Electroweak splitting functions and high energy showering

doi:10.1007/jhep11(2017)093

Title: Electroweak splitting functions and high energy showering

Abstract

We derive the electroweak (EW) collinear splitting functions for the Standard Model, including the massive fermions, gauge bosons and the Higgs boson. We first present the splitting functions in the limit of unbroken SU(2)_L × U(1)_Y and discuss their general features in the collinear and soft-collinear regimes. These are the leading contributions at a splitting scale (k_T) far above the EW scale (v). We then systematically incorporate EW symmetry breaking (EWSB), which leads to the emergence of additional “ultra-collinear” splitting phenomena and naive violations of the Goldstone-boson Equivalence Theorem. We suggest a particularly convenient choice of non-covariant gauge (dubbed “Goldstone Equivalence Gauge”) that disentangles the effects of Goldstone bosons and gauge fields in the presence of EWSB, and allows trivial book-keeping of leading power corrections in v/k_T. We implement a comprehensive, practical EW showering scheme based on these splitting functions using a Sudakov evolution formalism. Novel features in the implementation include a complete accounting of ultra-collinear effects, matching between shower and decay, kinematic back-reaction corrections in multi-stage showers, and mixed-state evolution of neutral bosons (γ/Z/h) using density-matrices. We employ the EW showering formalism to study a number of important physical processes at O(1-10 TeV) energies. They include (a) electroweak partonsmore »« less

Authors:

Chen, Junmou ^[1];

^[1]; Tweedie, Brock ^[1]

Univ. of Pittsburgh, Pittsburgh, PA (United States). Dept. of Physics and Astronomy

Publication Date:: 2017-11-15

Research Org.:: Univ. of Wisconsin, Madison, WI (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1507415

Grant/Contract Number:: FG02-95ER40896

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: 2017; Journal Issue: 11; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Jets; QCD Phenomenology

Citation Formats


                    Chen, Junmou, Han, Tao, and Tweedie, Brock. Electroweak splitting functions and high energy showering.  United States: N. p., 2017. 
        Web.  doi:10.1007/jhep11(2017)093.

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                    Chen, Junmou, Han, Tao, & Tweedie, Brock. Electroweak splitting functions and high energy showering.  United States.  doi:10.1007/jhep11(2017)093.

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                    Chen, Junmou, Han, Tao, and Tweedie, Brock. Wed .  
        "Electroweak splitting functions and high energy showering".  United States.  doi:10.1007/jhep11(2017)093.  https://www.osti.gov/servlets/purl/1507415.

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@article{osti_1507415,

  title        = {Electroweak splitting functions and high energy showering},

  author       = {Chen, Junmou and Han, Tao and Tweedie, Brock},

  abstractNote = {We derive the electroweak (EW) collinear splitting functions for the Standard Model, including the massive fermions, gauge bosons and the Higgs boson. We first present the splitting functions in the limit of unbroken SU(2)L × U(1)Y and discuss their general features in the collinear and soft-collinear regimes. These are the leading contributions at a splitting scale (kT) far above the EW scale (v). We then systematically incorporate EW symmetry breaking (EWSB), which leads to the emergence of additional “ultra-collinear” splitting phenomena and naive violations of the Goldstone-boson Equivalence Theorem. We suggest a particularly convenient choice of non-covariant gauge (dubbed “Goldstone Equivalence Gauge”) that disentangles the effects of Goldstone bosons and gauge fields in the presence of EWSB, and allows trivial book-keeping of leading power corrections in v/kT. We implement a comprehensive, practical EW showering scheme based on these splitting functions using a Sudakov evolution formalism. Novel features in the implementation include a complete accounting of ultra-collinear effects, matching between shower and decay, kinematic back-reaction corrections in multi-stage showers, and mixed-state evolution of neutral bosons (γ/Z/h) using density-matrices. We employ the EW showering formalism to study a number of important physical processes at O(1-10 TeV) energies. They include (a) electroweak partons in the initial state as the basis for vector-boson-fusion; (b) the emergence of “weak jets” such as those initiated by transverse gauge bosons, with individual splitting probabilities as large as O (35%); (c) EW showers initiated by top quarks, including Higgs bosons in the final state; (d) the occurrence of O (1) interference effects within EW showers involving the neutral bosons; and (e) EW corrections to new physics processes, as illustrated by production of a heavy vector boson (W') and the subsequent showering of its decay products.},

  doi          = {10.1007/jhep11(2017)093},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 11,

  volume       = 2017,

  place        = {United States},

  year         = {2017},

  month        = {11}

}

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DOI: 10.1007/jhep11(2017)093

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Title: Electroweak splitting functions and high energy showering

Abstract

Citation Formats

Extensive air shower simulations at the highest energies journal, April 2003

On the precise formulation of the equivalence theorem journal, November 1992

Weak corrections to four-parton processes journal, December 2006

Measurement of W boson angular distributions in events with high transverse momentum jets at s = 8 TeV using the ATLAS detector journal, February 2017

Physics opportunities of a 100 TeV proton–proton collider journal, October 2016

Calculating the Annihilation Rate of Weakly Interacting Massive Particles journal, May 2015

Heavy Dark Matter Annihilation from Effective Field Theory journal, May 2015

Non-resonant new physics in top pair production at hadron colliders journal, March 2011

Resummation of electroweak Sudakov logarithms for real radiation journal, September 2016

The effective W approximation journal, January 1985

Unbroken SU(2) at a 100 TeV collider journal, September 2014

The "top Priority" at the lhc journal, October 2008

One-loop weak corrections to hadronic production of Z bosons at large transverse momenta journal, October 2005

One-loop leading logarithms in electroweak radiative corrections: II. Factorization of collinear singularities journal, June 2001

Structure-function approach to vector-boson scattering in pp collisions journal, December 1992

The effective W±, Z0 approximation for high energy collisions journal, November 1984

The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations journal, July 2014

Constraints on galactic wino densities from gamma ray lines journal, April 2015

Semi-inclusive wino and higgsino annihilation to LL′ journal, March 2016

Top pair invariant mass distribution: a window on new physics journal, January 2009

Weak corrections are relevant for dark matter indirect detection journal, March 2011

The minimal composite Higgs model journal, July 2005

Model-independent implications of the , cosmic ray spectra on properties of Dark Matter journal, May 2009

Electroweak corrections to large transverse momentum production of W bosons at the LHC journal, July 2007

CERN LHC signals from warped extra dimensions journal, January 2008

Weak gauge boson radiation in parton showers journal, April 2014

Non-cancellation of electroweak logarithms in high-energy scattering journal, January 2015

Electroweak double logarithms in inclusive observables for a generic initial state journal, March 2001

An Equivalent Gauge and the Equivalence Theorem journal, August 2014

The electroweak standard model in the axial gauge journal, May 2004

Herwig++ physics and manual journal, November 2008

Electroweak Bloch–Nordsieck violation at the TeV scale: “strong” weak interactions? journal, November 2000

Soft collinear effective theory for heavy WIMP annihilation journal, January 2015

Electroweak fragmentation functions for dark matter annihilation journal, February 2015

Electroweak Sudakov logarithms and real gauge-boson radiation in the TeV region journal, November 2010

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Weak radiative corrections to dijet production at hadron colliders journal, November 2012

Electroweak corrections to hadronic production of W bosons at large transverse momenta journal, July 2008

A brief introduction to PYTHIA 8.1 journal, June 2008

Electroweak Sudakov Corrections to New Physics Searches at the LHC journal, September 2013

On the validity of the effective W approximation journal, January 1988

Subleading Sudakov logarithms in electroweak high energy processes to all orders journal, January 2001

Electroweak two-loop Sudakov logarithms for on-shell fermions and bosons journal, May 2002

Electroweak corrections to W-boson hadroproduction at finite transverse momentum journal, February 2008

Asymptotic Sum Rules at Infinite Momentum journal, March 1969

CERN LHC analysis of the strongly interacting WW system: Gold-plated modes journal, October 1995

Heavy Majorana neutrinos from Wγ fusion at hadron colliders journal, February 2015

New insights into the perturbative structure of electroweak Sudakov logarithms journal, September 2000

Asymptotic freedom in parton language journal, August 1977

The TeV physics of strongly interacting W's and Z's journal, January 1985

Electroweak Sudakov effects in W , Z and γ production at large transverse momentum journal, July 2013

Light-front formulation of the standard model journal, August 2002

Top-quark initiated processes at high-energy hadron colliders journal, April 2015

Parton showers with quantum interference journal, September 2007

Tagging the Higgs journal, January 1988

Transverse momentum distribution in Drell-Yan pair and W and Z boson production journal, January 1985

One-loop leading logarithms in electroweak radiative corrections: I. Results journal, January 2001

Weak boson emission in hadron collider processes journal, January 2007

Probing the scattering of equivalent electroweak bosons journal, June 2012

A comparative study of coherent and non-coherent parton shower evolution journal, January 1987

Factorization Of Hard Processes In QCD book, July 1989

Identification of heavy, energetic, hadronically decaying particles using machine-learning techniques journal, June 2020

Resummed photon spectra for WIMP annihilation journal, March 2018

Polarization effects in standard model parton distributions at very high energies journal, March 2019

Heavy neutrinos with dynamic jet vetoes: multilepton searches at $$ \sqrt{s}=14 $$, 27, and 100 TeV journal, June 2019

Electroweak logarithms in inclusive cross sections journal, August 2018

Examining the origin of dark matter mass at colliders journal, September 2018

Fusing Vectors into Scalars at High Energy Lepton Colliders text, January 2018

Extensive air shower simulations at the highest energies
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On the precise formulation of the equivalence theorem
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Weak corrections to four-parton processes
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Physics opportunities of a 100 TeV proton–proton collider
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Calculating the Annihilation Rate of Weakly Interacting Massive Particles
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Heavy Dark Matter Annihilation from Effective Field Theory
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Non-resonant new physics in top pair production at hadron colliders
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Resummation of electroweak Sudakov logarithms for real radiation
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The effective W approximation
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Unbroken SU(2) at a 100 TeV collider
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The "top Priority" at the lhc
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One-loop weak corrections to hadronic production of Z bosons at large transverse momenta
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One-loop leading logarithms in electroweak radiative corrections: II. Factorization of collinear singularities
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Structure-function approach to vector-boson scattering in pp collisions
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The effective W±, Z0 approximation for high energy collisions
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The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
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Constraints on galactic wino densities from gamma ray lines
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Semi-inclusive wino and higgsino annihilation to LL′
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Top pair invariant mass distribution: a window on new physics
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Weak corrections are relevant for dark matter indirect detection
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The minimal composite Higgs model
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Model-independent implications of the , cosmic ray spectra on properties of Dark Matter
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Electroweak corrections to large transverse momentum production of W bosons at the LHC
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CERN LHC signals from warped extra dimensions
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Weak gauge boson radiation in parton showers
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Non-cancellation of electroweak logarithms in high-energy scattering
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Electroweak double logarithms in inclusive observables for a generic initial state
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An Equivalent Gauge and the Equivalence Theorem
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The electroweak standard model in the axial gauge
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Herwig++ physics and manual
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Soft collinear effective theory for heavy WIMP annihilation
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Electroweak fragmentation functions for dark matter annihilation
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Electroweak Sudakov logarithms and real gauge-boson radiation in the TeV region
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Physics searches at the LHC
journal, May 2012

Weak radiative corrections to dijet production at hadron colliders
journal, November 2012

Electroweak corrections to hadronic production of W bosons at large transverse momenta
journal, July 2008

A brief introduction to PYTHIA 8.1
journal, June 2008

Electroweak Sudakov Corrections to New Physics Searches at the LHC
journal, September 2013

On the validity of the effective W approximation
journal, January 1988

Subleading Sudakov logarithms in electroweak high energy processes to all orders
journal, January 2001

Electroweak two-loop Sudakov logarithms for on-shell fermions and bosons
journal, May 2002

Electroweak corrections to W-boson hadroproduction at finite transverse momentum
journal, February 2008

Asymptotic Sum Rules at Infinite Momentum
journal, March 1969

CERN LHC analysis of the strongly interacting WW system: Gold-plated modes
journal, October 1995

Heavy Majorana neutrinos from Wγ fusion at hadron colliders
journal, February 2015

New insights into the perturbative structure of electroweak Sudakov logarithms
journal, September 2000

Asymptotic freedom in parton language
journal, August 1977

The TeV physics of strongly interacting W's and Z's
journal, January 1985

Electroweak Sudakov effects in $W$ , $Z$ and $γ$ production at large transverse momentum
journal, July 2013

Light-front formulation of the standard model
journal, August 2002

Top-quark initiated processes at high-energy hadron colliders
journal, April 2015

Parton showers with quantum interference
journal, September 2007

Tagging the Higgs
journal, January 1988

Transverse momentum distribution in Drell-Yan pair and W and Z boson production
journal, January 1985

One-loop leading logarithms in electroweak radiative corrections: I. Results
journal, January 2001

Weak boson emission in hadron collider processes
journal, January 2007

Probing the scattering of equivalent electroweak bosons
journal, June 2012

A comparative study of coherent and non-coherent parton shower evolution
journal, January 1987

Factorization Of Hard Processes In QCD
book, July 1989

Identification of heavy, energetic, hadronically decaying particles using machine-learning techniques
journal, June 2020

Resummed photon spectra for WIMP annihilation
journal, March 2018

Polarization effects in standard model parton distributions at very high energies
journal, March 2019

Heavy neutrinos with dynamic jet vetoes: multilepton searches at $$ \sqrt{s}=14 $$, 27, and 100 TeV
journal, June 2019

Electroweak logarithms in inclusive cross sections
journal, August 2018

Examining the origin of dark matter mass at colliders
journal, September 2018

Fusing Vectors into Scalars at High Energy Lepton Colliders
text, January 2018