Michael Trott

ORCID: 0000-0003-0570-136X
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About
Contact & Profiles
Research Areas
  • Particle physics theoretical and experimental studies
  • Quantum Chromodynamics and Particle Interactions
  • Black Holes and Theoretical Physics
  • High-Energy Particle Collisions Research
  • Cosmology and Gravitation Theories
  • Dark Matter and Cosmic Phenomena
  • Neutrino Physics Research
  • History and Theory of Mathematics
  • Mathematics and Applications
  • Advanced Mathematical Theories and Applications
  • Particle Detector Development and Performance
  • Superconducting Materials and Applications
  • semigroups and automata theory
  • Particle Accelerators and Free-Electron Lasers
  • Distributed and Parallel Computing Systems
  • Computational Geometry and Mesh Generation
  • Logic, programming, and type systems
  • Multidisciplinary Warburg-centric Studies
  • Polynomial and algebraic computation
  • Computability, Logic, AI Algorithms
  • Numerical methods for differential equations
  • Physics of Superconductivity and Magnetism
  • Numerical Methods and Algorithms
  • Cellular Automata and Applications
  • Magnetic confinement fusion research

California Institute of Technology
2024

Wolfram Research (United States)
2004-2023

University of Copenhagen
2015-2022

University of Notre Dame
2021-2022

European Organization for Nuclear Research
2011-2021

Niels Brock
2017-2019

Perimeter Institute
2009-2011

University of California, San Diego
2003-2008

Wolfram Research (United Kingdom)
2004-2006

University of Toronto
2000-2004

We calculate the gauge terms of one-loop anomalous dimension matrix for dimension-six operators Standard Model effective field theory (SM EFT). Combining these results with our previous λ and Yukawa coupling completes calculation operators. There are 1350 CP -even 1149 -odd parameters in Lagrangian 3 generations, give entire 2499 × matrix. discuss how renormalization operators, additional d ≤ 4 SM due to lays groundwork future precision studies EFT aimed at constraining effects new physics...

10.1007/jhep04(2014)159 article EN cc-by Journal of High Energy Physics 2014-04-01

We calculate the complete order y^2 and y^4 terms of 59 x one-loop anomalous dimension matrix for dimension-six operators Standard Model effective field theory, where y is a generic Yukawa coupling. These terms, together with lambda, lambda^2 lambda depending on Higgs self-coupling which were calculated in previous work, yield limit vanishing gauge couplings. The contributions result non-trivial flavor mixing various operator sectors theory.

10.1007/jhep01(2014)035 article EN cc-by Journal of High Energy Physics 2014-01-01

10.1016/j.physrep.2018.11.002 article EN Physics Reports 2018-11-22

We calculate the order \lambda, \lambda^2 and \lambda y^2 terms of 59 x one-loop anomalous dimension matrix dimension-six operators, where y are Standard Model Higgs self-coupling a generic Yukawa coupling, respectively. The operators modify running parameters themselves, we compute complete result for this. discuss how there is mixing between which no direct one-particle-irreducible diagram exists, due to operator replacements by equations motion.

10.1007/jhep10(2013)087 article EN cc-by Journal of High Energy Physics 2013-10-01

We reexamine recent claims that Einstein-frame scattering in the Higgs inflation model is unitary above cut-off energy Λ ≃ M p /ξ. show explicitly how unitarity problems arise both Einstein and Jordan frames of theory. In a covariant gauge they from non-minimal self-couplings, which cannot be removed by field redefinitions because target space not flat. gauge, where there only single scalar can redefined to achieve canonical kinetic terms, through Higgs-gauge couplings.

10.1007/jhep07(2010)007 article EN cc-by-nc Journal of High Energy Physics 2010-07-01

We outline a method for characterizing deviations from the properties of Standard Model (SM) Higgs boson. apply it to current data in order characterize up which degree SM boson interpretation is consistent with experiment. find that set at 82 % confidence level, based on excess events reported by CMS and ATLAS, are interpreted be related mass scale mh = 124-126 GeV, published CL_s exclusion regions. perform global fit terms two parameters deviation value gauge fermion couplings minima...

10.1007/jhep05(2012)097 article EN cc-by Journal of High Energy Physics 2012-05-01

We examine the effects of new physics on Higgs sector standard model, focusing self-couplings. demonstrate that a low mass Higgs, ${m}_{h}<2{m}_{t}$, can have strong effective self-coupling due to interaction at TeV. investigate possibility first evidence such an could be Higgs-Higgs bound state. To this end, we construct field theory formalism boson. explore nonrelativistic state (Higgsium) CERN's Large Hadron Collider and is appropriate for studies (NRHET).

10.1103/physrevd.76.073002 article EN Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D, Particles, fields, gravitation, and cosmology 2007-10-11

A bstract We compute the renormalization of dimension six Higgs-gauge boson operators that can modify h → γγ rate at tree-level. Operator mixing is shown to lead an important modification new physics effects which has been neglected in past calculations. also find usual formula for S oblique parameter contribution these needs additional terms be consistent with group evolution. study implications our results Higgs phenomenology and models attempt explain a deviation rate. derive relation...

10.1007/jhep04(2013)016 article EN cc-by Journal of High Energy Physics 2013-04-01

A bstract The 8 TeV LHC Higgs search data just released indicates the existence of a scalar resonance with mass ~ 125 GeV. We examine implications reported by ATLAS, CMS and Tevatron collaborations on understanding properties this performing joint fits its couplings to other Standard Model (SM) particles. discuss characterize what degree has SM Higgs, consider can be extracted for New Physics in (mostly) model-independent fashion. find that, if fermions weak vector bosons are allowed differ...

10.1007/jhep12(2012)045 article EN cc-by Journal of High Energy Physics 2012-12-01

We report codes for the Standard Model Effective Field Theory (SMEFT) in FeynRules -- SMEFTsim package. The enable theoretical predictions dimension six operator corrections to using numerical tools, where can be made based on either electroweak input parameter set $\{\hat{\alpha}_{ew}, \hat{m}_Z, \hat{G}_F \}$ or $\{\hat{m}_{W}, \hat{G}_F\}$. All of baryon and lepton number conserving operators present SMEFT Lagrangian, defined Warsaw basis, are included. A flavour symmetric ${\rm U}(3)^5$...

10.1007/jhep12(2017)070 article EN cc-by Journal of High Energy Physics 2017-12-01

We discuss the impact of many previously neglected effects higher dimensional operators when fitting to Electroweak Precision data (EWPD) in Standard Model Effective Field Theory (SMEFT). calculate general case $2 \rightarrow 2$ fermion scattering SMEFT order $\mathcal{O}(\bar{v}_T^2/\Lambda^2)$ valid on and off $Z$ pole, massless limit. demonstrate that corrections scale as $\Gamma_Z M_Z/\bar{v}_T^2$ partial widths extracted from measured cross sections at LEPI, compared leading effect...

10.1007/jhep05(2015)024 article EN cc-by Journal of High Energy Physics 2015-05-01

We develop the global constraint picture in (linear) effective field theory generalisation of Standard Model, incorporating data from detectors that operated at PEP, PETRA, TRISTAN, SpS, Tevatron, SLAC, LEPI and LEP II, as well low energy precision data. fit one hundred three observables. a error metric for this theory, which is required when constraints on parameters leading order power counting are to be pushed percent level, or beyond, unless cut off scale assumed large, $\Lambda \gtrsim...

10.1007/jhep02(2016)069 article EN cc-by Journal of High Energy Physics 2016-02-01

A bstract We develop the geometric formulation of Standard Model Effective Field Theory (SMEFT). Using this approach we derive all-orders results in $$ \sqrt{2\left\langle {H}^{\dagger }H\right\rangle }/\Lambda <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msqrt> <mml:mrow> <mml:mn>2</mml:mn> <mml:mfenced> <mml:msup> <mml:mi>H</mml:mi> <mml:mo>†</mml:mo> </mml:msup> </mml:mrow> </mml:mfenced> </mml:msqrt> <mml:mo>/</mml:mo> <mml:mi>Λ</mml:mi> </mml:math> expansion relevant...

10.1007/jhep03(2020)163 article EN cc-by Journal of High Energy Physics 2020-03-01

We present the calculation of CP conserving contributions to Γ(h→γγ), from dimension six operators at one-loop order, in linear standard model effective field theory. discuss impact these corrections on interpreting current and future experimental bounds this decay.

10.1103/physrevlett.115.191801 article EN Physical Review Letters 2015-11-06

In light of the large amount new experimental data, we revisit determination $|{V}_{cb}|$ and ${m}_{b}$ from inclusive semileptonic radiative $B$ decays. We study shape variables to order ${\ensuremath{\Lambda}}_{\mathrm{Q}\mathrm{C}\mathrm{D}}^{3}/{m}_{b}^{3}$ ${\ensuremath{\alpha}}_{s}^{2}{\ensuremath{\beta}}_{0}$, include ${\ensuremath{\alpha}}_{s}{\ensuremath{\Lambda}}_{\mathrm{Q}\mathrm{C}\mathrm{D}}/{m}_{b}$ correction hadron mass spectrum in decay, which improves agreement with data....

10.1103/physrevd.70.094017 article EN Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D, Particles, fields, gravitation, and cosmology 2004-11-11

The Standard Model (SM) prediction of the top quark forward backward asymmetry is shown to be slightly enhanced by a correction factor 1.05 due electroweak Sudakov (EWS) logarithms form (\alpha/sin^2 \theta_W)^n log^{m< 2n} (s/M_{W,Z}^2). EWS effect on dijet and t \bar{t} invariant mass spectra significant, reducing SM ~20, 10 % respectively for highest masses measured at LHC, changing shape high-mass tail spectrum. These corrections significantly affect measurements spectrum search an...

10.1016/j.physletb.2012.04.013 article EN cc-by Physics Letters B 2012-04-10

We give a general decomposition of the h -&gt; VF amplitude where V={W,Z} and F is generic leptonic or hadronic final state, in standard model (SM), context effective field theory. The differential distributions for F=l^+l^-, l nu (l =e, mu) are reported, we show how such can be used to determine modified Higgs couplings that cannot directly extracted from global fit signal strengths. also demonstrate rare VP decays, P single hadron, with SM rates 10^{-5} range, provide complementary...

10.1016/j.physletb.2013.11.054 article EN cc-by Physics Letters B 2013-11-28

We show that the forward-backward asymmetry in top quark pair production can be enhanced by fields transform nontrivially under flavor group and satisfy minimal violation, while at same time constraints from associated effects on dσ(tt)/dM(tt) distribution, dijet resonance searches, same-sign top-pair production, other phenomenology are satisfied. work out two examples detail: one where a scalar color antisextet field is also an of SU(3)(U) enhances enhancement arises vector octet SU(3)(U).

10.1103/physrevlett.107.012002 article EN publisher-specific-oa Physical Review Letters 2011-06-28

A bstract We perform a global fit to Higgs signal-strength data in the context of light stops Natural SUSY. In this case, Wilson coefficients higher dimensional operators mediating gg → h and γγ , given by c g γ are related = 3 (1 + α s / (2π)) 8. examine predictive scenario detail, combining constraints with recent precision measurements m W Br( $ \overline{B} X γ) direct collider bounds on weak scale SUSY, finding regions parameter space that consistent all these constraints. However it is...

10.1007/jhep12(2012)077 article EN cc-by Journal of High Energy Physics 2012-12-01

A bstract We calculate one loop contributions to Γ( h → γγ ) from higher dimensional operators in the Standard Model Effective Field Theory (SMEFT). Some technical challenges related determining Electroweak “finite terms” are discussed and overcome. Although we restrict our attention ), several developments report have broad implications. Firstly, running of vacuum expectation value (vev) modifies log( μ dependence processes a manner that is not captured some past SMEFT Renormalization Group...

10.1007/jhep07(2015)151 article EN cc-by Journal of High Energy Physics 2015-07-01

We demonstrate by performing a global fit on Higgs signal strength data that large invisible branching ratios Br_{inv} for Standard Model (SM) particle are currently consistent with the experimental hints of scalar resonance at mass scale m_h ~ 124 GeV. For this scale, we find < 0.64 (95 % CL) from to individual channel strengths supplied ATLAS, CMS and Tevatron collaborations. Novel tests can be used improve prospects experimentally discovering existence future proposed. These based...

10.1007/jhep09(2012)126 article EN cc-by Journal of High Energy Physics 2012-09-01
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