M. Block

activity

19952016

most citedHadronic forward scattering: Predictions for the Large Hadron Collider and cosmic rays

115 citations · 996 across the 43 of their papers we have counts for

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40 papers · 1 filter

hep-ph2016★ 7 cited

The slope, curvature, and higher parameters in $pp$ and $p ˉ p$ scattering, and the extrapolation of measurements of $d σ (s, t) / d t$ to $t = 0$

Martin M. Block, Loyal Durand, Phuoc Ha +1

We study the effects of curvature in the expansion of the logarithm of the differential elastic scattering cross section near $t = 0$ as $dσ(s,t)/dt=dσ(s,0)/dt\,\times\exp(Bt+Ct^2+Dt…

hep-ph2016★ 1 cited

Comment on "More on Heisenberg's model for high energy nucleon-nucleon scattering"

Martin M. Block, Loyal Durand, Phuoc Ha +1

We comment on the treatment of asymptotic black-disk scattering in a recent paper of Nastase and Sonnenschein, Phys.\ Rev.\ D\ {\bf 92}, 015028 (2015), on scattering in an updated…

hep-ph2015★ 20 cited

Comprehensive fits to high energy data for $σ$ , $ρ$ , and $B$ and the asymptotic black-disk limit

Martin M. Block, Loyal Durand, Phuoc Ha +1

We demonstrate that the entirety of the data on proton--proton and antiproton--proton forward scattering between 6 GeV and 57 TeV center-of-mass energy is sufficient to show that $…

hep-ph2015★ 2 cited

Eikonal fit to $pp$ and $p ˉ p$ scattering and the edge in the scattering amplitude

Martin M. Block, Loyal Durand, Phuoc Ha +1

We make a detailed eikonal fit to current data on the total and elastic scattering cross sections, the ratios $ρ$ of the real to the imaginary parts of the forward elastic scatteri…

hep-ph2014★ 18 cited

Evidence for a Constant `Edge' in Proton-Proton Scattering at Very High Energies

Martin M. Block, Loyal Durand, Francis Halzen +2

Accurate fits to $pp$ and $p ˉ p$ cross section data up to Tevatron energies, incorporating the constraints imposed by analyticity and unitarity, successfully predict the results…

hep-ph2014★ 78 cited

Connection of the virtual $γ^{*} p$ cross section of $e p$ deep inelastic scattering to real $γ p$ scattering, and the implications for $ν N$ and $e p$ total cross sections

Martin M. Block, Loyal Durand, Phuoc Ha

We show that it is possible to fit all of the HERA DIS (deep inelastic scattering) data on $F_{2}^{γ p}$ at small values of Bjorken $x$ , including the data at {\em very low} $Q^{2}$ , us…

hep-ph2013★ 21 cited

Implications of a Froissart bound saturation of $γ^{*}$ - $p$ deep inelastic scattering. Part II. Ultra-high energy neutrino interactions

Martin M. Block, Loyal Durand, Phuoc Ha +1

In Part I (in this journal) we argued that the structure function $F_{2}^{γ p} (x, Q^{2})$ in deep inelastic $e p$ scattering, regarded as a cross section for virtual $γ^{*} p$ scattering, ha…

hep-ph2013★ 30 cited

Implications of a Froissart bound saturation of $γ^{*}$ - $p$ deep inelastic scattering. Part I. Quark distributions at ultra small $x$

Martin M. Block, Loyal Durand, Phuoc Ha +1

We argue that the deep inelastic structure function $F_{2}^{γ p} (x, Q^{2})$ , regarded as a cross section for virtual $γ^{*} p$ scattering, is hadronic in nature. This implies that its grow…

hep-ph2012★ 3 cited

Commentary on "Total Hadronic Cross Section Data and the Froissart-Martin Bound", by Fagundes, Menon and Silva

Martin M. Block, Francis Halzen

This Commentary on the paper "Total Hadronic Cross Section Data and the Froissart-Martin Bound", by Fagundes, Menon and Silva, to be published in Braz. J. of Phys., Vol. 42 (2012)…

hep-ph2012★ 50 cited

New experimental evidence that the proton develops asymptotically into a black disk

Martin M. Block, Francis Halzen

Recently, the Auger group has extracted the proton-air cross section from observations of air showers produced by cosmic ray protons (and nuclei) interacting in the atmosphere and…

hep-ph2012★ 15 cited

Forward hadronic scattering at 8 TeV: predictions for the LHC

Martin M. Block, Francis Halzen

The Large Hadron Collider (LHC) recently started operating at 8 TeV. In this note, we update our earlier LHC forward hadronic scattering predictions \cite{physicsreports,update7, b…

hep-ph2012★ 4 cited

"Soft" Hadronic Cross Sections Challenge Hidden Dimensions

Martin M. Block, Francis Halzen

High energy measurements of the inelastic proton-proton cross sections, at the LHC at $s$ =7 TeV and by Auger at 57 TeV, have validated previous evidence from data collected o…

hep-ph2011

Comment on "Ultrahigh-Energy Neutrino-Nucleon Deep-Inelastic Scattering and the Froissart Bound": Phys. Rev. Lett. 106, 231802 (2011)

Martin M. Block, Phuoc Ha, Douglas W. McKay

The authors of a recent paper, "Ultrahigh-Energy Neutrino-Nucleon Deep-Inelastic Scattering and the Froissart Bound", A. Illarianov, B. Kniehl and A. Kotikov, Phys. Rev. Lett. 106,…

hep-ph2011★ 15 cited

Ultra-high Energy Predictions of Proton-Air Cross Sections from Accelerator Data: an Update

M. M. Block

At $s = 57 \pm 7$ TeV, the Pierre Auger Observatory (PAO) collaboration has recently measured the proton-air inelastic production cross section $σ_{p - air}$ . Assuming a hel…

hep-ph2011★ 59 cited

Experimental Confirmation that the Proton is Asymptotically a Black Disk

Martin M. Block, Francis Halzen

Although experimentally accessible energies can not probe `asymptopia', recent measurements of` inelastic $pp$ cross sections at the LHC at 7000 GeV and by Auger at 57000 GeV allow…

hep-ph2011★ 42 cited

Applications of the leading-order Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution equations to the combined HERA data on deep inelastic scattering

Martin M. Block, Loyal Durand, Phuoc Ha +1

We recently derived explicit solutions of the leading-order Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) equations for the $Q^{2}$ evolution of the singlet structure function $…

hep-ph2011★ 32 cited

Forward hadronic scattering at 7 TeV: predictions for the LHC; an update

Martin M. Block, Francis Halzen

The LHC has successfully run for a long period at half energy, 7 TeV. In this note, we update earlier full-energy Large Hadron Collider (LHC) forward hadronic scattering prediction…

hep-ph2010★ 42 cited

An analytic solution to LO coupled DGLAP evolution equations: a new pQCD tool

Martin M. Block, Loyal Durand, Phuoc Ha +1

We have analytically solved the LO pQCD singlet DGLAP equations using Laplace transform techniques. Newly-developed highly accurate numerical inverse Laplace transform algorithms a…

hep-ph2010★ 2 cited

Hadronic Cross sections: from cyclotrons to colliders to cosmic rays

Martin M. Block

We present evidence for the saturation of the Froissart bound at high energy for {\em all hadronic} total cross sections at high energies, and use this to unify $pp$ (and $\bar p p…

hep-ph2010★ 35 cited

Ultrahigh energy neutrino scattering: an update

Martin M. Block, Phuoc Ha, Douglas W. McKay

We update our estimates of charged and neutral current neutrino total cross sections on isoscalar nucleons at ultrahigh energies using a global (x, Q^2) fit, motivated by the Frois…

hep-ph2010★ 32 cited

Decoupling the NLO coupled DGLAP evolution equations: an analytic solution to pQCD

Martin M. Block, Loyal Durand, Phuoc Ha +1

Using repeated Laplace transform techniques, along with newly-developed accurate numerical inverse Laplace transform algorithms, we transform the coupled, integral-differential NLO…

hep-ph2010★ 18 cited

Addendum to: "A new numerical method for obtaining gluon distribution functions $G (x, Q^{2}) = xg (x, Q^{2})$ , from the proton structure function $F_{2}^{γ p} (x, Q^{2})$ ."

Martin M. Block

In a recent Letter entitled "A new numerical method for obtaining gluon distribution functions $G (x, Q^{2}) = xg (x, Q^{2})$ , from the proton structure function $F_{2}^{γ p} (x, Q^{2})$ " [arXiv:09…

hep-ph2010

Decoupling the coupled DGLAP evolution equations: an analytic solution to pQCD

Martin M. Block, Loyal Durand, Phuoc Ha +1

Using Laplace transform techniques, along with newly-developed accurate numerical inverse Laplace transform algorithms, we decouple the solutions for the singlet structure function…

hep-ph2009★ 35 cited

A new numerical method for obtaining gluon distribution functions $G (x, Q^{2}) = xg (x, Q^{2})$ , from the proton structure function $F_{2}^{γ p} (x, Q^{2})$

Martin M. Block

An exact expression for the leading-order (LO) gluon distribution function $G (x, Q^{2}) = xg (x, Q^{2})$ from the DGLAP evolution equation for the proton structure function $F_2^{γp}(x,Q^2)…

The slope, curvature, and higher parameters in pp and pˉ​p scattering, and the extrapolation of measurements of dσ(s,t)/dt to t=0

Comment on "More on Heisenberg's model for high energy nucleon-nucleon scattering"

Comprehensive fits to high energy data for σ, ρ, and B and the asymptotic black-disk limit

Eikonal fit to pp and pˉ​p scattering and the edge in the scattering amplitude

Evidence for a Constant `Edge' in Proton-Proton Scattering at Very High Energies

Connection of the virtual γ∗p cross section of ep deep inelastic scattering to real γp scattering, and the implications for νN and ep total cross sections

Implications of a Froissart bound saturation of γ∗-p deep inelastic scattering. Part II. Ultra-high energy neutrino interactions

Implications of a Froissart bound saturation of γ∗-p deep inelastic scattering. Part I. Quark distributions at ultra small x

Commentary on "Total Hadronic Cross Section Data and the Froissart-Martin Bound", by Fagundes, Menon and Silva

New experimental evidence that the proton develops asymptotically into a black disk

Forward hadronic scattering at 8 TeV: predictions for the LHC

"Soft" Hadronic Cross Sections Challenge Hidden Dimensions

Comment on "Ultrahigh-Energy Neutrino-Nucleon Deep-Inelastic Scattering and the Froissart Bound": Phys. Rev. Lett. 106, 231802 (2011)

Ultra-high Energy Predictions of Proton-Air Cross Sections from Accelerator Data: an Update

Experimental Confirmation that the Proton is Asymptotically a Black Disk

Applications of the leading-order Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution equations to the combined HERA data on deep inelastic scattering

Forward hadronic scattering at 7 TeV: predictions for the LHC; an update

An analytic solution to LO coupled DGLAP evolution equations: a new pQCD tool

Hadronic Cross sections: from cyclotrons to colliders to cosmic rays

Ultrahigh energy neutrino scattering: an update

Decoupling the NLO coupled DGLAP evolution equations: an analytic solution to pQCD

Addendum to: "A new numerical method for obtaining gluon distribution functions G(x,Q2)=xg(x,Q2), from the proton structure function F2γp​(x,Q2)."

Decoupling the coupled DGLAP evolution equations: an analytic solution to pQCD

A new numerical method for obtaining gluon distribution functions G(x,Q2)=xg(x,Q2), from the proton structure function F2γp​(x,Q2)

The slope, curvature, and higher parameters in $pp$ and $p ˉ p$ scattering, and the extrapolation of measurements of $d σ (s, t) / d t$ to $t = 0$

Comprehensive fits to high energy data for $σ$ , $ρ$ , and $B$ and the asymptotic black-disk limit

Eikonal fit to $pp$ and $p ˉ p$ scattering and the edge in the scattering amplitude

Connection of the virtual $γ^{*} p$ cross section of $e p$ deep inelastic scattering to real $γ p$ scattering, and the implications for $ν N$ and $e p$ total cross sections

Implications of a Froissart bound saturation of $γ^{*}$ - $p$ deep inelastic scattering. Part II. Ultra-high energy neutrino interactions

Implications of a Froissart bound saturation of $γ^{*}$ - $p$ deep inelastic scattering. Part I. Quark distributions at ultra small $x$

Addendum to: "A new numerical method for obtaining gluon distribution functions $G (x, Q^{2}) = xg (x, Q^{2})$ , from the proton structure function $F_{2}^{γ p} (x, Q^{2})$ ."

A new numerical method for obtaining gluon distribution functions $G (x, Q^{2}) = xg (x, Q^{2})$ , from the proton structure function $F_{2}^{γ p} (x, Q^{2})$