The Experts below are selected from a list of 9387 Experts worldwide ranked by ideXlab platform
Frank Petriello - One of the best experts on this subject based on the ideXlab platform.
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transverse momentum distributions from effective field theory with numerical results
Physical Review D, 2011Co-Authors: Sonny Mantry, Frank PetrielloAbstract:We derive a Factorization Theorem for the differential distributions of electroweak gauge bosons in Drell-Yan processes, valid at low transverse momentum, using the soft-collinear effective theory. We present the next-to-leading logarithmic transverse momentum distribution for the Z-boson and find good agreement with Tevatron data collected by the CDF and D0 collaborations. We also give predictions for the Higgs boson differential distributions at next-to-leading logarithmic accuracy based on a Factorization Theorem derived in earlier work. We derive formulas for all quantities needed to study low transverse momentum production of color-neutral particles within the effective theory. This effective field theory approach is free of Landau poles and can be formulated entirely in momentum space. Consequently, our results are free of the Landau-pole prescriptions necessary in the standard approach.
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Factorization and resummation of higgs boson differential distributions in soft collinear effective theory
Physical Review D, 2010Co-Authors: Sonny Mantry, Frank PetrielloAbstract:We derive a Factorization Theorem for the Higgs boson transverse momentum (${p}_{T}$) and rapidity ($Y$) distributions at hadron colliders, using the soft-collinear effective theory (SCET), for ${m}_{h}\ensuremath{\gg}{p}_{T}\ensuremath{\gg}{\ensuremath{\Lambda}}_{\mathrm{QCD}}$, where ${m}_{h}$ denotes the Higgs mass. In addition to the Factorization of the various scales involved, the perturbative physics at the ${p}_{T}$ scale is further factorized into two collinear impact-parameter beam functions (IBFs) and an inverse soft function (ISF). These newly defined functions are of a universal nature for the study of differential distributions at hadron colliders. The additional Factorization of the ${p}_{T}$-scale physics simplifies the implementation of higher order radiative corrections in ${\ensuremath{\alpha}}_{s}({p}_{T})$. We derive formulas for Factorization in both momentum and impact parameter space and discuss the relationship between them. Large logarithms of the relevant scales in the problem are summed using the renormalization group equations of the effective theories. Power corrections to the Factorization Theorem in ${p}_{T}/{m}_{h}$ and ${\ensuremath{\Lambda}}_{\mathrm{QCD}}/{p}_{T}$ can be systematically derived. We perform multiple consistency checks on our Factorization Theorem including a comparison with known fixed-order QCD results. We compare the SCET Factorization Theorem with the Collins-Soper-Sterman approach to low-${p}_{T}$ resummation.
Saadi Ishaq - One of the best experts on this subject based on the ideXlab platform.
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Factorization Theorem connecting the light cone distribution amplitudes of heavy flavor mesons in qcd and heavy quark effective theory
Physical Review Letters, 2020Co-Authors: Saadi Ishaq, Yu Jia, Xiaonu Xiong, Deshan YangAbstract:The light-cone distribution amplitude (LCDA) of a heavy-light meson defined in heavy quark effective theory (HQET) is a fundamental nonperturbative input to account for innumerable $B$ meson exclusive decay and production processes. On the other hand, the conventional heavy-flavored meson LCDA defined in QCD also ubiquitously enters the Factorization formula for hard exclusive $B$ production processes. Inspired by the observation that these two LCDAs exhibit the identical infrared behaviors, yet differ in the ultraviolet scale of order ${m}_{b}$ or greater, we propose a novel Factorization Theorem for the heavy-light mesons, that the LCDA defined in QCD can be further expressed as a convolution between the LCDA in HQET and a perturbatively calculable coefficient function thanks to asymptotic freedom. This reFactorization program can be invoked to fully disentangle the effects from three disparate scales $Q$, ${m}_{b}$, and ${\mathrm{\ensuremath{\Lambda}}}_{\mathrm{QCD}}$ for a hard exclusive $B$ production process, particularly to facilitate the resummation of logarithms of type $\mathrm{ln}Q/{m}_{b}$ and $\mathrm{ln}{m}_{b}/{\mathrm{\ensuremath{\Lambda}}}_{\mathrm{QCD}}$ in a systematic fashion.
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a Factorization Theorem connecting the light cone distribution amplitudes of heavy flavor mesons in qcd and hqet
arXiv: High Energy Physics - Phenomenology, 2019Co-Authors: Saadi Ishaq, Yu Jia, Xiaonu Xiong, Deshan YangAbstract:The light-cone distribution amplitude (LCDA) of a heavy-light meson defined in heavy quark effective theory (HQET), is a fundamental nonperturbative input to account for innumerable $B$ meson exclusive decay and production processes. On the other hand, the conventional heavy-flavored meson LCDA defined in QCD, also ubiquitously enters the Factorization formula for hard exclusive $B$ production processes. Inspired by the observation that these two LCDAs exhibit the identical infrared behaviors, yet differ in the ultraviolet scale of order $m_b$ or greater, we propose a novel Factorization Theorem for the heavy-light mesons, that the LCDA defined in QCD can be further expressed as a convolution between the LCDA in HQET and a perturbatively calculable coefficient function thanks to asymptotic freedom. This reFactorization program can be invoked to fully disentangle the effects from three disparate scales $Q$, $m_b$ and $\Lambda_{\rm QCD}$ for a hard exclusive $B$ production process, particularly to facilitate the resummation of logarithms of type $\ln Q/m_b$ and $\ln m_b/\Lambda_{\rm QCD}$ in a systematic fashion.
Lasha Ephremidze - One of the best experts on this subject based on the ideXlab platform.
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an elementary proof of the polynomial matrix spectral Factorization Theorem
Proceedings of The Royal Society A: Mathematical Physical and Engineering Sciences, 2014Co-Authors: Lasha EphremidzeAbstract:A very simple and short proof of the polynomial matrix spectral Factorization Theorem (on the unit circle as well as on the real line) is presented, which relies on elementary complex analysis and linear algebra.
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An Analytic Proof of the Matrix Spectral Factorization Theorem
gmj, 2008Co-Authors: Lasha Ephremidze, Gigla Janashia, Edem LagvilavaAbstract:Abstract An analytic proof of Wiener's Theorem on Factorization of positive definite matrix-functions is proposed.
Deshan Yang - One of the best experts on this subject based on the ideXlab platform.
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Factorization Theorem connecting the light cone distribution amplitudes of heavy flavor mesons in qcd and heavy quark effective theory
Physical Review Letters, 2020Co-Authors: Saadi Ishaq, Yu Jia, Xiaonu Xiong, Deshan YangAbstract:The light-cone distribution amplitude (LCDA) of a heavy-light meson defined in heavy quark effective theory (HQET) is a fundamental nonperturbative input to account for innumerable $B$ meson exclusive decay and production processes. On the other hand, the conventional heavy-flavored meson LCDA defined in QCD also ubiquitously enters the Factorization formula for hard exclusive $B$ production processes. Inspired by the observation that these two LCDAs exhibit the identical infrared behaviors, yet differ in the ultraviolet scale of order ${m}_{b}$ or greater, we propose a novel Factorization Theorem for the heavy-light mesons, that the LCDA defined in QCD can be further expressed as a convolution between the LCDA in HQET and a perturbatively calculable coefficient function thanks to asymptotic freedom. This reFactorization program can be invoked to fully disentangle the effects from three disparate scales $Q$, ${m}_{b}$, and ${\mathrm{\ensuremath{\Lambda}}}_{\mathrm{QCD}}$ for a hard exclusive $B$ production process, particularly to facilitate the resummation of logarithms of type $\mathrm{ln}Q/{m}_{b}$ and $\mathrm{ln}{m}_{b}/{\mathrm{\ensuremath{\Lambda}}}_{\mathrm{QCD}}$ in a systematic fashion.
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a Factorization Theorem connecting the light cone distribution amplitudes of heavy flavor mesons in qcd and hqet
arXiv: High Energy Physics - Phenomenology, 2019Co-Authors: Saadi Ishaq, Yu Jia, Xiaonu Xiong, Deshan YangAbstract:The light-cone distribution amplitude (LCDA) of a heavy-light meson defined in heavy quark effective theory (HQET), is a fundamental nonperturbative input to account for innumerable $B$ meson exclusive decay and production processes. On the other hand, the conventional heavy-flavored meson LCDA defined in QCD, also ubiquitously enters the Factorization formula for hard exclusive $B$ production processes. Inspired by the observation that these two LCDAs exhibit the identical infrared behaviors, yet differ in the ultraviolet scale of order $m_b$ or greater, we propose a novel Factorization Theorem for the heavy-light mesons, that the LCDA defined in QCD can be further expressed as a convolution between the LCDA in HQET and a perturbatively calculable coefficient function thanks to asymptotic freedom. This reFactorization program can be invoked to fully disentangle the effects from three disparate scales $Q$, $m_b$ and $\Lambda_{\rm QCD}$ for a hard exclusive $B$ production process, particularly to facilitate the resummation of logarithms of type $\ln Q/m_b$ and $\ln m_b/\Lambda_{\rm QCD}$ in a systematic fashion.
Ignazio Scimemi - One of the best experts on this subject based on the ideXlab platform.
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Factorization Theorem for drell yan at low q t and transverse momentum distributions on the light cone
Journal of High Energy Physics, 2012Co-Authors: Miguel G Echevarria, Ahmad Idilbi, Ignazio ScimemiAbstract:We derive a Factorization Theorem for Drell-Yan process at low q T using effective field theory methods. In this Theorem all the obtained quantities are gauge invariant and the special role of the soft function — and its subtraction thereof — is emphasized. We define transverse-momentum dependent parton distribution functions (TMDPDFs) which are free from light-cone singularities while all the Wilson lines are defined on-the-light-cone. We show explicitly to first order in α s that the partonic Feynman PDF can be obtained from the newly defined partonic TMDPDF by integrating over the transverse momentum of the parton inside the hadron. We obtain a resummed expression for the TMDPDF, and hence for the cross section, in impact parameter space. The universality of the newly defined matrix elements is established perturbatively to first order in α s . The Factorization Theorem is validated to first order in α s and also the gauge invariance between Feynman and light-cone gauges.
