwirner, Fabio
  • Journal of High Energy Physics, Vol. 2015, Issue 5
  • DOI: 10.1007/JHEP05(2015)009

Generating Feynman diagrams and amplitudes with FeynArts 3
journal, November 2001


The fermionic dark matter Higgs portal: an effective field theory approach
journal, August 2014

  • Fedderke, Michael A.; Chen, Jing-Yuan; Kolb, Edward W.
  • Journal of High Energy Physics, Vol. 2014, Issue 8
  • DOI: 10.1007/JHEP08(2014)122

Bino variations: Effective field theory methods for dark matter direct detection
journal, May 2016


Mapping monojet constraints onto simplified dark matter models
journal, June 2015

  • Jacques, Thomas; Nordström, Karl
  • Journal of High Energy Physics, Vol. 2015, Issue 6
  • DOI: 10.1007/JHEP06(2015)142

Loop-induced dark matter direct detection signals from γ-ray lines
journal, October 2012

  • Frandsen, Mads T.; Haisch, Ulrich; Kahlhoefer, Felix
  • Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 10
  • DOI: 10.1088/1475-7516/2012/10/033

Nuclear structure aspects of spin-independent WIMP scattering off xenon
journal, February 2015


Towards the next generation of simplified Dark Matter models
journal, June 2017


Missing energy signatures of dark matter at the LHC
journal, March 2012


Gamma ray line constraints on effective theories of dark matter
journal, March 2011


Large-scale nuclear structure calculations for spin-dependent WIMP scattering with chiral effective field theory currents
journal, October 2013


S -channel dark matter simplified models and unitarity
journal, December 2016

  • Englert, Christoph; McCullough, Matthew; Spannowsky, Michael
  • Physics of the Dark Universe, Vol. 14
  • DOI: 10.1016/j.dark.2016.09.002

Chromo-Rayleigh interactions of dark matter
journal, November 2015


Direct detection of electroweak-interacting dark matter
journal, July 2011

  • Hisano, Junji; Ishiwata, Koji; Nagata, Natsumi
  • Journal of High Energy Physics, Vol. 2011, Issue 7
  • DOI: 10.1007/JHEP07(2011)005

Decoupling relations to O(αs3) and their connection to low-energy theorems
journal, January 1998


Actual Physics behind Mono-X
journal, January 2018


Chiral power counting of one- and two-body currents in direct detection of dark matter
journal, June 2015


Reparameterisation invariance constraints on heavy particle effective field theories
journal, July 1992


A model independent approach to inelastic dark matter scattering
journal, November 2014


Global fits of the dark matter-nucleon effective interactions
journal, September 2014


Self-consistent Dark Matter simplified models with an s-channel scalar mediator
journal, March 2017

  • Bell, Nicole F.; Busoni, Giorgio; Sanderson, Isaac W.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 03
  • DOI: 10.1088/1475-7516/2017/03/015

Implications of unitarity and gauge invariance for simplified dark matter models
journal, February 2016

  • Kahlhoefer, Felix; Schmidt-Hoberg, Kai; Schwetz, Thomas
  • Journal of High Energy Physics, Vol. 2016, Issue 2
  • DOI: 10.1007/JHEP02(2016)016

On the importance of loop-induced spin-independent interactions for dark matter direct detection
journal, April 2013


The background field method beyond one loop
journal, July 1981


FeynRules  2.0 — A complete toolbox for tree-level phenomenology
journal, August 2014

  • Alloul, Adam; Christensen, Neil D.; Degrande, Céline
  • Computer Physics Communications, Vol. 185, Issue 8
  • DOI: 10.1016/j.cpc.2014.04.012

How to save the WIMP: global analysis of a dark matter model with two s-channel mediators
journal, September 2016

  • Duerr, Michael; Kahlhoefer, Felix; Schmidt-Hoberg, Kai
  • Journal of High Energy Physics, Vol. 2016, Issue 9
  • DOI: 10.1007/JHEP09(2016)042

The static quark effective theory
journal, July 1990


The impact of heavy-quark loops on LHC dark-matter searches
journal, July 2013

  • Haisch, Ulrich; Kahlhoefer, Felix; Unwin, James
  • Journal of High Energy Physics, Vol. 2013, Issue 7
  • DOI: 10.1007/JHEP07(2013)125

Equations of motion for effective Lagrangians and Penguins in rareB-decays
journal, March 1994

  • Simma, H.
  • Zeitschrift für Physik C Particles and Fields, Vol. 61, Issue 1
  • DOI: 10.1007/BF01641888

Strangeness Contribution to the Proton Spin from Lattice QCD
journal, May 2012


On the validity of the effective field theory for dark matter searches at the LHC
journal, January 2014


Tools for model-independent bounds in direct dark matter searches
journal, October 2013

  • Cirelli, Marco; Nobile, Eugenio Del; Panci, Paolo
  • Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 10
  • DOI: 10.1088/1475-7516/2013/10/019

Identifying WIMP dark matter from particle and astroparticle data
journal, March 2018

  • Bertone, Gianfranco; Bozorgnia, Nassim; Kim, Jong Soo
  • Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 03
  • DOI: 10.1088/1475-7516/2018/03/026

Spin-dependent WIMP scattering off nuclei
journal, November 2012


Ab initio nuclear response functions for dark matter searches
journal, May 2017


You can hide but you have to run: direct detection with vector mediators
journal, August 2016

  • D’Eramo, Francesco; Kavanagh, Bradley J.; Panci, Paolo
  • Journal of High Energy Physics, Vol. 2016, Issue 8
  • DOI: 10.1007/JHEP08(2016)111

Probing leptophilic dark sectors with hadronic processes
journal, August 2017


Dimension-six terms in the Standard Model Lagrangian
journal, October 2010

  • Grzadkowski, B.; Iskrzyński, M.; Misiak, M.
  • Journal of High Energy Physics, Vol. 2010, Issue 10
  • DOI: 10.1007/JHEP10(2010)085

New Constraints on Dark Matter Effective Theories from Standard Model Loops
journal, May 2014


Detecting technibaryon dark matter
journal, January 1994


LHC constraints on gauge boson couplings to dark matter
journal, April 2015


From quarks to nucleons in dark matter direct detection
journal, November 2017

  • Bishara, Fady; Brod, Joachim; Grinstein, Benjamin
  • Journal of High Energy Physics, Vol. 2017, Issue 11
  • DOI: 10.1007/JHEP11(2017)059

First-principle calculations of dark matter scattering off light nuclei
journal, September 2017


Minimal dark matter
journal, October 2006