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Gil Paz

Publications and source records attributed to Gil Paz.

At least 55 records · Page 3Linked to original sources
arXiv2011

Long-Distance Dominance of the CP Asymmetry in B->X_{s,d}+gamma Decays

We show that in the Standard Model the parametrically leading (by a factor 1/alpha_s) contribution to the inclusive CP asymmetry in B->X_{s,d}+gamma decays arises from a long-distance effect in the interference of the electromagnetic dipole amplitude with the amplitude for an up-quark penguin transition accompanied by soft gluon emission. This contribution is governed by a single hadronic parameter Lambda_{17}^u related to a matrix elements of a non-local operator. In view of current experimental data, a future precision measurement of the flavor-averaged CP asymmetry in B->X_s+gamma will signal the presence of new physics only if a value below -2% is found. A cleaner probe of new physics is offered by the difference of the CP asymmetries in charged versus neutral B-meson decays.

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arXiv2010

Model independent extraction of the proton charge radius from electron scattering

Constraints from analyticity are combined with experimental electron-proton scattering data to determine the proton charge radius. In contrast to previous determinations, we provide a systematic procedure for analyzing arbitrary data without model-dependent assumptions on the form factor shape. We also investigate the impact of including electron-neutron scattering data, and $ππ\to N\bar{N}$ data. Using representative datasets we find r_E^p=0.870 +/- 0.023 +/- 0.012 fm using just proton scattering data; r_E^p=0.880^{+0.017}_{-0.020} +/- 0.007 fm adding neutron data; and r_E^p=0.871 +/- 0.009 +/- 0.002 +/- 0.002 fm adding $ππ$ data. The analysis can be readily extended to other nucleon form factors and derived observables.

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arXiv2010

Factorization at Subleading Power and Irreducible Uncertainties in $\bar B\to X_sγ$ Decay

Using methods from soft-collinear and heavy-quark effective theory, a systematic factorization analysis is performed for the $\bar B\to X_sγ$ photon spectrum in the endpoint region $m_b-2E_γ={\cal O}(Λ_{\rm QCD})$. It is proposed that, to all orders in $1/m_b$, the spectrum obeys a novel factorization formula, which besides terms with the structure $H\,J\otimes S$ familiar from inclusive $\bar B\to X_u l\,\barν$ decay distributions contains "resolved photon" contributions of the form $H\,J\otimes S\otimes\bar J$ and $H\,J\otimes S\otimes\bar J\otimes\bar J$. Here $S$ and $\bar J$ are new soft and jet functions, whose form is derived. These contributions arise whenever the photon couples to light partons instead of coupling directly to the effective weak interaction. The new contributions appear first at order $1/m_b$ and are related to operators other than $Q_{7γ}$ in the effective weak Hamiltonian. They give rise to non-vanishing $1/m_b$ corrections to the total decay rate, which cannot be described using a local operator product expansion. A systematic analysis of these effects is performed at tree level in hard and hard-collinear interactions. The resulting uncertainty on the decay rate defined with a cut $E_γ>1.6$ GeV is estimated to be approximately $\pm 5%$. It could be reduced by an improved measurement of the isospin asymmetry $Δ_{0-}$ to the level of $\pm 4%$. We see no possibility to reduce this uncertainty further using reliable theoretical methods.

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arXiv2010

An Effective Field Theory Look at Deep Inelastic Scattering

This talk discusses the effective field theory view of deep inelastic scattering. In such an approach, the standard factorization formula of a hard coefficient multiplied by a parton distribution function arises from matching of QCD onto an effective field theory. The DGLAP equations can then be viewed as the standard renormalization group equations that determines the cut-off dependence of the non-local operator whose forward matrix element is the parton distribution function. As an example, the non-singlet quark splitting functions is derived directly from the renormalization properties of the non-local operator itself. This approach, although discussed in the literature, does not appear to be well known to the larger high energy community. In this talk we give a pedagogical introduction to this subject.

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arXiv2010

Combining Anomaly and Z' Mediation of Supersymmetry Breaking

We propose a scenario in which the supersymmetry breaking effect mediated by an additional U(1)' is comparable with that of anomaly mediation. We argue that such a scenario can be naturally realized in a large class of models. Combining anomaly with Z' mediation allows us to solve the tachyonic slepton problem of the former and avoid significant fine tuning in the latter. We focus on an NMSSM-like scenario where U(1)' gauge invariance is used to forbid a tree-level mu term, and present concrete models, which admit successful dynamical electroweak symmetry breaking. Gaugino masses are somewhat lighter than the scalar masses, and the third generation squarks are lighter than the first two. In the specific class of models under consideration, the gluino is light since it only receives a contribution from 2-loop anomaly mediation, and it decays dominantly into third generation quarks. Gluino production leads to distinct LHC signals and prospects of early discovery. In addition, there is a relatively light Z', with mass in the range of several TeV. Discovering and studying its properties can reveal important clues about the underlying model.

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arXiv2009

Subleading Jet Functions in Inclusive B Decays

The contribution of subleading jet functions to inclusive decay distributions of $B$ mesons are derived from a systematic two-step matching of QCD current correlators onto soft collinear and heavy quark effective theory. Focusing on the tree level matching of QCD onto soft collinear effective theory, the subleading jet functions are defined to all orders in $α_s(μ_i)$ (with $μ_i^2\sim m_bΛ_{\rm QCD}$) and are calculated explicitly at first order in $α_s(μ_i)$. We present explicit expressions for the decay rates of $B\to X_u l \barν$ and the $Q_{7γ}-Q_{7γ}$ contribution to $B\to X_s γ$, where the subleading jet functions are multiplied by a tree level hard function and appear in a convolution with the leading order shape function. Together with the recent two loop calculation of the leading order hard function for $B\to X_u l \barν$, this paper will allow for a more precise description of inclusive B decays in the end point region.

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arXiv2008

Scalar Potentials and Accidental Symmetries in Supersymmetric U(1)' Models

We address two closely related problems associated with the singlet scalars' potential that are often present in supersymmetric U(1)' models, especially those which maintain the gauge unification of the MSSM in a simple way. The first is the possibility of an accidental global symmetry which results in a light Goldstone boson. The second is the problem of generating a vacuum expectation value for more than one field without reintroducing the $μ$ problem. We give sufficient conditions for addressing both issues and provide a concrete example to generate them.

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arXiv2008

Aspects of Z'-mediated Supersymmetry Breaking

In a recent paper, we proposed the possibility that supersymmetry breaking is communicated dominantly via a U(1)' vector multiplet. We also required that the U(1)' plays a crucial role in solving the mu problem. We discuss here in detail both the construction and the phenomenology of one class of such models. The low energy spectrum generically contains heavy sfermions, Higgsinos and exotics ~10-100 TeV; an intermediate M_Z' ~ 3-30 TeV; light gauginos ~100-1000 GeV, of which the lightest can be wino-like; a light Higgs with a mass of ~140 GeV; and a singlino which can be very light. We present a set of possible consistent charge choices. Several benchmark models are used to demonstrate characteristic phenomenological features. Special attention is devoted to interesting LHC signatures such as gluino decay and the decay patterns of the electroweak-inos. Implications for neutrino masses, exotic decays, R-parity, gauge unification, and the gravitino mass are briefly discussed.

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arXiv2008

Z'-mediated Supersymmetry Breaking

We consider a class of models in which supersymmetry breaking is communicated dominantly via a U'(1) gauge interaction, which also helps solve the μproblem. Such models can emerge naturally in top-down constructions and are a version of split supersymmetry. The spectrum contains heavy sfermions, Higgsinos, exotics, and Z' ~ 10-100 TeV; light gauginos ~ 100-1000 GeV; a light Higgs ~ 140 GeV; and a light singlino. A specific set of U'(1) charges and exotics is analyzed, and we present five benchmark models. Implications for the gluino lifetime, cold dark matter, and the gravitino and neutrino masses are discussed.

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arXiv2007

A T-odd observable sensitive to CP violating phases in squark decay

We present a new observable sensitive to a certain combination of CP violating phases in supersymmetric extensions of the Standard Model, viz. a triple product of momenta in the cascade decay of a heavy squark via an on-shell neutralino and off-shell slepton. We investigate the regions of parameter space in which the signal is strong enough to be detectable at the LHC with $\sim \bigl(10^2-10^3\bigr)/\sin^2(2Δϕ)$ identified events, where $Δϕ$ is a certain combination of phases in the MSSM presented in the text.

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arXiv2007

Enhanced Non-local Power Corrections to the B->X_s+gamma Decay Rate

A new class of enhanced non-perturbative corrections to the inclusive B->X_s+gamma decay rate is identified, which contribute first at order Lambda/m_b in the heavy-quark expansion and cannot be described using a local operator product expansion. Instead, these effects are described in terms of hadronic matrix elements of non-local operators with component fields separated by light-like distances. They contribute to the high-energy part of the photon-energy spectrum but do not reduce to local operators when an integral over energy is taken to obtain the total inclusive decay rate. The dominant corrections depend on the flavor of the B-meson spectator quark and are described by tri-local four-quark operators. Their contribution is estimated using the vacuum insertion approximation. The corresponding uncertainty in the total decay rate is found to be at the few percent level. This new effect accounts for the leading contribution to the rate difference between B^- and B^0 mesons.

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arXiv2007

Precision Determination of $|V_{ub}|$

The last two years have seen an impressive improvement in the determination of $|V_{ub}|$, especially from inclusive decays. The error on $|V_{ub}|$ measured with inclusive decays was reduced from 18% (PDG 2004) to 8% (PDG 2006). This progress is a result of combined experimental and theoretical efforts. In this talk, the theoretical framework (BLNP) that enabled such progress is reviewed, as well as other approaches to an inclusive determination of $|V_{ub}|$ (DGE, $M_X-q^2$ etc.). The prospects of improving $|V_{ub}|$ are discussed, addressing issues of weak annihilation, implications of leptonic B decays, and determination of $|V_{ub}|$ with exclusive decays.

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arXiv2006

Charmless inclusive B decays and the extraction of V(ub)

This work discusses charmless inclusive B decays and their application to the extraction of $|V_{ub}|$. Starting from first principles we relate the differential decay rate to the hadronic tensor in terms of optimal choice of kinematical variables. We review the traditional methods of calculating the hadronic tensor, expansion in $α_s$ and HQET, and discuss their shortcomings. In the kinematical region relevant for experiment ("shape function" region), the hadronic tensor can be factorized, at each order in $1/m_b$, as a product of calculable hard functions and a convolution of calculable jet functions with non perturbative shape functions. Using SCET, we calculate the leading order hard and jet function to first order in $α_s$. Large logarithms are resummed in RGE improved perturbation theory. Local OPE is used to relate moments of the renormalized shape function to HQET parameters, defined in the "shape function scheme". Beyond leading order in $1/m_b$, several subleading shape functions arise. We derive them at tree level, where they can be expressed as forward matrix elements of bi-local light-cone operators. Based on these theoretical calculations we present two applications. In the first, we present the "state-of-the-art " expressions for the triple differential $\bar B\to X_u l\barν$ decay rate and the $\bar B\to X_sγ$ photon spectrum. These expressions include all known contributions and smoothly interpolate between the "shape-function" and "OPE region". Based on these an event generator can be constructed, from which the theoretical prediction for any experimental cut can be extracted. In the second, a weight function is constructed that relates the $P_+$ spectrum in $\bar B\to X_u l\barν$ to the normalized $\bar B\to X_sγ$ photon spectrum.

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arXiv2005

The flavor of a little Higgs with T-parity

We analyze flavor constraints in the littlest Higgs model with T-parity. In particular, we focus on neutral meson mixing in the K, B, and D systems due to one loop contributions from T-parity odd fermions and gauge bosons. We calculate the short distance contributions to mixing for a general choice of T-odd fermion Yukawa couplings. We find that for a generic choice of textures, a TeV scale GIM suppression is necessary to avoid large contributions. If order one mixing angles are allowed in the extended flavor structure, the mass spectrum is severely constrained, and must be degenerate at the 1-5% level. However, there are still regions of parameter space where only a loose degeneracy is necessary to avoid constraints. We also consider the B(s) system, and identify a scenario in which the mixing can be significantly enhanced beyond the standard model prediction while still satisfying bounds on the other mixing observables. We present both analytical and numerical results as functions of the T-odd fermion mass eigenvalues.

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arXiv2005

A two-loop relation between inclusive radiative and semileptonic B-decay spectra

A shape-function independent relation is derived between the partial B->X_u+l+nu decay rate with a cut on P_+=E_X-P_X X_s+gamma photon-energy spectrum. The leading-power contribution to the weight function is calculated at next-to-next-to-leading order in renormalization-group improved perturbation theory, including exact two-loop matching corrections at the scale mu_i^2 ~ m_b*Lambda_{QCD}. The overall normalization of the weight function is obtained up to yet unknown corrections of order [alpha_s(m_b)]^2. Power corrections from phase-space factors are included exactly, while the remaining subleading contributions are included at first order in 1/m_b. At this level unavoidable hadronic uncertainties enter, which are estimated in a conservative way. The combined theoretical accuracy in the extraction of |V_{ub}| is at the level of 5% if a value of Delta near the charm threshold can be achieved experimentally.

hep-ph↗
arXiv2005

Theory of Charmless Inclusive B Decays and the Extraction of V_{ub}

We present ``state-of-the-art'' theoretical expressions for the triple differential B->X_u l^- nu decay rate and for the B->X_s gamma photon spectrum, which incorporate all known contributions and smoothly interpolate between the ``shape-function region'' of large hadronic energy and small invariant mass, and the ``OPE region'' in which all hadronic kinematical variables scale with M_B. The differential rates are given in a form which has no explicit reference to the mass of the b quark, avoiding the associated uncertainties. Dependence on m_b enters indirectly through the properties of the leading shape function, which can be determined by fitting the B->X_s gamma photon spectrum. This eliminates the dominant theoretical uncertainties from predictions for B->X_u l^- nu decay distributions, allowing for a precise determination of |V_{ub}|. In the shape-function region, short-distance and long-distance contributions are factorized at next-to-leading order in renormalization-group improved perturbation theory. Higher-order power corrections include effects from subleading shape functions where they are known. When integrated over sufficiently large portions in phase space, our results reduce to standard OPE expressions up to yet unknown O(alpha_s^2) terms. Predictions are presented for partial B->X_u l^- nu decay rates with various experimental cuts. An elaborate error analysis is performed that contains all significant theoretical uncertainties, including weak annihilation effects. We suggest that the latter can be eliminated by imposing a cut on high lepton invariant mass.

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